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Paper details
Number 2 - June 2002
Volume 12 - 2002
Controllability of nonlinear discrete systems
Jerzy Klamka
Abstract
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.
Keywords
nonlinear systems, discrete systems, 2-D systems, controllability, nonlinear covering operators