Explicit Stability Conditions for Continuous Systems A Functional Analytic Approach /

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 cont...

Πλήρης περιγραφή

Λεπτομέρειες βιβλιογραφικής εγγραφής
Κύριος συγγραφέας: Gil’, Michael I. (Συγγραφέας)
Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
Γλώσσα:English
Έκδοση: Berlin, Heidelberg : Springer Berlin Heidelberg, 2005.
Σειρά:Lecture Notes in Control and Information Science, 314
Θέματα:
Διαθέσιμο Online:Full Text via HEAL-Link
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245 1 0 |a Explicit Stability Conditions for Continuous Systems  |h [electronic resource] :  |b A Functional Analytic Approach /  |c by Michael I. Gil’. 
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490 1 |a Lecture Notes in Control and Information Science,  |x 0170-8643 ;  |v 314 
505 0 |a 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. 
520 |a 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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650 0 |a Robotics. 
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650 2 4 |a Statistical Physics, Dynamical Systems and Complexity. 
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830 0 |a Lecture Notes in Control and Information Science,  |x 0170-8643 ;  |v 314 
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