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[Free PDF.S6tw] Lyapunov Functionals and Stability of Stochastic Difference Equations

[Free PDF.S6tw] Lyapunov Functionals and Stability of Stochastic Difference Equations

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Book Details :
Published on: 2011-06-09
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Original language: English

Hereditary systems (or systems with either delay or after-effects) are widely used to model processes in physics, mechanics, control, economics and biology. An important element in their study is their stability. Stability conditions for difference equations with delay can be obtained using a Lyapunov functional. Lyapunov Functionals and Stability of Stochastic Difference Equations describes a general method of Lyapunov functional construction to investigate the stability of discrete- and continuous-time stochastic Volterra difference equations. The method allows the investigation of the degree to which the stability properties of differential equations are preserved in their difference analogues. The text is self-contained, beginning with basic definitions and the mathematical fundamentals of Lyapunov functional construction and moving on from particular to general stability results for stochastic difference equations with constant coefficients. Results are then discussed for stochastic difference equations of linear, nonlinear, delayed, discrete and continuous types. Examples are drawn from a variety of physical systems including inverted pendulum control, study of epidemic development, Nicholson’s blowflies equation and predator–prey relationships. Lyapunov Functionals and Stability of Stochastic Difference Equations is primarily addressed to experts in stability theory but will also be of use in the work of pure and computational mathematicians and researchers using the ideas of optimal control to study economic, mechanical and biological systems. Computing + Mathematical Sciences Course Descriptions Course Descriptions. Courses offered in our department for Applied and Computational Mathematics Control and Dynamical Systems and Computer Science are listed below. Current E-Letter IEEE Control Systems Society E-LETTER on Systems Control and Signal Processing Issue 341 January 2017 Editor: Jianghai Hu School of Electrical and Computer Engineering Purdue University IEEE Transactions on Automatic Control - Index IEEE TAC Table of Contents: 2017. January 2016. December November October 2016. September 2016 August 2016 July 2016 June 2016 May 2016 April 2016 March 2016 Le Live Marseille : aller dans les plus grandes soires ... Retrouvez toutes les discothque Marseille et se retrouver dans les plus grandes soires en discothque Marseille. Transactions of the American Mathematical Society Papers accepted for publication in Transactions of the American Mathematical Society which have not yet been published Papers are displayed ...
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