E Book

Explicit Stability Conditions for Continuous Systems

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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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Informasi Detail

Judul Seri

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No. Panggil

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Penerbit

Berlin, Heidelberg : Springer., 2005

Deskripsi Fisik

X, 190 p.online resource.

Bahasa

English

ISBN/ISSN

9783540316374

Klasifikasi

629.8

Tipe Isi

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Tipe Media

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Tipe Pembawa

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Edisi

1st ed.

Subjek

Control engineering.
Robotics.
Mechatronics.
Control, Robotics, Mechatronics.
Statistical physics.
Dynamical systems.
Complex Systems.
Statistical Physics and Dynamical Systems.
Vibration.
Dynamics.
Vibration, Dynamical Systems, Control.
System theory.
Systems Theory, Control.

Info Detail Spesifik

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Pernyataan Tanggungjawab

Michael I. Gil.

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