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arXiv · 0908.4138

Estimates of Amplitudes of Transient Regimes in Quasi-Controllable Discrete Systems

V. Kozyakin·A. Pokrovskii
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Abstract

Families of regimes for discrete control systems are studied possessing a special quasi-controllability property that is similar to the Kalman controllability property. A new approach is proposed to estimate the amplitudes of transient regimes in quasi-controllable systems. Its essence is in obtaining of constructive a priori bounds for degree of overshooting in terms of the quasi-controllability measure. The results are applicable for analysis of transients, classical absolute stability problem and, especially, for stability problem for desynchronized (asynchronous, switching) systems.

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V. Kozyakin, A. Pokrovskii. 2009-08-28. Estimates of Amplitudes of Transient Regimes in Quasi-Controllable Discrete Systems. https://arxiv.org/abs/0908.4138

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