Titlebook: Lyapunov Functionals and Stability of Stochastic Difference Equations; Leonid Shaikhet Book 2011 Springer-Verlag London Limited 2011 Contr

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Book 2011or 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 dev

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Lyapunov Functionals and Stability of Stochastic Difference Equations

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Book 2011ology. 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 t

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Linear Equations with Stationary Coefficients,. Besides the special investigation of asymptotic behavior of the solution of difference equation via characteristic equation are shown. The results of investigations are illustrated by figures with obtained stability regions and trajectories of solutions.

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Linear Equations with Nonstationary Coefficients,es of sufficient conditions for asymptotic mean square stability of the trivial solution of the considered equation with nonstationary coefficients. Stability conditions of some special form are constructed for systems with monotone coefficients

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Systems of Linear Equations with Varying Delays,equations with nonincreasing delays and difference equations with unbounded delays. The stability conditions obtained are formulated in terms of the existence of positive definite solutions of different matrix Riccati equations.