Theory and Application of Liapunov's Direct Method

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Publisher : Courier Dover Publications
ISBN 13 : 0486839869
Total Pages : 195 pages
Book Rating : 4.4/5 (868 download)

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Book Synopsis Theory and Application of Liapunov's Direct Method by : Wolfgang Hahn

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.

Stability by Liapunov's Direct Method

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Publisher :
ISBN 13 :
Total Pages : 148 pages
Book Rating : 4.F/5 ( download)

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Book Synopsis Stability by Liapunov's Direct Method by : Joseph P. LaSalle

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:

Stability of Dynamical Systems

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Publisher : Elsevier
ISBN 13 : 0080550614
Total Pages : 719 pages
Book Rating : 4.0/5 (85 download)

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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

Stability by Liapunov's Direct Method with

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Publisher :
ISBN 13 :
Total Pages : 3 pages
Book Rating : 4.:/5 (472 download)

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Book Synopsis Stability by Liapunov's Direct Method with by : Joseph Pierre LA SALLE (and LEFSCHETZ (Solomon))

Download or read book Stability by Liapunov's Direct Method with written by Joseph Pierre LA SALLE (and LEFSCHETZ (Solomon)) and published by . This book was released on 1961 with total page 3 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Stability Theory by Liapunov’s Direct Method

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Publisher : Springer Science & Business Media
ISBN 13 : 1468493620
Total Pages : 408 pages
Book Rating : 4.4/5 (684 download)

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Book Synopsis Stability Theory by Liapunov’s Direct Method by : Nicolas Rouche

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].

Stability by Liapunov's Direct Method

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Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (841 download)

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Book Synopsis Stability by Liapunov's Direct Method by : J. La Salle

Download or read book Stability by Liapunov's Direct Method written by J. La Salle and published by . This book was released on 1961 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Stability by Liapunov's Direct Method with Applications by Joseph L Salle and Solomon Lefschetz

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Publisher : Elsevier
ISBN 13 : 0080955126
Total Pages : 142 pages
Book Rating : 4.0/5 (89 download)

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Book Synopsis Stability by Liapunov's Direct Method with Applications by Joseph L Salle and Solomon Lefschetz by :

Download or read book Stability by Liapunov's Direct Method with Applications by Joseph L Salle and Solomon Lefschetz written by and published by Elsevier. This book was released on 2012-01-25 with total page 142 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book, we study theoretical and practical aspects of computing methods for mathematical modelling of nonlinear systems. A number of computing techniques are considered, such as methods of operator approximation with any given accuracy; operator interpolation techniques including a non-Lagrange interpolation; methods of system representation subject to constraints associated with concepts of causality, memory and stationarity; methods of system representation with an accuracy that is the best within a given class of models; methods of covariance matrix estimation; methods for low-rank matrix approximations; hybrid methods based on a combination of iterative procedures and best operator approximation; and methods for information compression and filtering under condition that a filter model should satisfy restrictions associated with causality and different types of memory. As a result, the book represents a blend of new methods in general computational analysis, and specific, but also generic, techniques for study of systems theory ant its particular branches, such as optimal filtering and information compression. Best operator approximation, Non-Lagrange interpolation, Generic Karhunen-Loeve transform Generalised low-rank matrix approximation Optimal data compression Optimal nonlinear filtering

Application of Lyapunov's Direct Method to Problems of Stability of Non-linear Differential Equations, Including Control Systems

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ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (1 download)

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Book Synopsis Application of Lyapunov's Direct Method to Problems of Stability of Non-linear Differential Equations, Including Control Systems by : J. W. Locker

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:

Stability by Liapunov's Direct Method

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Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.:/5 (12 download)

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Book Synopsis Stability by Liapunov's Direct Method by : Joseph P. LaSalle

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 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Stability by Liapunov's Direct Method

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Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.:/5 (472 download)

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Book Synopsis Stability by Liapunov's Direct Method by : Joseph La Salle

Download or read book Stability by Liapunov's Direct Method written by Joseph La Salle and published by . This book was released on 1961 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Stability by Liapunov's Direct Method with Applications

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Publisher :
ISBN 13 :
Total Pages : 134 pages
Book Rating : 4.:/5 (5 download)

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Book Synopsis Stability by Liapunov's Direct Method with Applications by : Joseph La Salle

Download or read book Stability by Liapunov's Direct Method with Applications written by Joseph La Salle and published by . This book was released on 1961 with total page 134 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Power System Stability

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Publisher : North-Holland
ISBN 13 :
Total Pages : 276 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Power System Stability by : M. A. Pai

Download or read book Power System Stability written by M. A. Pai and published by North-Holland. This book was released on 1981 with total page 276 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Stability by Liapunov's Direct Method with Application

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Publisher :
ISBN 13 :
Total Pages : 134 pages
Book Rating : 4.:/5 (921 download)

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Book Synopsis Stability by Liapunov's Direct Method with Application by :

Download or read book Stability by Liapunov's Direct Method with Application written by and published by . This book was released on 1961 with total page 134 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Stability Theory by Liapunov's Direct Method

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Publisher :
ISBN 13 :
Total Pages : 348 pages
Book Rating : 4.:/5 (963 download)

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Book Synopsis Stability Theory by Liapunov's Direct Method by : Nicolas Rouche

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:

Domain of Finite Stability by Lyapunov's Direct Method

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Publisher :
ISBN 13 :
Total Pages : 88 pages
Book Rating : 4.:/5 (111 download)

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Book Synopsis Domain of Finite Stability by Lyapunov's Direct Method by : Mohan R. Jain

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:

Lyapunov's Direct Method Extended to Stability of Invariant Sets

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Publisher :
ISBN 13 :
Total Pages : 66 pages
Book Rating : 4.:/5 (498 download)

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Book Synopsis Lyapunov's Direct Method Extended to Stability of Invariant Sets by : Lawrence Howard Smith

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:

The Control Handbook

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Publisher : CRC Press
ISBN 13 : 9780849385704
Total Pages : 1580 pages
Book Rating : 4.3/5 (857 download)

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Book Synopsis The Control Handbook by : William S. Levine

Download or read book The Control Handbook written by William S. Levine and published by CRC Press. This book was released on 1996-02-23 with total page 1580 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the biggest, most comprehensive, and most prestigious compilation of articles on control systems imaginable. Every aspect of control is expertly covered, from the mathematical foundations to applications in robot and manipulator control. Never before has such a massive amount of authoritative, detailed, accurate, and well-organized information been available in a single volume. Absolutely everyone working in any aspect of systems and controls must have this book!