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).
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).
Download or read book Analysis of Periodically Time Varying Systems written by John A. Richards and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 186 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.
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).
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:
Download or read book Finite Time Stability An Input Output Approach written by Francesco Amato and published by John Wiley & Sons. This book was released on 2018-10-08 with total page 184 pages. Available in PDF, EPUB and Kindle. Book excerpt: Systematically presents the input-output finite-time stability (IO-FTS) analysis of dynamical systems, covering issues of analysis, design and robustness The interest in finite-time control has continuously grown in the last fifteen years. This book systematically presents the input-output finite-time stability (IO-FTS) analysis of dynamical systems, with specific reference to linear time-varying systems and hybrid systems. It discusses analysis, design and robustness issues, and includes applications to real world engineering problems. While classical FTS has an important theoretical significance, IO-FTS is a more practical concept, which is more suitable for real engineering applications, the goal of the research on this topic in the coming years. Key features: Includes applications to real world engineering problems. Input-output finite-time stability (IO-FTS) is a practical concept, useful to study the behavior of a dynamical system within a finite interval of time. Computationally tractable conditions are provided that render the technique applicable to time-invariant as well as time varying and impulsive (i.e. switching) systems. The LMIs formulation allows mixing the IO-FTS approach with existing control techniques (e. g. H∞ control, optimal control, pole placement, etc.). This book is essential reading for university researchers as well as post-graduate engineers practicing in the field of robust process control in research centers and industries. Topics dealt with in the book could also be taught at the level of advanced control courses for graduate students in the department of electrical and computer engineering, mechanical engineering, aeronautics and astronautics, and applied mathematics.
Download or read book Mathematical Systems Theory I written by Diederich Hinrichsen and published by Springer Science & Business Media. This book was released on 2011-08-03 with total page 818 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents the mathematical foundations of systems theory in a self-contained, comprehensive, detailed and mathematically rigorous way. It is devoted to the analysis of dynamical systems and combines features of a detailed introductory textbook with that of a reference source. The book contains many examples and figures illustrating the text which help to bring out the intuitive ideas behind the mathematical constructions.
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:
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:
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.
Download or read book Linear Parameter Varying and Time Delay Systems written by Corentin Briat and published by Springer. This book was released on 2014-09-03 with total page 412 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides an introduction to the analysis and control of Linear Parameter-Varying Systems and Time-Delay Systems and their interactions. The purpose is to give the readers some fundamental theoretical background on these topics and to give more insights on the possible applications of these theories. This self-contained monograph is written in an accessible way for readers ranging from undergraduate/PhD students to engineers and researchers willing to know more about the fields of time-delay systems, parameter-varying systems, robust analysis, robust control, gain-scheduling techniques in the LPV fashion and LMI based approaches. The only prerequisites are basic knowledge in linear algebra, ordinary differential equations and (linear) dynamical systems. Most of the results are proved unless the proof is too complex or not necessary for a good understanding of the results. In the latter cases, suitable references are systematically provided. The first part pertains on the representation, analysis and control of LPV systems along with a reminder on robust analysis and control techniques. The second part is concerned with the representation and analysis of time-delay systems using various time-domain techniques. The third and last part is devoted to the representation, analysis, observation, filtering and control of LPV time-delay systems. The book also presents many important basic and advanced results on the manipulation of LMIs.
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:
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:
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:
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:
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:
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).
