Quasi-Controllability and Estimates of Amplitudes of Transient Regimes in Discrete Systems

Details Quasi-Controllability and Estimates of Amplitudes of Transient Regimes in Discrete Systems Quasi-Controllability and Estimates of Amplitudes of Transient Regimes in Discrete Systems

2009-09-24

arxiv.org/abs/0909.4374v1

Proceedings of CESA'98 IMACS-IEEE Multiconference, Hammamet, Tunisia, April 1-4, 1998, Vol. 1, CD-ROM ISBN 2-9512309-0-7, 1998

Mathematics

Optimization and Control

7 pages

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 systems.

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