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Explicit Stability Conditions for Continuous Systems: A Functional Analytic Approach

Explicit Stability Conditions for Continuous Systems: A Functional Analytic Approach

Paperback

Series: Lecture Notes in Control and Information Sciences, Book 314

Technology & EngineeringGeneral MathematicsPhysics

ISBN10: 3540239847
ISBN13: 9783540239840
Publisher: Springer Nature
Published: Mar 17 2005
Pages: 190
Weight: 0.70
Height: 0.50 Width: 6.10 Depth: 9.10
Language: English

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.

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