Liapunov Functions and Stability in Control Theory

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 inte...

Πλήρης περιγραφή

Λεπτομέρειες βιβλιογραφικής εγγραφής
Κύριοι συγγραφείς: Bacciotti, Andrea (Συγγραφέας), Rosier, Lionel (Συγγραφέας)
Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
Γλώσσα:English
Έκδοση: Berlin, Heidelberg : Springer Berlin Heidelberg, 2005.
Έκδοση:2nd Edition.
Σειρά:Communications and Control Engineering,
Θέματα:
Διαθέσιμο Online:Full Text via HEAL-Link
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100 1 |a Bacciotti, Andrea.  |e author. 
245 1 0 |a Liapunov Functions and Stability in Control Theory  |h [electronic resource] /  |c by Andrea Bacciotti, Lionel Rosier. 
250 |a 2nd Edition. 
264 1 |a Berlin, Heidelberg :  |b Springer Berlin Heidelberg,  |c 2005. 
300 |a XIII, 237 p.  |b online resource. 
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490 1 |a Communications and Control Engineering,  |x 0178-5354 
505 0 |a Differential equations -- Time invariant systems -- Time varying systems -- Differential inclusions -- Additional properties of strict Liapunov functions -- Monotonicity and generalized derivatives. 
520 |a 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. 
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650 0 |a System theory. 
650 0 |a Statistical physics. 
650 0 |a Dynamical systems. 
650 0 |a Vibration. 
650 0 |a Dynamics. 
650 0 |a Control engineering. 
650 0 |a Robotics. 
650 0 |a Mechatronics. 
650 1 4 |a Engineering. 
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650 2 4 |a Systems Theory, Control. 
650 2 4 |a Statistical Physics, Dynamical Systems and Complexity. 
650 2 4 |a Vibration, Dynamical Systems, Control. 
700 1 |a Rosier, Lionel.  |e author. 
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776 0 8 |i Printed edition:  |z 9783540213321 
830 0 |a Communications and Control Engineering,  |x 0178-5354 
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