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Admissible disturbance sets for discrete perturbed systems

100%

Bouyaghroumni J., Jai A. E., Rachik M.

International Journal of Applied Mathematics and Computer Science

2001

tom 11

nr 2

349-367

We consider a discrete disturbed system given by the difference bilinear equation where are disturbances which excite the system in a linear and a bilinear form. We assume that the system is augmented with the output function. Let be a tolerance index on the output. The disturbance is said to be -admissible if, where is the output signal associated with the case of an uninfected system. The set of all -admissible disturbances is the admissible set. The characterization of is investigated and numerical simulations are given.

Controllability of nonlinear discrete systems

88%

Klamka J.

International Journal of Applied Mathematics and Computer Science

2002

tom 12

nr 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.

Ograniczanie wyników

2 International Journal of Applied Mathematics and Computer Science

1 Bouyaghroumni J.

1 Jai A. E.

1 Klamka J.

1 Rachik M.

1 2002

1 2001

Wyniki wyszukiwania

Admissible disturbance sets for discrete perturbed systems

Controllability of nonlinear discrete systems