Explicit Stability Conditions for Continuous Systems: A Functional Analytic Approach (Lecture Notes in Control and Information Sciences) (Volume 314)

Gil, Michael I.

ISBN 10: 3540239847 / ISBN 13: 9783540239840

Editore: Springer, 2005

Volume 314. This is an ex-library book and may have the usual library/used-book markings inside.This book has soft covers. In good all round condition. Please note the Image in this listing is a stock photo and may not match the covers of the actual item,400grams, ISBN:9783540239840. Codice articolo 9789702

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.

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.

Dati bibliografici

Titolo: Explicit Stability Conditions for Continuous...
Casa editrice: Springer
Data di pubblicazione: 2005
Legatura: Brossura
Condizione: Good