Explicit Stability Conditions for Continuous Systems : A Functional Analytic Approach /
By: Gil’, Michael I [author.].
Contributor(s): SpringerLink (Online service).
Material type:
BookSeries: Lecture Notes in Control and Information Science: 314Publisher: Berlin, Heidelberg : Springer Berlin Heidelberg, 2005.Description: X, 190 p. online resource.Content type: text Media type: computer Carrier type: online resourceISBN: 9783540316374.Subject(s): Engineering | System theory | Statistical physics | Dynamical systems | Vibration | Dynamics | Control engineering | Robotics | Mechatronics | Engineering | Control, Robotics, Mechatronics | Vibration, Dynamical Systems, Control | Systems Theory, Control | Statistical Physics, Dynamical Systems and ComplexityDDC classification: 629.8 Online resources: Click here to access online | Item type | Current location | Call number | Status | Date due | Barcode | Item holds |
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E books
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PK Kelkar Library, IIT Kanpur | Available | EBK7629 |
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.
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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