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Local constrained controllability problems for nonlinear finite-dimensional discrete 1-D and 2-D control systems with constant coefficients are formulated and discussed. Using some mapping theorems taken from nonlinear functional analysis and linear approximation methods, sufficient conditions for constrained controllability in bounded domains are derived and proved. The paper extends the controllability...
In this paper we examine the issue of controllability for positive linear 2D systems. We look at the connections between reachability, reach ability from zero boundary conditions, and the rank criterion for controllability for systems in which both the state and controls are constrained by practical considerations to lie in a positive orthant. While these concepts are equivalent for unconstrained...
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