Hybrid feedback controls and stabilization of linear differential systems

E. Litsyn, Y.V. Nepomyashchikh, A. Ponosov
Proceedings of the 39th IEEE Conference on Decision and Control (Cat. No.00CH37187)  
We study so-called "hybrid feedback stabilizers" for an arbitrarily general system of linear differential equations. We prove that under assumptions of controllability and observability there exists a hybrid feedback output control which makes the system asymptotically stable. The control is designed by making use of a discrete automaton implanted into the system's dynamics. In general, the automaton has infinitely many locations, but it gives rise to an "uniform" (in some sense) feedback
more » ... nse) feedback control. The approach we propose goes back to the classical feedback control technique combined with some ideas used in the stability theory for equations with time-delay.
doi:10.1109/cdc.2001.914677 fatcat:bhzk5y5wfjenbbesv63bkegzhe