Abstract
Infinite-dimensional representation of nD nonlinear systems described either by the Fornasini–Marchesini second model or the Roesser model is constructed in this paper. The representation makes it possible to apply general theory of infinite-dimensional discrete-time dynamical systems to nD nonlinear systems, which renders characterizations of Lyapunov stability, asymptotic stability, and dissipativity of nD nonlinear systems.
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Hanba, S. Infinite-dimensional representation of nD nonlinear state space systems. Multidim Syst Sign Process 34, 163–177 (2023). https://doi.org/10.1007/s11045-022-00857-5
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DOI: https://doi.org/10.1007/s11045-022-00857-5