NEW LYAPUNOV-KRASOVSKIY FUNCTIONAL FOR EXPONENTIAL STABILITY PROOF OF NONLINEAR SYSTEM WITH DELAY

Bobtsov Alexey A., Pyrkin Anton Alexandrovich

2011 , VOLUME 11, NUMBER 2 ( MART-APRIL )

ISSN 2226-1494 (print), ISSN 2500-0373 (online)

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Nikiforov
Vladimir O.
D.Sc., Prof.

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NEW LYAPUNOV-KRASOVSKIY FUNCTIONAL FOR EXPONENTIAL STABILITY PROOF OF NONLINEAR SYSTEM WITH DELAY

A. A. Bobtsov, A. A. Pyrkin

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Abstract

The new type of a Lyapunov-Krasovskiy functional is considered to prove the exponential stability of nonlinear system with parametric and functional uncertainties and delay. The method of consecutive compensator developed by one of the authors has been used as a regulator for stabilization of nonlinear system.

Keywords: output control, system with delay, exponential stability

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