International Journal of Systems Science · 2010 · 75 citations · 31 references
Natural SciencesMathematicsSystems EngineeringDiscrete MathematicsDynamical SystemsSystem DynamicsControl Of Dynamical SystemsControl TheoryDiscrete Dynamical SystemsFeedback ControlStabilityStability TheoryAsymptotic StabilityLyapunov FunctionsLyapunov StabilityLyapunov Stability TheoryStabilization TheoryState Feedback ControlSwitched SystemsSwitching Systems
This article deals with sufficient conditions of asymptotic stability for discrete two-dimensional (2D) time switching systems represented by a model of Roesser type with state feedback control. This class of systems can correspond to 2D state space or 2D time space switching systems. This work is based on common and multiple Lyapunov functions. The results are presented in LMI form. Two examples are given to illustrate the results.
31