Methods Of Amlyapunov And Their Applicati
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Author |
: Vladimir Ivanovich Zubov |
Publisher |
: |
Total Pages |
: 256 |
Release |
: 1961 |
ISBN-10 |
: UVA:X001332811 |
ISBN-13 |
: |
Rating |
: 4/5 (11 Downloads) |
Synopsis Methods of A. M. Lyapunov and Their Application by : Vladimir Ivanovich Zubov
Author |
: Vladimir Ivanovich Zubov |
Publisher |
: |
Total Pages |
: 263 |
Release |
: 1964 |
ISBN-10 |
: OCLC:803112431 |
ISBN-13 |
: |
Rating |
: 4/5 (31 Downloads) |
Synopsis Methods of A.M. Lyapunov and Their Application by : Vladimir Ivanovich Zubov
Author |
: Vladimir Ivanovich Zubov |
Publisher |
: |
Total Pages |
: 263 |
Release |
: 1964 |
ISBN-10 |
: LCCN:lc64007118 |
ISBN-13 |
: |
Rating |
: 4/5 (18 Downloads) |
Synopsis Methods of A.M. Lyapunov and Their Application by : Vladimir Ivanovich Zubov
Author |
: Vladislav I Zhukovskiy |
Publisher |
: CRC Press |
Total Pages |
: 308 |
Release |
: 2003-01-16 |
ISBN-10 |
: 0415273412 |
ISBN-13 |
: 9780415273411 |
Rating |
: 4/5 (12 Downloads) |
Synopsis Lyapunov Functions in Differential Games by : Vladislav I Zhukovskiy
A major step in differential games is determining an explicit form of the strategies of players who follow a certain optimality principle. To do this, the associated modification of Bellman dynamic programming problems has to be solved; for some differential games this could be Lyapunov functions whose "arsenal" has been supplied by stability theory. This approach, which combines dynamic programming and the Lyapunov function method, leads to coefficient criteria, or ratios of the game math model parameters with which optimal strategies of the players not only exist but their analytical form can be specified. In this book coefficient criteria are derived for numerous new and relevant problems in the theory of linear-quadratic multi-player differential games. Those criteria apply when the players formulate their strategies independently (non co-operative games) and use non-Nash equilibria or when the game model recognizes noise, perturbation and other uncertainties of which only their ranges are known (differential games under uncertainty). This text is useful for researchers, engineers and students of applied mathematics, control theory and the engineering sciences.
Author |
: Vladimir Ivanovich Zubov |
Publisher |
: |
Total Pages |
: |
Release |
: |
ISBN-10 |
: OCLC:844376612 |
ISBN-13 |
: |
Rating |
: 4/5 (12 Downloads) |
Synopsis Methods of A.M. Lyapunov and their application, tr by : Vladimir Ivanovich Zubov
Author |
: Vladimir I. Zubov |
Publisher |
: |
Total Pages |
: 234 |
Release |
: 1961 |
ISBN-10 |
: OCLC:631713342 |
ISBN-13 |
: |
Rating |
: 4/5 (42 Downloads) |
Synopsis Methods of A. M. Lyapunov and their application by : Vladimir I. Zubov
Author |
: Nikolay Sidorov |
Publisher |
: Springer Science & Business Media |
Total Pages |
: 563 |
Release |
: 2013-04-17 |
ISBN-10 |
: 9789401721226 |
ISBN-13 |
: 940172122X |
Rating |
: 4/5 (26 Downloads) |
Synopsis Lyapunov-Schmidt Methods in Nonlinear Analysis and Applications by : Nikolay Sidorov
This book concentrates on the branching solutions of nonlinear operator equations and the theory of degenerate operator-differential equations especially applicable to algorithmic analysis and nonlinear PDE's in mechanics and mathematical physics. The authors expound the recent result on the generalized eigen-value problem, the perturbation method, Schmidt's pseudo-inversion for regularization of linear and nonlinear problems in the branching theory and group methods in bifurcation theory. The book covers regular iterative methods in a neighborhood of branch points and the theory of differential-operator equations with a non-invertible operator in the main expression is constructed. Various recent results on theorems of existence are given including asymptotic, approximate and group methods.
Author |
: Andrea Bacciotti |
Publisher |
: Springer Science & Business Media |
Total Pages |
: 264 |
Release |
: 2005-04-13 |
ISBN-10 |
: 3540213325 |
ISBN-13 |
: 9783540213321 |
Rating |
: 4/5 (25 Downloads) |
Synopsis Liapunov Functions and Stability in Control Theory by : Andrea Bacciotti
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 |
: Peter Giesl |
Publisher |
: Springer |
Total Pages |
: 175 |
Release |
: 2007-04-11 |
ISBN-10 |
: 9783540699095 |
ISBN-13 |
: 3540699090 |
Rating |
: 4/5 (95 Downloads) |
Synopsis Construction of Global Lyapunov Functions Using Radial Basis Functions by : Peter Giesl
The basin of attraction of an equilibrium of an ordinary differential equation can be determined using a Lyapunov function. A new method to construct such a Lyapunov function using radial basis functions is presented in this volume intended for researchers and advanced students from both dynamical systems and radial basis functions. Besides an introduction to both areas and a detailed description of the method, it contains error estimates and many examples.
Author |
: Michael Malisoff |
Publisher |
: Springer Science & Business Media |
Total Pages |
: 386 |
Release |
: 2009-06-13 |
ISBN-10 |
: 9781848825352 |
ISBN-13 |
: 1848825358 |
Rating |
: 4/5 (52 Downloads) |
Synopsis Constructions of Strict Lyapunov Functions by : Michael Malisoff
Converse Lyapunov function theory guarantees the existence of strict Lyapunov functions in many situations, but the functions it provides are often abstract and nonexplicit, and therefore may not lend themselves to engineering applications. Often, even when a system is known to be stable, one still needs explicit Lyapunov functions; however, once an appropriate strict Lyapunov function has been constructed, many robustness and stabilization problems can be solved through standard feedback designs or robustness arguments. Non-strict Lyapunov functions are often readily constructed. This book contains a broad repertoire of Lyapunov constructions for nonlinear systems, focusing on methods for transforming non-strict Lyapunov functions into strict ones. Their explicitness and simplicity make them suitable for feedback design, and for quantifying the effects of uncertainty. Readers will benefit from the authors’ mathematical rigor and unifying, design-oriented approach, as well as the numerous worked examples.