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Explicit Stability Conditions for Continuous Systems

A Functional Analytic Approach

Medium: Buch
ISBN: 978-3-540-23984-0
Verlag: Springer-Verlag GmbH
Erscheinungstermin: 17.03.2005
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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.


Produkteigenschaften


  • Artikelnummer: 9783540239840
  • Medium: Buch
  • ISBN: 978-3-540-23984-0
  • Verlag: Springer-Verlag GmbH
  • Erscheinungstermin: 17.03.2005
  • Sprache(n): Englisch
  • Auflage: 2005
  • Serie: Lecture Notes in Control and Information Sciences
  • Produktform: Kartoniert, Book
  • Gewicht: 328 g
  • Seiten: 190
  • Format (B x H x T): 156 x 238 x 17 mm
  • Ausgabetyp: Kein, Unbekannt
Autoren/Hrsg.

Autoren

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.