Download or read book On the Stability of Dissipative Gyroscopic Systems written by M. Yazici and published by . This book was released on 1976 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Dynamics of Quasi Stable Dissipative Systems written by Igor Chueshov and published by Springer. This book was released on 2015-09-29 with total page 405 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is devoted to background material and recently developed mathematical methods in the study of infinite-dimensional dissipative systems. The theory of such systems is motivated by the long-term goal to establish rigorous mathematical models for turbulent and chaotic phenomena. The aim here is to offer general methods and abstract results pertaining to fundamental dynamical systems properties related to dissipative long-time behavior. The book systematically presents, develops and uses the quasi-stability method while substantially extending it by including for consideration new classes of models and PDE systems arising in Continuum Mechanics. The book can be used as a textbook in dissipative dynamics at the graduate level. Igor Chueshov is a Professor of Mathematics at Karazin Kharkov National University in Kharkov, Ukraine.
Download or read book Dissipative Systems Analysis and Control written by Rogelio Lozano and published by Springer Science & Business Media. This book was released on 2013-03-14 with total page 383 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book deals with the analysis and feedback control of dissipative dynamical systems. It presents the background of dissipative systems theory. Linear as well as nonlinear systems are treated, and many examples are given throughout the chapters. Some infinite dimensional and non-smooth examples are also included. The emphasis is put on the application towards the design of stable feedback control laws. Then the theory is illustrated on physical examples; (Lagrangian and Hamiltonian systems are thoroughly studied, as well as adaptive control). It is shown how the dissipativity properties of a system can be used in the design of stable feedback controllers. Some experimental results are presented which corroborate the theoretical developments. This monograph is primarily for readers who wish to get aquainted with Dissipative Systems Theory, and its uses in Systems and Control and Robotics. It constitutes an advanced introduction to the topic, and is the first volume ever published which is dedicated entirely to this subject.
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 2011-11-14 with total page 389 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 physical, technological, environmental, and social phenomena, including aerospace, power, communications, and network systems, to name just a few. This book develops a general stability analysis and control design framework for nonlinear large-scale interconnected dynamical systems, and presents the most complete treatment on vector Lyapunov function methods, vector dissipativity theory, and decentralized control architectures. Large-scale dynamical systems are strongly interconnected and consist of interacting subsystems exchanging matter, energy, or information with the environment. The sheer size, or dimensionality, of these systems necessitates decentralized analysis and control system synthesis methods for their analysis and design. Written in a theorem-proof format with examples to illustrate new concepts, this book addresses continuous-time, discrete-time, and hybrid large-scale systems. It develops finite-time stability and finite-time decentralized stabilization, thermodynamic modeling, maximum entropy control, and energy-based decentralized control. This book will interest applied mathematicians, dynamical systems theorists, control theorists, and engineers, and anyone seeking a fundamental and comprehensive understanding of large-scale interconnected dynamical systems and control.
Download or read book Dynamics and Stability of Parametrically Excited Gyroscopic Systems written by Narayana L. Vedula and published by . This book was released on 2005 with total page 432 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Nonconservative Stability Problems of Modern Physics written by Oleg N. Kirillov and published by Walter de Gruyter. This book was released on 2013-06-26 with total page 448 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work gives a complete overview on the subject of nonconservative stability from the modern point of view. Relevant mathematical concepts are presented, as well as rigorous stability results and numerous classical and contemporary examples from mechanics and physics. It deals with both finite- and infinite-dimensional nonconservative systems and covers the fundamentals of the theory, including such topics as Lyapunov stability and linear stability analysis, Hamiltonian and gyroscopic systems, reversible and circulatory systems, influence of structure of forces on stability, and dissipation-induced instabilities, as well as concrete physical problems, including perturbative techniques for nonself-adjoint boundary eigenvalue problems, theory of the destabilization paradox due to small damping in continuous circulatory systems, Krein-space related perturbation theory for the MHD kinematic mean field α2-dynamo, analysis of Campbell diagrams and friction-induced flutter in gyroscopic continua, non-Hermitian perturbation of Hermitian matrices with applications to optics, and magnetorotational instability and the Velikhov-Chandrasekhar paradox. The book serves present and prospective specialists providing the current state of knowledge in the actively developing field of nonconservative stability theory. Its understanding is vital for many areas of technology, ranging from such traditional ones as rotor dynamics, aeroelasticity and structural mechanics to modern problems of hydro- and magnetohydrodynamics and celestial mechanics.
Download or read book The Stability of Nonlinear Dissipative Systems written by D. Hill and published by . This book was released on 1975 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Principles of Structural Stability written by H. Ziegler and published by Birkhäuser. This book was released on 2013-11-21 with total page 158 pages. Available in PDF, EPUB and Kindle. Book excerpt: FirstEdition DUE TO THE necessity to save weight and materialin the design ofmodern structures and machines, stability problems have become increasingly im portant. The classicalengineering approach to this type of problem has been characterized by the tacit assumption that structures are nongyroscopic conservative systems, that is, bythegeneraladoptionofthemethodsdeveloped for this particular case. During the last decades numerous stability problems of a more complicated nature have become important, and it has therefore become necessary to correlate the various types of problems with the ap proaches to be used in their solution. The principal object ofthis little bookisthis correlation between the systems to be investigated and the methods to be used for this purpose, In other words, our main concern is the choice of a correct approach. It is evident that this idea renders it necessary to distinguish between the various types of problems or systems. At the same time the similarities and the connections between apparently quite different problems will become obvious, and it will be evident that there islittle differencebetween, say, the buckling of a column, thecritical speed of a turbine shaft, and the stability of an airplane, a control mechanism, or an electric circuit.
Download or read book Stability of Gyroscopic Systems written by Ardshir Guran and published by World Scientific. This book was released on 1999 with total page 438 pages. Available in PDF, EPUB and Kindle. Book excerpt: The motion of mechanical systems undergoing rotation about a fixed axis has been the subject of extensive studies over a few centuries. These systems are generally subject to gyroscopic forces which are associated with coriolis accelerations or mass transport and render complex dynamics.The unifying theme among topics presented in this book is the gyroscopic nature of the system equations of motion. The book represents comprehensive and detailed reviews of the state of art in four diverse application areas: flow-induced oscillations in structures, oscillations in rotating systems or rotor dynamics, dynamics of axially moving material systems, and dynamics of gyroelastic systems. The book also includes a chapter on dynamics of repetitive structures. These systems feature spatial periodicity and are generally subject to considerable gyroscopic forces. ?Gyroelastic systems? and ?repetitive structures? are the topics with very recent origins and are still in their infancies compared to the other examples represented in this book. Thus, the contributions on gyroelastic systems and repetitive structures are limited to only modeling, localization and linear stability analysis results.This book covers many important aspects of recent developments in various types of gyroscopic systems. Thus, at last, a comprehensive book is made available to serve as a supplement and resource for any graduate level course on elastic gyroscopic systems, as well as for a course covering the stability of mechanical systems. Moreover, the inclusion of an up-to-date bibliography attached to each chapter will make this book an invaluable text for professional reference.
Download or read book Robust Stabilization of Uncertain Systems Based on Energy Dissipation Concepts written by Sandeep Gupta and published by . This book was released on 1996 with total page 100 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book A Dissipative Dynamical Systems Approach to the Stability Analysis of Time delay Systems written by Ajeet Kamath and published by . This book was released on 2003 with total page 78 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Vibrations and Stability of Multiple Parameter Systems written by K. Huseyin and published by Springer Science & Business Media. This book was released on 1978-06-30 with total page 238 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book On Multi dissipative Perturbations in Linear Systems written by Uffe Høgsbro Thygesen and published by . This book was released on 1997 with total page 25 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Stability Bifurcation and Control of Hamiltonian Systems written by and published by . This book was released on 1993 with total page 10 pages. Available in PDF, EPUB and Kindle. Book excerpt: Work is being done on dissipation-induced instabilities, gyroscopic stabilization and its destruction by a small damping for both finite dimensional and certain infinite dimensional systems (such as rotating rods, strings), nonabelian and abelian cases, Euler-Lagrange-Poincare equations, the Routhian having a form of a Lagrangian with a gyroscopic term, Euler-Lagrange equations, etc.
Download or read book Nonlinear Dynamic Stability of Nonconservative Dissipative Systems written by Anthony N. Kounadis and published by . This book was released on 2007 with total page 202 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Stability Of Gyroscopic Systems written by Ardeshir Guran and published by World Scientific. This book was released on 1999-04-01 with total page 438 pages. Available in PDF, EPUB and Kindle. Book excerpt: The motion of mechanical systems undergoing rotation about a fixed axis has been the subject of extensive studies over a few centuries. These systems are generally subject to gyroscopic forces which are associated with coriolis accelerations or mass transport and render complex dynamics.The unifying theme among topics presented in this book is the gyroscopic nature of the system equations of motion. The book represents comprehensive and detailed reviews of the state of art in four diverse application areas: flow-induced oscillations in structures, oscillations in rotating systems or rotor dynamics, dynamics of axially moving material systems, and dynamics of gyroelastic systems. The book also includes a chapter on dynamics of repetitive structures. These systems feature spatial periodicity and are generally subject to considerable gyroscopic forces. “Gyroelastic systems” and “repetitive structures” are the topics with very recent origins and are still in their infancies compared to the other examples represented in this book. Thus, the contributions on gyroelastic systems and repetitive structures are limited to only modeling, localization and linear stability analysis results.This book covers many important aspects of recent developments in various types of gyroscopic systems. Thus, at last, a comprehensive book is made available to serve as a supplement and resource for any graduate level course on elastic gyroscopic systems, as well as for a course covering the stability of mechanical systems. Moreover, the inclusion of an up-to-date bibliography attached to each chapter will make this book an invaluable text for professional reference.
Download or read book The Shock and Vibration Digest written by and published by . This book was released on 1976 with total page 602 pages. Available in PDF, EPUB and Kindle. Book excerpt:
