№2 (20), 2012. MATHEMATICS AND SCIENCE

Sedova N O

On study of stability for nonlinear continuous-discrete control systems

Some asymptotic stability results for nonlinear delay systems are presented on the base a modification of the Lyapu-nov-Razumikhin technique as well as the limitingsystems method under some more general assumptions, in compare with the usual ones, on the right-hand side of the system. The results are applicable to the continuous systems which are con-trolled with piecewise constant controls. They develop some known results.

Keywords: piecewise constant control, stability, stabilization, delay.

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