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Switching Design for the Asymptotic Stability and Stabilization of Nonlinear Uncertain Stochastic Discrete-time Systems
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Grienggrai Rajchakit
Veröffentlicht/Copyright:
21. Februar 2013
Abstract
This paper is concerned with asymptotic stability and stabilization of nonlinear uncertain stochastic switched discrete time-delay systems. The system to be considered is subject to interval time-varying delays, which allows the delay to be a fast time-varying function and the lower bound is not restricted to zero. Based on the discrete Lyapunov functional, a switching rule for the asymptotic stability and stabilization for the nonlinear uncertain stochastic discrete time-delay system is designed via linear matrix inequalities. Numerical examples are included to illustrate the effectiveness of the results.
Keywords: switching design; nonlinear uncertain stochastic discrete system; asymptotic stability and stabilization; Lyapunov function; linear matrix inequality
Received: 2011-10-28
Accepted: 2012-9-24
Published Online: 2013-2-21
Published in Print: 2013-2-22
©2013 by De Gruyter
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Artikel in diesem Heft
- Frontmatter
- Vapor Films under Influence of High Heat Fluxes: Nongravity Surface Waves and Film Explosive Disintegration
- Dynamic Constitutive Behavior and Fracture of Lanthanum Metal Subjected to Impact Compression at Different Temperatures and Impact Tension
- An Application of the Modified Reductive Perturbation Method to a Generalized Boussinesq Equation
- Switching Design for the Asymptotic Stability and Stabilization of Nonlinear Uncertain Stochastic Discrete-time Systems
- A Novel Two-fluid Model for the Identification of Possible Multiple Solutions in Slightly Inclined Pipelines
- Adaptive Synchronization of Filippov Systems with Unknown Parameters via Sliding Mode Control
- Chebyshev Split-step Scheme for the Sine-Gordon Equation in 2+1 Dimensions
- The Numerical Connection between Map and its Differential Equation: Logistic and Other Systems
- Exact Travelling Wave Solutions for the Modified Fornberg-Whitham Equation
Schlagwörter für diesen Artikel
switching design;
nonlinear uncertain stochastic discrete system;
asymptotic stability and stabilization;
Lyapunov function;
linear matrix inequality
Artikel in diesem Heft
- Frontmatter
- Vapor Films under Influence of High Heat Fluxes: Nongravity Surface Waves and Film Explosive Disintegration
- Dynamic Constitutive Behavior and Fracture of Lanthanum Metal Subjected to Impact Compression at Different Temperatures and Impact Tension
- An Application of the Modified Reductive Perturbation Method to a Generalized Boussinesq Equation
- Switching Design for the Asymptotic Stability and Stabilization of Nonlinear Uncertain Stochastic Discrete-time Systems
- A Novel Two-fluid Model for the Identification of Possible Multiple Solutions in Slightly Inclined Pipelines
- Adaptive Synchronization of Filippov Systems with Unknown Parameters via Sliding Mode Control
- Chebyshev Split-step Scheme for the Sine-Gordon Equation in 2+1 Dimensions
- The Numerical Connection between Map and its Differential Equation: Logistic and Other Systems
- Exact Travelling Wave Solutions for the Modified Fornberg-Whitham Equation
