Explicit Stability Conditions for Continuous Systems: A Functional Analytic Approach: 314 - Brossura

Gil', Michael I.

Brossura

ISBN 10: 3540239847 ISBN 13: 9783540239840

Casa editrice: Springer Berlin Heidelberg, 2008

Riassunto

Explicit Stability Conditions for Continuous Systems deals with non-autonomous linear and nonlinear continuous finite dimensional systems. Explicit conditions for the asymptotic, absolute, input-to-state and orbital stabilities are discussed. This monograph provides new tools for specialists in control system theory and stability theory of ordinary differential equations, with a special emphasis on the Aizerman problem. A systematic exposition of the approach to stability analysis based on estimates for matrix-valued functions is suggested and various classes of systems are investigated from a unified viewpoint.

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Contenuti

Preliminaries.- Perturbations of Linear Systems.- Linear Systems with Slowly Varying Coefficients.- Linear Dissipative and Piecewise Constant Systems.- Nonlinear Systems with Autonomous Linear Parts.- The Aizerman Problem.- Nonlinear Systems with Time-Variant Linear Parts.- Essentially Nonlinear Systems.- The Lur'e Type Systems.- The Aizerman Type Problem for Nonautonomous Systems.- Input - State Stability.- Orbital Stability and Forced Oscillations.- Positive and Nontrivial Steady States.

Product Description

Book by Gil Michael I

Dettagli dell'edizione

• Editore: Springer Berlin Heidelberg
• Data di pubblicazione: 2008
• Lingua: Inglese
• ISBN 10: 3540239847
• ISBN 13: 9783540239840
• Rilegatura: Copertina flessibile
• Numero di pagine: 208
• Contatto del produttore: non disponibile
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