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

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

2009-08-28

arxiv.org/abs/0908.4138v1

Mathematics

Dynamical Systems

19 pages, 30 bibl. referebces

Scientific paper

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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