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...

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Bibliographic Details
Main Author: Gil, Michael I.
Format: eBook
Language:English
Published: Berlin, Heidelberg Springer Berlin Heidelberg 2005, 2005
Edition:1st ed. 2005
Series:Lecture Notes in Control and Information Sciences
Subjects:
Online Access:
Collection: Springer eBooks 2005- - Collection details see MPG.ReNa
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245 0 0 |a Explicit Stability Conditions for Continuous Systems  |h Elektronische Ressource  |b A Functional Analytic Approach  |c by Michael I. Gil 
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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 
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653 |a Complex Systems 
653 |a Control, Robotics, Automation 
653 |a Control theory 
653 |a Systems Theory, Control 
653 |a Multibody Systems and Mechanical Vibrations 
653 |a System theory 
653 |a Vibration 
653 |a Control engineering 
653 |a Robotics 
653 |a Mathematical physics 
653 |a Multibody systems 
653 |a Automation 
653 |a Theoretical, Mathematical and Computational Physics 
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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