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].
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:
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.
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:
Download or read book Introduction to Lyapunov s Direct Method as Applied to Control Engineering Direct Method as Applied to Control Engineering written by Robert Wayne Stubblefield and published by . This book was released on 1964 with total page 86 pages. Available in PDF, EPUB and Kindle. Book excerpt:
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:
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:
Download or read book Lyapunov s Direct Method in the Analysis of Singular Systems and Networks written by ́ Vladimir Bajic and published by . This book was released on 1992 with total page 156 pages. Available in PDF, EPUB and Kindle. Book excerpt:
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 287 pages. Available in PDF, EPUB and Kindle. Book excerpt: Bridging the gap between elementary courses and the research literature in this field, the book covers the basic concepts necessary to study differential equations. Stability theory is developed, starting with linearisation methods going back to Lyapunov and Poincaré, before moving on to the global direct method. The Poincaré-Lindstedt method is introduced to approximate periodic solutions, while at the same time proving existence by the implicit function theorem. The final part covers relaxation oscillations, bifurcation theory, centre manifolds, chaos in mappings and differential equations, and Hamiltonian systems. The subject material is presented from both the qualitative and the quantitative point of view, with many examples to illustrate the theory, enabling the reader to begin research after studying this book.
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:
Download or read book Adaptive Control Using Lyapunov s Direct Method written by Kumpati S. Narendra and published by . This book was released on 1971 with total page 29 pages. Available in PDF, EPUB and Kindle. Book excerpt: The main aim of the report is to make transparent most of the interesting ideas involved in the design of adaptive systems using the direct method of Lyapunov, by considering primarily systems described by first-order differential equations. A study is made of three adaptive designs for such systems. (Author).
Download or read book An Extension of the Direct Method of Lyapunov written by Hemmige Venkata Rangachar and published by . This book was released on 1967 with total page 214 pages. Available in PDF, EPUB and Kindle. Book excerpt:
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:
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
Download or read book Lyapunov s Direct Method in the Analysis of Singular Systems and Networks written by V. B. Bajic and published by . This book was released on 1992 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Application of the Direct Method of Lyapunov to the Analysis of Control System Performance written by Howell Jack Tipton and published by . This book was released on 1963 with total page 168 pages. Available in PDF, EPUB and Kindle. Book excerpt:
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:
