Discrete nonlinear systems are considered. Inspired by what was done in (Banks et al., 1996) and (Hong et al., 1994), we develop some sufficient conditions which assure the stability of discrete-time nonlinear varying systems. The problem for discrete delayed systems is also considered.
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In the present paper local constrained controllability problems for nonlinear discrete 2D system with constant coefficients and constrained controls are formulated and discussed. Using some mapping theorems taken from functional analysis and linear approximation methods sufficient conditions for constrained controllability are derived and proved. The present paper extends in some previous results given in the literature to cover controllability problem for the nonlinear discrete 2D systems with constant coefficients and constrained controls.
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