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In the present paper local constrained controllability problems for nonlinear discrete 2-D systems with constant coefficients 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 paper extends in some sense the results given in previous papers to cover...
In the paper unconstrained local controllability problem of finite-dimensional fractional discrete-time semilinear systems with constant coefficients is addressed. Using general formula of solution of difference state equation sufficient condition for local unconstrained controllability in a given number of steps is formulated and proved. Simple illustrative example is also presented.
The minimum energy control problem of infinite-dimensional fractional-discrete time linear systems both without delays and with delays in control is discussed. Using methods taken from functional analysis necessary and sufficient conditions for the exact controllability of the system are established. Next, assuming exact controllability analytical solution of the minimum energy control of the infinite-dimensional...
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