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Stability and Stabilization of Nonlinear Systems with Random Structures

2002-08-22 Mathematics
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Release : 2002-08-22
Genre : Mathematics
Kind : eBook
Book Rating : 892/5 ( reviews)

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Book Synopsis Stability and Stabilization of Nonlinear Systems with Random Structures by : I. Ya Kats

Download or read book Stability and Stabilization of Nonlinear Systems with Random Structures written by I. Ya Kats. This book was released on 2002-08-22. Available in PDF, EPUB and Kindle. Book excerpt: Nonlinear systems with random structures arise quite frequently as mathematical models in diverse disciplines. This monograph presents a systematic treatment of stability theory and the theory of stabilization of nonlinear systems with random structure in terms of new developments in the direct Lyapunov's method. The analysis focuses on dynamic sys

Stability and Stabilization of Nonlinear Systems with Random Structures

2002-08-22 Mathematics
Download Stability and Stabilization of Nonlinear Systems with Random Structures PDF Online Free

Author :
Release : 2002-08-22
Genre : Mathematics
Kind : eBook
Book Rating : 537/5 ( reviews)

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Book Synopsis Stability and Stabilization of Nonlinear Systems with Random Structures by : I. Ya Kats

Download or read book Stability and Stabilization of Nonlinear Systems with Random Structures written by I. Ya Kats. This book was released on 2002-08-22. Available in PDF, EPUB and Kindle. Book excerpt: Nonlinear systems with random structures arise quite frequently as mathematical models in diverse disciplines. This monograph presents a systematic treatment of stability theory and the theory of stabilization of nonlinear systems with random structure in terms of new developments in the direct Lyapunov's method. The analysis focuses on dynamic systems with random Markov parameters. This high-level research text is recommended for all those researching or studying in the fields of applied mathematics, applied engineering, and physics-particularly in the areas of stochastic differential equations, dynamical systems, stability, and control theory.

Stability and Stabilization of Nonlinear Systems

2008-01-26 Technology & Engineering
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Release : 2008-01-26
Genre : Technology & Engineering
Kind : eBook
Book Rating : 771/5 ( reviews)

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Book Synopsis Stability and Stabilization of Nonlinear Systems by : Dirk Aeyels

Download or read book Stability and Stabilization of Nonlinear Systems written by Dirk Aeyels. This book was released on 2008-01-26. Available in PDF, EPUB and Kindle. Book excerpt: These papers were presented at the first EC-TMR Nonlinear Control Network Workshop, on Stability and Stabilization of Nonlinear Systems, that took place in March 1999, Ghent, Belgium. The TMR programme offers a unique opportunity for the academic community to expand their knowledge, share their experience and identify and discuss strategic issues in aspects of nonlinear control engineering. The aim is to create a resource centre of available expertise and research interests. This outstanding reference volume presents current and emerging research directions, including: Stability analysis of nonlinear dynamical systems and converse Lyapunov theorems; Stabilization and regulation of nonlinear dynamical control systems; Control of physical systems using physics-based Lyapunov functions and passivity, as well as bifurcation analysis and optimal control. This collection of peer-reviewed papers provides a comprehensive overview of this field of research for graduate students and researchers in engineering and applied mathematics.

Control of Singular Systems with Random Abrupt Changes

2008-01-12 Technology & Engineering
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Release : 2008-01-12
Genre : Technology & Engineering
Kind : eBook
Book Rating : 456/5 ( reviews)

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Book Synopsis Control of Singular Systems with Random Abrupt Changes by : El-Kébir Boukas

Download or read book Control of Singular Systems with Random Abrupt Changes written by El-Kébir Boukas. This book was released on 2008-01-12. Available in PDF, EPUB and Kindle. Book excerpt: This book deals with the class of singular systems with random abrupt changes also known as singular Markovian jump systems. Various problems and their robustness are tackled. The book examines both the theoretical and practical aspects of the control problems from the angle of the structural properties of linear systems. It can be used as a textbook as well as a reference for researchers in control or mathematics with interest in control theory.

Local Lyapunov Exponents

2009 Mathematics
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Release : 2009
Genre : Mathematics
Kind : eBook
Book Rating : 632/5 ( reviews)

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Book Synopsis Local Lyapunov Exponents by : Wolfgang Siegert

Download or read book Local Lyapunov Exponents written by Wolfgang Siegert. This book was released on 2009. Available in PDF, EPUB and Kindle. Book excerpt: Establishing a new concept of local Lyapunov exponents the author brings together two separate theories, namely Lyapunov exponents and the theory of large deviations. Specifically, a linear differential system is considered which is controlled by a stochastic process that during a suitable noise-intensity-dependent time is trapped near one of its so-called metastable states. The local Lyapunov exponent is then introduced as the exponential growth rate of the linear system on this time scale. Unlike classical Lyapunov exponents, which involve a limit as time increases to infinity in a fixed system, here the system itself changes as the noise intensity converges, too.

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