E Book

Liapunov Functions and Stability in Control Theory

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Differential equations -- Time invariant systems -- Time varying systems -- Differential inclusions -- Additional properties of strict Liapunov functions -- Monotonicity and generalized derivatives.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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Ketersediaan

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Informasi Detail

Judul Seri

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No. Panggil

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Penerbit

Berlin, Heidelberg : Springer., 2005

Deskripsi Fisik

XIII, 237 p.online resource.

Bahasa

English

ISBN/ISSN

9783540273974

Klasifikasi

629.8

Tipe Isi

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Tipe Media

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Tipe Pembawa

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Edisi

2nd ed.

Subjek

Control engineering.
Robotics.
Mechatronics.
Control, Robotics, Mechatronics.
Statistical physics.
Dynamical systems.
Complex Systems.
Statistical Physics and Dynamical Systems.
Vibration.
Dynamics.
Vibration, Dynamical Systems, Control.
System theory.
Systems Theory, Control.

Info Detail Spesifik

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Pernyataan Tanggungjawab

Andrea Bacciotti, Lionel Rosier.

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