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This paper is concerned with stability analysis for two-dimensional (2-D) discrete systems described by the Roesser models (RM) with varying delay in the state. By utilizing the delay partitioning idea and the Lyapunov method, a new stability criteria is proposed in terms of linear matrix inequalities (LMIs). This result is delay-dependent and also dependent on the partitioning size. A numerical example...
Delay systems may be encountered stochastic perturbation, and the stability conditions of such systems are different from delay systems and stochastic systems. This paper considers the problems of robust stabilization for 2-D state-delayed system in Roesser model (RM) with stochastic perturbation for the first time. Delay-dependent sufficient stability conditions are derived in terms of linear matrix...
This paper is concerned with stability analysis for two-dimensional (2-D) discrete systems with shift delays in the general models (GM). Delay-dependent sufficient conditions for stability are derived and expressed in terms of linear matrix inequalities (LMIs). The stability theorem concludes stability theorems for 2D discrete systems by the general models and the Fornasini-Marchesini local state...
This paper considers the problem of robust guaranteed cost control for uncertain two-dimensional (2-D) discrete shift-delayed systems in Fornasini-Marchesini model the second class (FMMII). The parameter uncertainty is assumed to be norm-bounded. The problem to be addressed is the design of state feedback controllers such that the closed-loop system is quadratic stable and an adequate level of performance...
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