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Stability and stabilization of systems modeled by 2D nonlinear stochastic roesser models

This paper considers 2D systems described by the nonlinear discrete Roesser model with nonlinearities in both the forward and feedback paths. The analysis is based on an extension of absolute stability theory to the class of systems considered, and sufficient conditions for absolute p-stability and stabilization are obtained. These results are then extended to the case when Markovian jumps are included in the model description. In the case of p = 2; a linear matrix inequality based method for the design of a stabilizing nonlinear feedback control law is developed.