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Author : Nicolas Rouche
Publisher :
ISBN 13 : 9781468493634
Total Pages : 412 pages
Book Rating : 4.4/5 (936 download)
Download or read book Stability Theory by Liapunov's Direct Method written by Nicolas Rouche and published by . This book was released on 1977 with total page 412 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Mohan R. Jain
Publisher :
ISBN 13 :
Total Pages : 88 pages
Book Rating : 4.:/5 (111 download)
Download or read book Domain of Finite Stability by Lyapunov's Direct Method written by Mohan R. Jain and published by . This book was released on 1971 with total page 88 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Wolfgang Hahn
Publisher : Courier Dover Publications
ISBN 13 : 0486839869
Total Pages : 195 pages
Book Rating : 4.4/5 (868 download)
Download or read book Theory and Application of Liapunov's Direct Method written by Wolfgang Hahn and published by Courier Dover Publications. This book was released on 2019-04-17 with total page 195 pages. Available in PDF, EPUB and Kindle. Book excerpt: The groundbreaking work of Russian mathematician A. M. Liapunov (1857–1918) on the stability of dynamical systems was overlooked for decades because of political turmoil. During the Cold War, when it was discovered that his method was applicable to the stability of aerospace guidance systems, interest in his research was rekindled. It has remained high ever since. This monograph on both the theory and applications of Liapunov's direct method reflects the work of a period when the theory had been studied seriously for some time and reached a degree of completeness and sophistication. It remains of interest to applied mathematicians in many areas. Topics include applications of the stability theorems to concrete problems, the converse of the main theorems, Liapunov functions with certain properties of rate of change, the sensitivity of the stability behavior to perturbations, the critical cases, and generalizations of the concept of stability.
Author : Lawrence Howard Smith
Publisher :
ISBN 13 :
Total Pages : 66 pages
Book Rating : 4.:/5 (498 download)
Download or read book Lyapunov's Direct Method Extended to Stability of Invariant Sets written by Lawrence Howard Smith and published by . This book was released on 1972 with total page 66 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Nicolas Rouche
Publisher : Springer Science & Business Media
ISBN 13 : 1468493620
Total Pages : 408 pages
Book Rating : 4.4/5 (684 download)
Download or read book Stability Theory by Liapunov’s Direct Method written by Nicolas Rouche and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 408 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph is a collective work. The names appear ing on the front cover are those of the people who worked on every chapter. But the contributions of others were also very important: C. Risito for Chapters I, II and IV, K. Peiffer for III, IV, VI, IX R. J. Ballieu for I and IX, Dang Chau Phien for VI and IX, J. L. Corne for VII and VIII. The idea of writing this book originated in a seminar held at the University of Louvain during the academic year 1971-72. Two years later, a first draft was completed. However, it was unsatisfactory mainly because it was ex ce~sively abstract and lacked examples. It was then decided to write it again, taking advantage of -some remarks of the students to whom it had been partly addressed. The actual text is this second version. The subject matter is stability theory in the general setting of ordinary differential equations using what is known as Liapunov's direct or second method. We concentrate our efforts on this method, not because we underrate those which appear more powerful in some circumstances, but because it is important enough, along with its modern developments, to justify the writing of an up-to-date monograph. Also excellent books exist concerning the other methods, as for example R. Bellman [1953] and W. A. Coppel [1965].
Author : Xiaoxin Liao
Publisher : Elsevier
ISBN 13 : 0080550614
Total Pages : 719 pages
Book Rating : 4.0/5 (85 download)
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
Author : Joseph P. LaSalle
Publisher :
ISBN 13 :
Total Pages : 148 pages
Book Rating : 4.F/5 ( download)
Download or read book Stability by Liapunov's Direct Method written by Joseph P. LaSalle and published by . This book was released on 1961 with total page 148 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Raul Aparicio
Publisher :
ISBN 13 :
Total Pages : 56 pages
Book Rating : 4.:/5 (312 download)
Download or read book Stability of Nonlinear Differential Equations by Lyapunov's Direct Method written by Raul Aparicio and published by . This book was released on 1994 with total page 56 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Nicolas Rouche
Publisher :
ISBN 13 :
Total Pages : 348 pages
Book Rating : 4.:/5 (963 download)
Download or read book Stability Theory by Liapunov's Direct Method written by Nicolas Rouche and published by . This book was released on 1975 with total page 348 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Richard J. Wang
Publisher :
ISBN 13 :
Total Pages : 238 pages
Book Rating : 4.:/5 (244 download)
Download or read book Relations Between Lyapunov's Direct Method and Optimization written by Richard J. Wang and published by . This book was released on 1965 with total page 238 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : J. W. Locker
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (1 download)
Download or read book Application of Lyapunov's Direct Method to Problems of Stability of Non-linear Differential Equations, Including Control Systems written by J. W. Locker and published by . This book was released on 1966 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Felix L. Chernous'ko
Publisher : Springer Science & Business Media
ISBN 13 : 3540707840
Total Pages : 398 pages
Book Rating : 4.5/5 (47 download)
Download or read book Control of Nonlinear Dynamical Systems written by Felix L. Chernous'ko and published by Springer Science & Business Media. This book was released on 2008-09-26 with total page 398 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is devoted to new methods of control for complex dynamical systems and deals with nonlinear control systems having several degrees of freedom, subjected to unknown disturbances, and containing uncertain parameters. Various constraints are imposed on control inputs and state variables or their combinations. The book contains an introduction to the theory of optimal control and the theory of stability of motion, and also a description of some known methods based on these theories. Major attention is given to new methods of control developed by the authors over the last 15 years. Mechanical and electromechanical systems described by nonlinear Lagrange’s equations are considered. General methods are proposed for an effective construction of the required control, often in an explicit form. The book contains various techniques including the decomposition of nonlinear control systems with many degrees of freedom, piecewise linear feedback control based on Lyapunov’s functions, methods which elaborate and extend the approaches of the conventional control theory, optimal control, differential games, and the theory of stability. The distinctive feature of the methods developed in the book is that the c- trols obtained satisfy the imposed constraints and steer the dynamical system to a prescribed terminal state in ?nite time. Explicit upper estimates for the time of the process are given. In all cases, the control algorithms and the estimates obtained are strictly proven.
Author :
Publisher : Springer Science & Business Media
ISBN 13 : 0817644865
Total Pages : 516 pages
Book Rating : 4.8/5 (176 download)
Download or read book Stability of Dynamical Systems written by and published by Springer Science & Business Media. This book was released on 2008 with total page 516 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the analysis and synthesis of contemporary systems, engineers and scientists are frequently confronted with increasingly complex models that may simultaneously include components whose states evolve along continuous time and discrete instants; components whose descriptions may exhibit nonlinearities, time lags, transportation delays, hysteresis effects, and uncertainties in parameters; and components that cannot be described by various classical equations, as in the case of discrete-event systems, logic commands, and Petri nets. The qualitative analysis of such systems requires results for finite-dimensional and infinite-dimensional systems; continuous-time and discrete-time systems; continuous continuous-time and discontinuous continuous-time systems; and hybrid systems involving a mixture of continuous and discrete dynamics. Filling a gap in the literature, this textbook presents the first comprehensive stability analysis of all the major types of system models described above. Throughout the book, the applicability of the developed theory is demonstrated by means of many specific examples and applications to important classes of systems, including digital control systems, nonlinear regulator systems, pulse-width-modulated feedback control systems, artificial neural networks (with and without time delays), digital signal processing, a class of discrete-event systems (with applications to manufacturing and computer load balancing problems) and a multicore nuclear reactor model. The book covers the following four general topics: * Representation and modeling of dynamical systems of the types described above * Presentation of Lyapunov and Lagrange stability theory for dynamical systems defined on general metric spaces * Specialization of this stability theory to finite-dimensional dynamical systems * Specialization of this stability theory to infinite-dimensional dynamical systems Replete with exercises and requiring basic knowledge of linear algebra, analysis, and differential equations, the work may be used as a textbook for graduate courses in stability theory of dynamical systems. The book may also serve as a self-study reference for graduate students, researchers, and practitioners in applied mathematics, engineering, computer science, physics, chemistry, biology, and economics.
Author : Ferdinand Verhulst
Publisher : Springer Science & Business Media
ISBN 13 : 3642614531
Total Pages : 324 pages
Book Rating : 4.6/5 (426 download)
Download or read book Nonlinear Differential Equations and Dynamical Systems written by Ferdinand Verhulst and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 324 pages. Available in PDF, EPUB and Kindle. Book excerpt: For lecture courses that cover the classical theory of nonlinear differential equations associated with Poincare and Lyapunov and introduce the student to the ideas of bifurcation theory and chaos, this text is ideal. Its excellent pedagogical style typically consists of an insightful overview followed by theorems, illustrative examples, and exercises.
Author : Andrea Bacciotti
Publisher : Springer Science & Business Media
ISBN 13 : 9783540213321
Total Pages : 264 pages
Book Rating : 4.2/5 (133 download)
Download or read book Liapunov Functions and Stability in Control Theory written by Andrea Bacciotti and published by Springer Science & Business Media. This book was released on 2005-04-13 with total page 264 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a modern and self-contained treatment of the Liapunov method for stability analysis, in the framework of mathematical nonlinear control theory. A Particular focus is on the problem of the existence of Liapunov functions (converse Liapunov theorems) and their regularity, whose interest is especially motivated by applications to automatic control. Many recent results in this area have been collected and presented in a systematic way. Some of them are given in extended, unified versions and with new, simpler proofs. In the 2nd edition of this successful book several new sections were added and old sections have been improved, e.g., about the Zubovs method, Liapunov functions for discontinuous systems and cascaded systems. Many new examples, explanations and figures were added making this book accessible and well readable for engineers as well as mathematicians.
Author : William G. Vogt
Publisher :
ISBN 13 :
Total Pages : 254 pages
Book Rating : 4.:/5 (189 download)
Download or read book Relative stability via the direct method of Lyapunov written by William G. Vogt and published by . This book was released on 1962 with total page 254 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Stein Weissenberger
Publisher :
ISBN 13 :
Total Pages : 100 pages
Book Rating : 4.:/5 (31 download)
Download or read book Stability Analysis of Relay-control Systems Via the Direct Method of Lyapunov written by Stein Weissenberger and published by . This book was released on 1965 with total page 100 pages. Available in PDF, EPUB and Kindle. Book excerpt:
