Explicit Stability Conditions for Continuous Systems
A Functional Analytic Approach
(Sprache: Englisch)
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...
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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.
Inhaltsverzeichnis zu „Explicit Stability Conditions for Continuous Systems “
- 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.
Bibliographische Angaben
- Autor: Michael I. Gil'
- 2005, 190 Seiten, Maße: 15,6 x 23,8 cm, Kartoniert (TB), Englisch
- Verlag: Springer
- ISBN-10: 3540239847
- ISBN-13: 9783540239840
- Erscheinungsdatum: 17.03.2005
Sprache:
Englisch
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