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Stability And Instability Of Time Varying Linear Systems
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Book Synopsis Short-time Stability in Linear Time-varying Systems by : Peter Dorato
Download or read book Short-time Stability in Linear Time-varying Systems written by Peter Dorato and published by . This book was released on 1961 with total page 156 pages. Available in PDF, EPUB and Kindle. Book excerpt: The concept of short-time stability finds application in missile and satellite systems where operating times are often of finite duration. Short-time stability assures, in a finite time interval, that all inputs bounded by a prescribed constant Greek epsilon result in outputs bounded by a second prescribed constant. The study of short-time stability is divided into two categories: undriven systems and driven systems. Undriven systems are represented by a set of differential equations. Sufficient conditions for short-time stability are given in terms of the coefficients. Driven systems are represented by their impulse response. A necessary and sufficient condition for short-time stability in driven systems is given directly in terms of impulse response. Sufficient conditions for short-time stability in feedback systems, in terms of the open loop impulse response are also included. In addition the concept of shorttime C-equivalence, essentially a structural stability concept, is introduced. Necessary and sufficient conditions for two systems to be short-time C-equivalent are presented. (Author).
Book Synopsis Stability and Instability of Time Varying Linear Systems by : C. T. Leondes
Download or read book Stability and Instability of Time Varying Linear Systems written by C. T. Leondes and published by . This book was released on 1970 with total page 34 pages. Available in PDF, EPUB and Kindle. Book excerpt: Linear systems with time varying coefficients are examined and a canonical form of the governing differential equation is proposed which possesses certain advantageous properties: Stability or instability may be concluded by inspection in some cases; Conservative estimates of the stability or instability of second and third order systems may be obtained in many practical cases. (Author).
Book Synopsis Analysis of Periodically Time-Varying Systems by : John A. Richards
Download or read book Analysis of Periodically Time-Varying Systems written by John A. Richards and published by Springer. This book was released on 2011-12-08 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Many of the practical techniques developed for treating systems described by periodic differential equations have arisen in different fields of application; con sequently some procedures have not always been known to workers in areas that might benefit substantially from them. Furthermore, recent analytical methods are computationally based so that it now seems an opportune time for an applications-oriented book to be made available that, in a sense, bridges the fields in which equations with periodic coefficients arise and which draws together analytical methods that are implemented readily. This book seeks to ftll that role, from a user's and not a theoretician's view. The complexities of periodic systems often demand a computational approach. Matrix treatments therefore are emphasized here although algebraic methods have been included where they are useful in their own right or where they establish properties that can be exploited by the matrix approach. The matrix development given calls upon the nomenclature and treatment of H. D'Angelo, Linear Time Varying Systems: Analysis and Synthesis (Boston: Allyn and Bacon 1970) which deals with time-varying systems in general. It is recommended for its modernity and comprehensive approach to systems analysis by matrix methods. Since the present work is applications-oriented no attempt has been made to be complete theoretically by way of presenting all proofs, existence theorems and so on. These can be found in D'Angelo and classic and well-developed treatises such as McLachlan, N. W. : Theory and application of Mathieu functions.
Book Synopsis Stability of Time-Variant Discrete-Time Systems by : Günter Ludyk
Download or read book Stability of Time-Variant Discrete-Time Systems written by Günter Ludyk and published by Springer-Verlag. This book was released on 2013-11-21 with total page 157 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Linear Time Varying Systems and Sampled-data Systems by : Akira Ichikawa
Download or read book Linear Time Varying Systems and Sampled-data Systems written by Akira Ichikawa and published by Springer Science & Business Media. This book was released on 2001-02-26 with total page 382 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph considers linear optimal regulators, differential games and develops the theory for time-varying systems and jump systems.
Book Synopsis Stability and Instability, Exact and Approximate Solutions of Linear Differential Equations with Time Varying Coefficients by : Alfonso Fred Ratcliffe
Download or read book Stability and Instability, Exact and Approximate Solutions of Linear Differential Equations with Time Varying Coefficients written by Alfonso Fred Ratcliffe and published by . This book was released on 1970 with total page 88 pages. Available in PDF, EPUB and Kindle. Book excerpt: The familiar soluble linear differential equations and the properties of linear systems are reviewed. The importance of linear differential equations and the origins of some such problems are discussed. The exact solutions of a class of second order differential equations and a more general class of nth order equations - those for which the fundamental solution matrix is composed of orthogonal vectors - are derived. A canonical form and the transformation, which leads to it, are derived and from this canonical form conclusions are drawn with respect to stability or instability using a modification of Liapounov stability theory. The canonical form dx/dt = (lambda + N)x where lambda is a diagonal matrix and N is an nxn skew symmetric matrix, is subsequently used to obtain approximate solutions to both homogeneous and nonhomogeneous linear differential equations. While the methods of this dissertation may theoretically be applied to an nth order linear system, in practice they are limited to second and third order systems unless machines are used. (Author).
Book Synopsis Robustness of stability of time-varying linear systems by : Diederich Hinrichsen
Download or read book Robustness of stability of time-varying linear systems written by Diederich Hinrichsen and published by . This book was released on 1987 with total page 57 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Stability Techniques for Continuous Linear Systems by : Allan M. Krall
Download or read book Stability Techniques for Continuous Linear Systems written by Allan M. Krall and published by CRC Press. This book was released on 1967 with total page 180 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Characterization of Time-varying Linear Systems by : Allen Gersho
Download or read book Characterization of Time-varying Linear Systems written by Allen Gersho and published by . This book was released on 1963 with total page 378 pages. Available in PDF, EPUB and Kindle. Book excerpt: It is shown that a versatile description of time-varying linear systems is achieved by the use of a family of eight system functions that includes the G and H transfer functions. This approach is extended to multidimensional systems and to ''vector-time'' systems operating on signals that are specified by a function of several variables. The class of time-varying linear systems that is specified implicitly by a set of nth order linear differential equations in r variables is considered. The explicit form of the impulse response of the system is derived in order to bridge the gap between the differential equation and the system-function specifications of a time-varying linear system. The same basic approach for characterizing deterministic systems leads to procedures for the characterization of randomly varying systems subjected to random inputs. The general case where the system and input are nonstationary is considered for both unidimensional and multidimensional systems. (Author).
Book Synopsis Stability and Control of Singular Time Varying Systems by : Chi-Jo Wang
Download or read book Stability and Control of Singular Time Varying Systems written by Chi-Jo Wang and published by . This book was released on 1994 with total page 256 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Stability of Linear Periodically Time Varying Systems by : Belghasem Abdulgalil Dawaghi
Download or read book Stability of Linear Periodically Time Varying Systems written by Belghasem Abdulgalil Dawaghi and published by . This book was released on 1974 with total page 188 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Linear Time-varying Systems by : Kostas S. Tsakalis
Download or read book Linear Time-varying Systems written by Kostas S. Tsakalis and published by . This book was released on 1993 with total page 302 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Stability Analysis of Time-varying Linear Systems by : Rajendra K. Ramanathaiah
Download or read book Stability Analysis of Time-varying Linear Systems written by Rajendra K. Ramanathaiah and published by . This book was released on 1993 with total page 120 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Stability of Linear Time Varying Systems by : Braham Barkat
Download or read book Stability of Linear Time Varying Systems written by Braham Barkat and published by . This book was released on 1988 with total page 118 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Stability of Dynamical Systems by : Xiaoxin Liao
Download or read book Stability of Dynamical Systems written by Xiaoxin Liao and published by Elsevier. This book was released on 2007-08-01 with total page 719 pages. Available in PDF, EPUB and Kindle. Book excerpt: The main purpose of developing stability theory is to examine dynamic responses of a system to disturbances as the time approaches infinity. It has been and still is the object of intense investigations due to its intrinsic interest and its relevance to all practical systems in engineering, finance, natural science and social science. This monograph provides some state-of-the-art expositions of major advances in fundamental stability theories and methods for dynamic systems of ODE and DDE types and in limit cycle, normal form and Hopf bifurcation control of nonlinear dynamic systems. Presents comprehensive theory and methodology of stability analysis Can be used as textbook for graduate students in applied mathematics, mechanics, control theory, theoretical physics, mathematical biology, information theory, scientific computation Serves as a comprehensive handbook of stability theory for practicing aerospace, control, mechanical, structural, naval and civil engineers
Book Synopsis On the Stability of Linear Systems with a Single Time-varying Gain by : Manuchehr Malek-Zavarei
Download or read book On the Stability of Linear Systems with a Single Time-varying Gain written by Manuchehr Malek-Zavarei and published by . This book was released on with total page 48 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Stability and Stabilization by : William J. Terrell
Download or read book Stability and Stabilization written by William J. Terrell and published by Princeton University Press. This book was released on 2009-02-15 with total page 484 pages. Available in PDF, EPUB and Kindle. Book excerpt: Stability and Stabilization is the first intermediate-level textbook that covers stability and stabilization of equilibria for both linear and nonlinear time-invariant systems of ordinary differential equations. Designed for advanced undergraduates and beginning graduate students in the sciences, engineering, and mathematics, the book takes a unique modern approach that bridges the gap between linear and nonlinear systems. Presenting stability and stabilization of equilibria as a core problem of mathematical control theory, the book emphasizes the subject's mathematical coherence and unity, and it introduces and develops many of the core concepts of systems and control theory. There are five chapters on linear systems and nine chapters on nonlinear systems; an introductory chapter; a mathematical background chapter; a short final chapter on further reading; and appendixes on basic analysis, ordinary differential equations, manifolds and the Frobenius theorem, and comparison functions and their use in differential equations. The introduction to linear system theory presents the full framework of basic state-space theory, providing just enough detail to prepare students for the material on nonlinear systems. Focuses on stability and feedback stabilization Bridges the gap between linear and nonlinear systems for advanced undergraduates and beginning graduate students Balances coverage of linear and nonlinear systems Covers cascade systems Includes many examples and exercises
