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Controllability of Nonlinear Discrete Systems

Klamka J.

International Journal of Applied Mathematics and Computer Science

2002

Vol. 12, no 2

173-180

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 conditions with unconstrained controls given in the literature to cover both 1-D and 2-D nonlinear discrete systems with constrained controls.

Local Controllability of 2D Nonlinear Systems

Klamka J.

Bulletin of the Polish Academy of Sciences. Technical Sciences

1999

Vol. 47, nr 2

153-162

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.