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This paper considers 2D systems described by the discrete Roesser model with linear dynamics in the forward path and a feedback path containing a memoryless, possibly time-varying, nonlinearity. Based on the extension of absolute stability theory to this class of systems, sufficient conditions for absolute p-stability are obtained and for the particular case of p = 2 linear matrix inequality based...
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...
Repetitive processes are a distinct class of two-dimensional systems (i.e., information propagation in two independent directions) of both systems theoretic and applications interest. They cannot be controlled by direct extension of existing techniques from either standard (termed 1D here) or two-dimensional (2D) systems theory. Here, we give new results on the relatively open problem of the design...
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