Explicit Stability Conditions for Continuous Systems A Functional Analytic Approach
Title:
Explicit Stability Conditions for Continuous Systems A Functional Analytic Approach
Author:
Gil’, Michael I. author.
ISBN:
9783540316374
Personal Author:
Physical Description:
X, 190 p. online resource.
Series:
Lecture Notes in Control and Information Science, 314
Contents:
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.
Abstract:
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.
Added Corporate Author:
Electronic Access:
http://dx.doi.org/10.1007/b99808