Michael I. Gil
Explicit Stability Conditions for Continuous Systems
A Functional Analytic Approach
Paperback Engels 2005 2005e druk 9783540239840
Verwachte levertijd ongeveer 9 werkdagen
Samenvatting
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.
Specificaties
ISBN13:9783540239840
Taal:Engels
Bindwijze:paperback
Aantal pagina's:190
Uitgever:Springer Berlin Heidelberg
Druk:2005
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Inhoudsopgave
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.
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