Download or read book Analysis and Design of the Input Output Properties of Dynamical Networks written by Kasra Koorehdavoudi and published by . This book was released on 2019 with total page 345 pages. Available in PDF, EPUB and Kindle. Book excerpt: Controllers for many modern networks must be able to achieve increasingly sophisticated functions in a decentralized way under stress and in harsh environments, but also have the opportunity to leverage pervasive cyber systems (including new sensing, communications, and computing technologies) toward this goal. The main idea underlying this dissertation is that such control requires understanding and shaping input-to-output properties of dynamical networks. Based on this motivation, the focus of the dissertation is to: 1) develop graph-theoretic analyses of input-output channels in networks, and 2) understand how built control systems in networks can shape other channels' input-output properties. Toward this aim, we study a sequence of problems on the input-output dynamics (and, specifically, the invariant zeros) of canonical network models, and pursue applications of these methods in real-world settings.As a starting point, we study input-to-output dynamics in a standard linear model for network synchronization or diffusion or consensus, focusing on characterizing the influence of a built controller on the infinite and finite zero structure of a second single-input single-output (SISO) control channel from a graph theoretic perspective. As a further step, we also characterize the finite-zero and infinite-zero structure of a multi-input multi-output (MIMO) channel in the linear diffusive network model. Next, an application on distributed decision-making in the presence of multiple manipulative actors is considered, in the context of this model. In this effort, we evaluate the interplay among the manipulative actors in deciding: 1) the asymptotic decisions reached by the agents and 2) network's transient dynamics.Next, we pursue the analysis of zeros for a more sophisticated network model used in power transmission, namely the classical model for the swing dynamics of the bulk grid; and seek to evaluate the effect of a specific built control (HVDC modulation) on it. We characterize the finite-zero and infinite-zero structure for a SISO channel and investigate the effect of graph topology, input-output location, as well as the type of the control used on the HVDC line.Finally, the design of demand response strategies is pursued, with the aim of modulating the network's operating point so as to achieve desirable small-signal characteristics.

Download or read book Network Based Analysis of Dynamical Systems written by Dániel Leitold and published by Springer Nature. This book was released on 2020-01-13 with total page 119 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book explores the key idea that the dynamical properties of complex systems can be determined by effectively calculating specific structural features using network science-based analysis. Furthermore, it argues that certain dynamical behaviours can stem from the existence of specific motifs in the network representation. Over the last decade, network science has become a widely applied methodology for the analysis of dynamical systems. Representing the system as a mathematical graph allows several network-based methods to be applied, and centrality and clustering measures to be calculated in order to characterise and describe the behaviours of dynamical systems. The applicability of the algorithms developed here is presented in the form of well-known benchmark examples. The algorithms are supported by more than 50 figures and more than 170 references; taken together, they provide a good overview of the current state of network science-based analysis of dynamical systems, and suggest further reading material for researchers and students alike. The files for the proposed toolbox can be downloaded from a corresponding website.

Download or read book Nonlinear Dynamical Systems written by Irwin W. Sandberg and published by John Wiley & Sons. This book was released on 2001-02-21 with total page 316 pages. Available in PDF, EPUB and Kindle. Book excerpt: Sechs erfahrene Autoren beschreiben in diesem Band ein Spezialgebiet der neuronalen Netze mit Anwendungen in der Signalsteuerung, Signalverarbeitung und Zeitreihenanalyse. Ein zeitgemäßer Beitrag zur Behandlung nichtlinear-dynamischer Systeme!

Download or read book The Control Handbook three volume set written by William S. Levine and published by CRC Press. This book was released on 2018-10-08 with total page 3526 pages. Available in PDF, EPUB and Kindle. Book excerpt: At publication, The Control Handbook immediately became the definitive resource that engineers working with modern control systems required. Among its many accolades, that first edition was cited by the AAP as the Best Engineering Handbook of 1996. Now, 15 years later, William Levine has once again compiled the most comprehensive and authoritative resource on control engineering. He has fully reorganized the text to reflect the technical advances achieved since the last edition and has expanded its contents to include the multidisciplinary perspective that is making control engineering a critical component in so many fields. Now expanded from one to three volumes, The Control Handbook, Second Edition brilliantly organizes cutting-edge contributions from more than 200 leading experts representing every corner of the globe. They cover everything from basic closed-loop systems to multi-agent adaptive systems and from the control of electric motors to the control of complex networks. Progressively organized, the three volume set includes: Control System Fundamentals Control System Applications Control System Advanced Methods Any practicing engineer, student, or researcher working in fields as diverse as electronics, aeronautics, or biomedicine will find this handbook to be a time-saving resource filled with invaluable formulas, models, methods, and innovative thinking. In fact, any physicist, biologist, mathematician, or researcher in any number of fields developing or improving products and systems will find the answers and ideas they need. As with the first edition, the new edition not only stands as a record of accomplishment in control engineering but provides researchers with the means to make further advances.

Download or read book Exploiting Structure and Input Output Properties in Networked Dynamical Systems written by Ana Sofia Rufino Ferreira and published by . This book was released on 2015 with total page 111 pages. Available in PDF, EPUB and Kindle. Book excerpt: Large coupled networks of individual entities arise in multiple contexts in nature and engineered systems to produce rich dynamics and achieve complex behaviors. As the state-space dimension increases, the certification of stability and performance properties of these nonlinear dynamical systems becomes an intractable problem. In this thesis we develop decomposition methods that break up such convoluted systems into components of smaller dynamics whose behavior is dependent on the state of the neighboring components. These methods explore useful input-output properties of the subsystems in conjunction with the topology of their interconnections, providing results that scale well to large-scale networks. We begin by developing a mathematical approach to analyze spatial pattern formation in developmental biology that combines graph-theoretical and dynamical systems methods to systematically predict the emergence of patterns. This approach models the contact between cells by a graph and exploits its symmetries to create partitions of cells into classes of equal fate. Using monotone systems theory, we derive verifiable conditions that determine whether patterns consistent with such partitions exist and are stable. Then, we propose an engineered synthetic circuit that mimics contact inhibition by using diffusible molecules to spontaneously generate sharply contrasting patterns. Using a compartmental model, we determine a condition that serves as a parameter tuning guide for patterning. We next focus on exploring the symmetric topology of the interconnection to provide efficient certification of performance properties of large networks. Performance certification can be cast as a distributed optimization problem for which the existence of a solution is equivalent to the existence of a solution with repeated variables. We demonstrate that fast certification of stability and performance is possible by searching over solutions in a reduced order domain. Finally, motivated by the stochastic behavior of biological networks, we provide stochastic stability results for systems modeled by stochastic differential equations. We use stochastic passivity properties of the subsystems and a diagonal stability condition of the interconnection matrix together with the passivity gains to guarantee stochastic stability and noise-to-state stability.

Download or read book Analysis and Design of Robust and High Performance Complex Dynamical Networks written by Milad Siami and published by . This book was released on 2017 with total page 304 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the first part of this dissertation, we develop some basic principles to investigate performance deterioration of dynamical networks subject to external disturbances. First, we propose a graph-theoretic methodology to relate structural specifications of the coupling graph of a linear consensus network to its performance measure. Moreover, for this class of linear consensus networks, we introduce new insights into the network centrality based not only on the network graph but also on a more structured model of network uncertainties. Then, for the class of generic linear networks, we show that the H2-norm, as a performance measure, can be tightly bounded from below and above by some spectral functions of state and output matrices of the system. Finally, we study nonlinear autocatalytic networks and exploit their structural properties to characterize their existing hard limits and essential tradeoffs.

Download or read book Stability and Control of Large Scale Dynamical Systems written by Wassim M. Haddad and published by Princeton University Press. This book was released on 2011-12-04 with total page 390 pages. Available in PDF, EPUB and Kindle. Book excerpt: Modern complex large-scale dynamical systems exist in virtually every aspect of science and engineering, and are associated with a wide variety of technological, environmental, and social phenomena. This book develops stability analysis and control design framework for nonlinear large-scale interconnected dynamical systems.

Download or read book Applications written by Peter Benner and published by Walter de Gruyter GmbH & Co KG. This book was released on 2020-12-07 with total page 465 pages. Available in PDF, EPUB and Kindle. Book excerpt: An increasing complexity of models used to predict real-world systems leads to the need for algorithms to replace complex models with far simpler ones, while preserving the accuracy of the predictions. This three-volume handbook covers methods as well as applications. This third volume focuses on applications in engineering, biomedical engineering, computational physics and computer science.

Download or read book Logical Modeling of Cellular Processes From Software Development to Network Dynamics written by Matteo Barberis and published by Frontiers Media SA. This book was released on 2019-08-16 with total page 340 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematical models have become invaluable tools for understanding the intricate dynamic behavior of complex biochemical and biological systems. Among computational strategies, logical modeling has been recently gaining interest as an alternative approach to address network dynamics. Due to its advantages, including scalability and independence of kinetic parameters, the logical modeling framework is becoming increasingly popular to study the dynamics of highly interconnected systems, such as cell cycle progression, T cell differentiation and gene regulation. Novel tools and standards have been developed to increase the interoperability of logical models, which can now be employ to respond a variety of biological questions. This Research Topic brings together the most recent and cutting-edge approaches in the area of logical modeling including, among others, novel biological applications, software development and model analysis techniques.

Download or read book Dynamics On and Of Complex Networks III written by Fakhteh Ghanbarnejad and published by Springer. This book was released on 2019-05-13 with total page 244 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book bridges the gap between advances in the communities of computer science and physics--namely machine learning and statistical physics. It contains diverse but relevant topics in statistical physics, complex systems, network theory, and machine learning. Examples of such topics are: predicting missing links, higher-order generative modeling of networks, inferring network structure by tracking the evolution and dynamics of digital traces, recommender systems, and diffusion processes. The book contains extended versions of high-quality submissions received at the workshop, Dynamics On and Of Complex Networks (doocn.org), together with new invited contributions. The chapters will benefit a diverse community of researchers. The book is suitable for graduate students, postdoctoral researchers and professors of various disciplines including sociology, physics, mathematics, and computer science.

Download or read book Scientific and Technical Aerospace Reports written by and published by . This book was released on 1995 with total page 456 pages. Available in PDF, EPUB and Kindle. Book excerpt: Lists citations with abstracts for aerospace related reports obtained from world wide sources and announces documents that have recently been entered into the NASA Scientific and Technical Information Database.

Download or read book A Selected Annotated Bibliography on the Analysis of Water Resource Systems written by and published by . This book was released on 1976 with total page 420 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Handbook of Neural Engineering written by Metin Akay and published by John Wiley & Sons. This book was released on 2007-01-09 with total page 681 pages. Available in PDF, EPUB and Kindle. Book excerpt: An important new work establishing a foundation for future developments in neural engineering The Handbook of Neural Engineering provides theoretical foundations in computational neural science and engineering and current applications in wearable and implantable neural sensors/probes. Inside, leading experts from diverse disciplinary groups representing academia, industry, and private and government organizations present peer-reviewed contributions on the brain-computer interface, nano-neural engineering, neural prostheses, imaging the brain, neural signal processing, the brain, and neurons. The Handbook of Neural Engineering covers: Neural signal and image processing--the analysis and modeling of neural activity and EEG-related activities using the nonlinear and nonstationary analysis methods, including the chaos, fractal, and time-frequency and time-scale analysis methods--and how to measure functional, physiological, and metabolic activities in the human brain using current and emerging medical imaging technologies Neuro-nanotechnology, artificial implants, and neural prosthesis--the design of multi-electrode arrays to study how the neurons of human and animals encode stimuli, the evaluation of functional changes in neural networks after stroke and spinal cord injuries, and improvements in therapeutic applications using neural prostheses Neurorobotics and neural rehabilitation engineering--the recent developments in the areas of biorobotic system, biosonar head, limb kinematics, and robot-assisted activity to improve the treatment of elderly subjects at the hospital and home, as well as the interactions of the neuron chip, neural information processing, perception and neural dynamics, learning memory and behavior, biological neural networks, and neural control

Download or read book Disturbance Propagation in Dynamical Networks written by Subir Sarker and published by . This book was released on 2022 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This dissertation focuses on the propagation of disturbances in dynamical networks. Specifically, we use graph-theoretic analysis to characterize the disturbance responses in sparsely actuated and sensed dynamical networks. In addition, we define the stability of disturbance propagation in general dynamical networks and investigate it in inverter-based microgrids. In general, the dissertation addresses three distinct but interconnected research problems: 1) spatial analysis of network synchronization processes, 2) disturbance propagation stability in dynamical networks, and 3) controllability assessment of dynamical networks.First, we consider the input-output analysis of a discrete-time linear network synchronization model using graph-theoretical analysis. We demonstrate that some input-output metrics, including lp gains, frequency responses, frequency-band energy, and Markov parameters, show a spatial decrescence property in which they are nonincreasing along separating cutsets away from the disturbance source. Based on these spatial results, we characterize the signal-to-noise (SNR) ratio in diffusive networks and define disturbance propagation stability in general dynamical networks. The spatial analysis is then extended to a class of nonlinear dynamical systems, the modified DeGroot-Friedkin model for opinion formation in networks. The nonlinear self-confidence dynamics in this model also show spatial degradation under certain constraints. We develop a graph-preserving model reduction algorithm with nonlinear self-confidence dynamics using these spatial results. All these formal results are illustrated through suitable examples.Second, motivated by the spatial analysis of dynamical networks, we consider disturbance propagation stability notions for a synchronization process of homogeneous subsystems coupled linearly. Here, we present a general definition of disturbance propagation stability based on the degradation of response norms with separating cutsets away from the disturbance source. Based on this definition, the network synchronization model is propagation stable if it is asymptotically internally (Lyapunov) stable, and the maximum singular values of the subsystem model's local transfer matrices over all frequencies are upper bounded by unity. The analysis can be extended to an induced subnetwork and simplified for the single-input single-output (SISO) case. Then, we consider the disturbance propagation stability analysis for an inverter-based microgrid's angle dynamics using spatial degradation of H[infinity] or H2 gains. We show that the propagation stability of the microgrid depends on the inverter control parameters. We also characterize the disturbance in the frequency domain if the microgrid is propagation unstable and describe resilient design techniques considering the trade-off between coherency and disturbance propagation. Finally, the results are demonstrated through simulation.Third, the controllability of an inverter-based microgrid is analyzed using graph-theoretic analysis. Specifically, we consider shaping the small-signal dynamics of a droop-controlled microgrid using an additional input. This problem corresponds to the structural controllability assessment of the microgrid. We demonstrate that the microgrid model is structurally controllable for inputs at the digraph's zero-forcing sets (a graph-theoretic property). The graph-theoretic result is verified by computing control input energies at the zero-forcing sets in two test systems.

Download or read book Nonlinear Control of Dynamic Networks written by Tengfei Liu and published by CRC Press. This book was released on 2018-09-03 with total page 345 pages. Available in PDF, EPUB and Kindle. Book excerpt: Significant progress has been made on nonlinear control systems in the past two decades. However, many of the existing nonlinear control methods cannot be readily used to cope with communication and networking issues without nontrivial modifications. For example, small quantization errors may cause the performance of a "well-designed" nonlinear control system to deteriorate. Motivated by the need for new tools to solve complex problems resulting from smart power grids, biological processes, distributed computing networks, transportation networks, robotic systems, and other cutting-edge control applications, Nonlinear Control of Dynamic Networks tackles newly arising theoretical and real-world challenges for stability analysis and control design, including nonlinearity, dimensionality, uncertainty, and information constraints as well as behaviors stemming from quantization, data-sampling, and impulses. Delivering a systematic review of the nonlinear small-gain theorems, the text: Supplies novel cyclic-small-gain theorems for large-scale nonlinear dynamic networks Offers a cyclic-small-gain framework for nonlinear control with static or dynamic quantization Contains a combination of cyclic-small-gain and set-valued map designs for robust control of nonlinear uncertain systems subject to sensor noise Presents a cyclic-small-gain result in directed graphs and distributed control of nonlinear multi-agent systems with fixed or dynamically changing topology Based on the authors’ recent research, Nonlinear Control of Dynamic Networks provides a unified framework for robust, quantized, and distributed control under information constraints. Suggesting avenues for further exploration, the book encourages readers to take into consideration more communication and networking issues in control designs to better handle the arising challenges.

Download or read book Neural Network Control Of Robot Manipulators And Non Linear Systems written by F W Lewis and published by CRC Press. This book was released on 2020-08-14 with total page 468 pages. Available in PDF, EPUB and Kindle. Book excerpt: There has been great interest in "universal controllers" that mimic the functions of human processes to learn about the systems they are controlling on-line so that performance improves automatically. Neural network controllers are derived for robot manipulators in a variety of applications including position control, force control, link flexibility stabilization and the management of high-frequency joint and motor dynamics. The first chapter provides a background on neural networks and the second on dynamical systems and control. Chapter three introduces the robot control problem and standard techniques such as torque, adaptive and robust control. Subsequent chapters give design techniques and Stability Proofs For NN Controllers For Robot Arms, Practical Robotic systems with high frequency vibratory modes, force control and a general class of non-linear systems. The last chapters are devoted to discrete- time NN controllers. Throughout the text, worked examples are provided.

Download or read book The Stability of Input output Dynamical Systems written by Christopher John Harris and published by . This book was released on 1983 with total page 290 pages. Available in PDF, EPUB and Kindle. Book excerpt: The stability of input-output dynamical systems.