Download or read book Application of Multiparameter Sensitivity in Linear Systems written by Matthew Joseph Remec and published by . This book was released on 1963 with total page 190 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Multiparameter Sensitivity Analysis for Linear Systems written by Ranendra Narayan Biswas and published by . This book was released on 1965 with total page 50 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Sensitivity Analysis in Linear Systems written by Assem Deif and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 235 pages. Available in PDF, EPUB and Kindle. Book excerpt: A text surveying perturbation techniques and sensitivity analysis of linear systems is an ambitious undertaking, considering the lack of basic comprehensive texts on the subject. A wide-ranging and global coverage of the topic is as yet missing, despite the existence of numerous monographs dealing with specific topics but generally of use to only a narrow category of people. In fact, most works approach this subject from the numerical analysis point of view. Indeed, researchers in this field have been most concerned with this topic, although engineers and scholars in all fields may find it equally interesting. One can state, without great exaggeration, that a great deal of engineering work is devoted to testing systems' sensitivity to changes in design parameters. As a rule, high-sensitivity elements are those which should be designed with utmost care. On the other hand, as the mathematical modelling serving for the design process is usually idealized and often inaccurately formulated, some unforeseen alterations may cause the system to behave in a slightly different manner. Sensitivity analysis can help the engineer innovate ways to minimize such system discrepancy, since it starts from the assumption of such a discrepancy between the ideal and the actual system.
Download or read book Report written by Alexander P. Seyranian and published by . This book was released on 1998 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book A Multi parameter Sensitivity Measure for Linear Systems written by R. N. Biswas and published by . This book was released on 1967 with total page 32 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Multi parameter Linear Periodic Systems written by Alexander P. Seyranian and published by . This book was released on 1998 with total page 25 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Multiparameter Stability Theory with Mechanical Applications written by Alexander P. Seyranian and published by World Scientific. This book was released on 2003 with total page 421 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book deals with fundamental problems, concepts, and methods of multiparameter stability theory with applications in mechanics. It presents recent achievements and knowledge of bifurcation theory, sensitivity analysis of stability characteristics, general aspects of nonconservative stability problems, analysis of singularities of boundaries for the stability domains, stability analysis of multiparameter linear periodic systems, and optimization of structures under stability constraints. Systems with finite degrees of freedom and with continuous models are both considered. The book combines mathematical foundation with interesting classical and modern mechanical problems.A number of mechanical problems illustrating how bifurcations and singularities change the behavior of systems and lead to new physical phenomena are discussed. Among these problems, the authors consider systems of rotating bodies, tubes conveying fluid, elastic columns under the action of periodic and follower forces, optimization problems for conservative systems, etc. The methods presented are constructive and easy to implement in computer programs.This book is addressed to graduate students, academics, researchers, and practitioners in aerospace, naval, civil, and mechanical engineering. No special background is needed; just a basic knowledge of mathematics and mechanics.
Download or read book Sensitivity Analysis of Self excited Oscillations in Non linear Systems an Application to Electronic Oscillators written by Ernest Charles Ball and published by . This book was released on 1966 with total page 73 pages. Available in PDF, EPUB and Kindle. Book excerpt: Electronic Oscillators are studied as an application of the general method in the parameter plane of analyzing non-linear systems with self-excited oscillations. Computational methods are developed which avoid the lengthy calculations required by the general method for the second and third order systems which arise. The single parameter and multiparameter sensitivity of the frequency characteristics are determined and it is demonstrated that these sensitivity measures may be used to determine the best configurations of networks to be used to minimize sensitivity to specific parameters. The method employed suggests application to the frequency characteristics of passive and active filters.
Download or read book Theory of Sensitivity in Dynamic Systems written by Mansour Eslami and published by Springer Science & Business Media. This book was released on 2013-11-09 with total page 618 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a comprehensive treatment of the development and present state of the theory of sensitivity of dynamic systems. It is intended as a textbook and reference for researchers and scientists in electrical engineering, control and information theory as well as for mathematicians. The extensive and structured bibliography provides an overview of the literature in the field and points out directions for further research.
Download or read book Sensitivity Analysis of Self excited Oscillations in Non linear Systems an Application to Electronic Oscillators written by and published by . This book was released on 1966 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Electronic Oscillators are studied as an application of the general method in the parameter plane of analyzing non-linear systems with self-excited oscillations. Computational methods are developed which avoid the lengthy calculations required by the general method for the second and third order systems which arise. The single parameter and multiparameter sensitivity of the frequency characteristics are determined and it is demonstrated that these sensitivity measures may be used to determine the best configurations of networks to be used to minimize sensitivity to specific parameters. The method employed suggests application to the frequency characteristics of passive and active filters.
Download or read book Nonlinear Programming and Multiparameter Sensitivity in Linear Time invariant Networks written by Gerry Leon Kelly and published by . This book was released on 1966 with total page 146 pages. Available in PDF, EPUB and Kindle. Book excerpt: A computational solution is obtained to the multiparameter sensitivity problem for linear time-invarient networks in which large element variations are permitted. The various definitions of multiparameter sensitivity are critically reviewed and it is concluded that a definition which was proposed by Hakimi and Cruz is currently the most general since the other definitions are valid only for small variations in the network element values. Their definition of multiparameter sensitivity is extended to a measure over a band of frequencies and to such cases as n-port networks where it is desirable to consider more than one transfer function. A method is presented for the selection of the temperature coefficients of active-RLC networks to reduce multiparameter sensitivity. A second-order approximation to the network function variation is studied by considering the first three terms of a Taylor series expansion. A Mikulski-Ur type of correlation is obtained between the third Taylor series term and the classical root sensitivities. Also the first three Taylor series terms are related to the k-trees which Hakimi and Green defined. Blostein's results relating the sum of classical Bode sensitivity functions to the first derivative with respect to complex frequency is extended to the second derivative and n-th derivative cases. (Author).
Download or read book Nonlinear Sensitivity Analysis of Multi Parameter Model Systems written by R. I. Cukier and published by . This book was released on 1974 with total page 118 pages. Available in PDF, EPUB and Kindle. Book excerpt: Large sets of coupled, nonlinear equations arise in a number of disciplines in connection with computer based models of physical, social and economic processes. Solutions for such large systems of equations must be effected by means of digital computers using appropriately designed codes. This paper addresses itself to the critically important problem of how sensitive the solutions are to variations of, or inherent uncertainties in, the parameters of the equation set. We review here, and also present further developments, of our statistical method of sensitivity analysis. The sensitivity analysis presented here is nonlinear and thus permits one to study the effects of large deviations from the nominal parameter values. In addition, since all parameters are varied simultaneously, one can explore regions of parameter space where several parameters deviate simultaneously from their nominal values. Developed her eis a theory of a method of sensitivity analysis, then detail the method of implementation and finally present several examples of its use to date.
Download or read book Multiparameter Sensitivity in Active Rc Integrated Circuits written by Robert W. Tarmy and published by . This book was released on 1966 with total page 72 pages. Available in PDF, EPUB and Kindle. Book excerpt: The report proposes a new definition for the multiparameter sensitivity function in linear systems. The sensitivity of various active RC synthesis design procedures which use Negative-Impedance Converters as the active elements are compared. The predictions based on the multiparameter sensitivity function are verified by calculations of the variation in the network response when the network elements vary in a given manner. (Author).
Download or read book The nth Order Comprehensive Adjoint Sensitivity Analysis Methodology Volume I written by Dan Gabriel Cacuci and published by Springer Nature. This book was released on 2022-07-19 with total page 373 pages. Available in PDF, EPUB and Kindle. Book excerpt: The computational models of physical systems comprise parameters, independent and dependent variables. Since the physical processes themselves are seldom known precisely and since most of the model parameters stem from experimental procedures which are also subject to imprecisions, the results predicted by these models are also imprecise, being affected by the uncertainties underlying the respective model. The functional derivatives (also called “sensitivities”) of results (also called “responses”) produced by mathematical/computational models are needed for many purposes, including: (i) understanding the model by ranking the importance of the various model parameters; (ii) performing “reduced-order modeling” by eliminating unimportant parameters and/or processes; (iii) quantifying the uncertainties induced in a model response due to model parameter uncertainties; (iv) performing “model validation,” by comparing computations to experiments to address the question “does the model represent reality?” (v) prioritizing improvements in the model; (vi) performing data assimilation and model calibration as part of forward “predictive modeling” to obtain best-estimate predicted results with reduced predicted uncertainties; (vii) performing inverse “predictive modeling”; (viii) designing and optimizing the system. This 3-Volume monograph describes a comprehensive adjoint sensitivity analysis methodology, developed by the author, which enables the efficient and exact computation of arbitrarily high-order sensitivities of model responses in large-scale systems comprising many model parameters. The qualifier “comprehensive” is employed to highlight that the model parameters considered within the framework of this methodology also include the system’s uncertain boundaries and internal interfaces in phase-space. The model’s responses can be either scalar-valued functionals of the model’s parameters and state variables (e.g., as customarily encountered in optimization problems) or general function-valued responses. Since linear operators admit bona-fide adjoint operators, responses of models that are linear in the state functions (i.e., dependent variables) can depend simultaneously on both the forward and the adjoint state functions. Hence, the sensitivity analysis of such responses warrants the treatment of linear systems in their own right, rather than treating them as particular cases of nonlinear systems. This is in contradistinction to responses for nonlinear systems, which can depend only on the forward state functions, since nonlinear operators do not admit bona-fide adjoint operators (only a linearized form of a nonlinear operator may admit an adjoint operator). Thus, Volume 1 of this book presents the mathematical framework of the nth-Order Comprehensive Adjoint Sensitivity Analysis Methodology for Response-Coupled Forward/Adjoint Linear Systems (abbreviated as “nth-CASAM-L”), which is conceived for the most efficient computation of exactly obtained mathematical expressions of arbitrarily-high-order (nth-order) sensitivities of a generic system response with respect to all of the parameters underlying the respective forward/adjoint systems. Volume 2 of this book presents the application of the nth-CASAM-L to perform a fourth-order sensitivity and uncertainty analysis of an OECD/NEA reactor physics benchmark which is representative of a large-scale model comprises many (21,976) uncertain parameters, thereby amply illustrating the unique potential of the nth-CASAM-L to enable the exact and efficient computation of chosen high-order response sensitivities to model parameters. Volume 3 of this book presents the “nth-Order Comprehensive Adjoint Sensitivity Analysis Methodology for Nonlinear Systems” (abbreviation: nth-CASAM-N) for the practical, efficient, and exact computation of arbitrarily-high order sensitivities of responses to model parameters for systems that are also nonlinear in their underlying state functions. Such computations are not feasible with any other methodology. The application of the nth-CASAM-L and the nth-CASAM-N overcomes the so-called “curse of dimensionality” in sensitivity and uncertainty analysis, thus revolutionizing all of the fields of activities which require accurate computation of response sensitivities. Since this monograph includes many illustrative, fully worked-out, paradigm problems, it can serve as a textbook or as supplementary reading for graduate courses in academic departments in the natural sciences and engineering.
Download or read book The nth Order Comprehensive Adjoint Sensitivity Analysis Methodology Volume II written by Dan Gabriel Cacuci and published by Springer Nature. This book was released on 2023-04-26 with total page 474 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text describes a comprehensive adjoint sensitivity analysis methodology (nth-CASAM), developed by the author, which enablesthe efficient and exact computation of arbitrarily high-order functional derivatives of model responses to model parameters in large-scale systems. The nth-CASAM framework is set in linearly increasing Hilbert spaces, each of state-function-dimensionality, as opposed to exponentially increasing parameter-dimensional spaces, thereby overcoming the so-called “curse of dimensionality” in sensitivity and uncertainty analysis. The nth-CASAM is applicable to any model; the larger the number of model parameters, the more efficient the nth-CASAM becomes for computing arbitrarily high-order response sensitivities. The book will be helpful to those working in the fields of sensitivity analysis, uncertainty quantification, model validation, optimization, data assimilation, model calibration, sensor fusion, reduced-order modelling, inverse problems and predictive modelling. This Volume Two, the second of three, presents the large-scale application of the nth-CASAM to perform a representative fourth-order sensitivity analysis of the Polyethylene-Reflected Plutonium benchmark described in the Nuclear Energy Agency (NEA) International Criticality Safety Benchmark Evaluation Project (ICSBEP) Handbook. This benchmark is modeled mathematically by the Boltzmann particle transport equation, involving 21,976 imprecisely-known parameters, the numerical solution of which requires representative large-scale computations. The sensitivity analysis presented in this volume is the most comprehensive ever performed in the field of reactor physics and the results presented in this book prove, perhaps counter-intuitively, that many of the 4th-order sensitivities are much larger than the corresponding 3rd-order ones, which are, in turn, much larger than the 2nd-order ones, all of which are much larger than the 1st-order sensitivities. Currently, the nth-CASAM is the only known methodology which enables such large-scale computations of exactly obtained expressions of arbitrarily-high-order response sensitivities.
Download or read book Optimal Expansion of a water Resources system written by D.T. O'Laoghaire and published by Elsevier. This book was released on 2012-12-02 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt: Optimal Expansion of a Water Resources System describes a methodology that can be used in water resources planning taking into account both water quantity and quality while still remaining computationally tractable. It is concerned with the optimal expansion of a realistic water resources system to meet an increasing demand for municipal and industrial use, irrigation, energy, and recreation over a planning horizon of Tmax years. This book comprises six chapters, with an introductory chapter that discusses such topics as development of water resources, the systems approach to solving water resources problems, and techniques for the optimization of a water resources system. The following chapters then discuss formulating the problem of the optimal expansion of an existing water resources system; a procedure for solving the optimal expansion problem; and application of the optimization algorithm to a water resources system. The remaining chapters discuss the sensitivity of planning decisions in river basin management; and how to incorporate water quality and pollution considerations into the model of the water resources system. This book will be of interest to practitioners in the fields of systems philosophy and water quantity studies.
Download or read book Application of Computational Intelligence to Biology written by Ravi Bhramaramba and published by Springer. This book was released on 2016-05-06 with total page 107 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a contribution of translational and allied research to the proceedings of the International Conference on Computational Intelligence and Soft Computing. It explains how various computational intelligence techniques can be applied to investigate various biological problems. It is a good read for Research Scholars, Engineers, Medical Doctors and Bioinformatics researchers.
