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Stability In Autonomous Systems
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Book Synopsis Finite-Time Stability: An Input-Output Approach by : Francesco Amato
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.
Book Synopsis Stability in Autonomous Systems of Differential Equations by : Lynn D. Maruska
Download or read book Stability in Autonomous Systems of Differential Equations written by Lynn D. Maruska and published by . This book was released on 1966 with total page 46 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Stability of Nonautonomous Differential Equations by : Luis Barreira
Download or read book Stability of Nonautonomous Differential Equations written by Luis Barreira and published by Springer. This book was released on 2007-09-26 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume covers the stability of nonautonomous differential equations in Banach spaces in the presence of nonuniform hyperbolicity. Topics under discussion include the Lyapunov stability of solutions, the existence and smoothness of invariant manifolds, and the construction and regularity of topological conjugacies. The exposition is directed to researchers as well as graduate students interested in differential equations and dynamical systems, particularly in stability theory.
Book Synopsis Stability of Linear Autonomous Systems Under Regular Switching Sequences by :
Download or read book Stability of Linear Autonomous Systems Under Regular Switching Sequences written by and published by . This book was released on 2014 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis A Treatise on Stability of Autonomous and Non-autonomous Systems by : Ratnadip Adhikari
Download or read book A Treatise on Stability of Autonomous and Non-autonomous Systems written by Ratnadip Adhikari and published by LAP Lambert Academic Publishing. This book was released on 2013 with total page 84 pages. Available in PDF, EPUB and Kindle. Book excerpt: By a stable dynamical system, we broadly mean the one whose overall behavior does not substantially change when its initial conditions or inputs undergo small disturbances. Stability is the fundamental requirement of any practically useful system. The behavior of an unstable system cannot be controlled and hence such a system is simply useless for practical purpose. The aim of this book is to present a concise study of the stability theories of autonomous (time-invariant) and non-autonomous (time-varying) systems. Various related notions and terminologies are meticulously explained. A major focus of the book is on the celebrated Liapunov's direct method which is so far the best mathematical technique for determining the stability nature of a dynamical system. The book introduces and lucidly discusses about the theory of stability of non-autonomous systems which is a complicated subject, having various pitfalls and peculiarities. All concepts in the book are accompanied with illustrative mathematical examples, selected from standard books and journals.
Book Synopsis Stability Theory for Autonomous Systems by : Halijah Osman
Download or read book Stability Theory for Autonomous Systems written by Halijah Osman and published by . This book was released on 1987 with total page 78 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Nonlinear Autonomous Oscillations: Analytical Theory by : Urabe
Download or read book Nonlinear Autonomous Oscillations: Analytical Theory written by Urabe and published by Academic Press. This book was released on 1967-01-01 with total page 343 pages. Available in PDF, EPUB and Kindle. Book excerpt: Nonlinear Autonomous Oscillations presents a self-contained and readable account for mathematicians, physicists, and engineers. This monograph is mainly concerned with the analytical theory of nonlinear autonomous oscillations, with the approach based mostly on the author's work. After some introductory material, in Chapter 5 a moving orthogonal coordinate system along a closed orbit is introduced. In the next four chapters, stability theory and perturbation theory are systematically discussed for general autonomous systems by means of a moving coordinate system. In Chapter 10, the two-dimensional autonomous system is discussed in detail on the basis of results obtained in the preceding chapters. In Chapter 11, a numerical method for determining a periodic solution of the general nonlinear autonomous system is described. To illustrate this, the periodic solutions of the autonomous van der Pol equation for various values of thedamping coefficient are computed. Chapter 12, which is based on the work of the author and Sibuya, discusses the center of higher dimension. Chapter 13 discusses a particular inverse problem connected with the period of periodicsolutions of one interesting equation. There are, of course, many other topics of importance in the theory of nonlinear autonomous oscillations. These are, however, omitted in the present monograph because they are mainly topological rather than analytical and in order to keep the book from growing inordinately long.
Book Synopsis Stability in Autonomous Systems by : José Mildred Castro
Download or read book Stability in Autonomous Systems written by José Mildred Castro and published by . This book was released on 1970 with total page 116 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Stability and Convergence of Mechanical Systems with Unilateral Constraints by : Remco I. Leine
Download or read book Stability and Convergence of Mechanical Systems with Unilateral Constraints written by Remco I. Leine and published by Springer Science & Business Media. This book was released on 2007-12-29 with total page 241 pages. Available in PDF, EPUB and Kindle. Book excerpt: While the stability theory for systems with bilateral constraints is a well-established field, this monograph represents a systematic study of mechanical systems with unilateral constraints, such as unilateral contact, impact and friction. Such unilateral constraints give rise to non-smooth dynamical models for which stability theory is developed in this work. The book will be of interest to those working in the field of non-smooth mechanics and dynamics.
Book Synopsis Stability of Autonomous Systems of Second Order in the Phase Plane by : Taki Kanda
Download or read book Stability of Autonomous Systems of Second Order in the Phase Plane written by Taki Kanda and published by . This book was released on 1982 with total page 150 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Stability Theory for Plane Autonomous Systems by : William Pallister Richardson
Download or read book Stability Theory for Plane Autonomous Systems written by William Pallister Richardson and published by . This book was released on 1968 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Stability Theory of Dynamical Systems by : N.P. Bhatia
Download or read book Stability Theory of Dynamical Systems written by N.P. Bhatia and published by Springer Science & Business Media. This book was released on 2002-01-10 with total page 252 pages. Available in PDF, EPUB and Kindle. Book excerpt: Reprint of classic reference work. Over 400 books have been published in the series Classics in Mathematics, many remain standard references for their subject. All books in this series are reissued in a new, inexpensive softcover edition to make them easily accessible to younger generations of students and researchers. "... The book has many good points: clear organization, historical notes and references at the end of every chapter, and an excellent bibliography. The text is well-written, at a level appropriate for the intended audience, and it represents a very good introduction to the basic theory of dynamical systems."
Book Synopsis Stability Analysis of Nonlinear Autonomous Systems by Numerical Methods by : K. C. Cowan
Download or read book Stability Analysis of Nonlinear Autonomous Systems by Numerical Methods written by K. C. Cowan and published by . This book was released on 1967 with total page 200 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Contributions to the Theory of Nonlinear Oscillations (AM-36), Volume III by : Solomon Lefschetz
Download or read book Contributions to the Theory of Nonlinear Oscillations (AM-36), Volume III written by Solomon Lefschetz and published by Princeton University Press. This book was released on 2016-03-02 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt: The description for this book, Contributions to the Theory of Nonlinear Oscillations (AM-36), Volume III, will be forthcoming.
Book Synopsis Advances in Intelligent Autonomous Systems by : S.G. Tzafestas
Download or read book Advances in Intelligent Autonomous Systems written by S.G. Tzafestas and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 544 pages. Available in PDF, EPUB and Kindle. Book excerpt: This collection of twenty-three timely contributions covers a well-selected repertory of topics within the autonomous systems field. The book discusses a range of design, construction, control, and operation problems along with a multiplicity of well-established and novel solutions.
Book Synopsis Stability Investigation of Certain Nonlinear Autonomous Systems by : Charles Joseph Monier
Download or read book Stability Investigation of Certain Nonlinear Autonomous Systems written by Charles Joseph Monier and published by . This book was released on 1966 with total page 123 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Eventual Stability of Non-autonomous Systems of Differential Equations by : Robert Jerome Rath
Download or read book Eventual Stability of Non-autonomous Systems of Differential Equations written by Robert Jerome Rath and published by . This book was released on 1962 with total page 120 pages. Available in PDF, EPUB and Kindle. Book excerpt:
