Title :
Asymptotic stability of distributed parameter systems with feedback controls
Author_Institution :
University of Southern California, Los Angeles, CA, USA
fDate :
1/1/1966 12:00:00 AM
Abstract :
In this paper, the problem of stability in distributed parameter systems with feedback controls is formulated directly in the framework of partial differential equations without resorting to further approximations. Sufficient conditions for Lyapunov asymptotic stability are derived for particular classes of systems with distributed, mixed distributed, and boundary control laws, and also for systems with time delay. The applications of the main results are illustrated by examples.
Keywords :
Asymptotic stability; Distributed systems; Adaptive control; Asymptotic stability; Control systems; Distributed control; Distributed parameter systems; Feedback control; Mathematical model; Partial differential equations; Stress; Sufficient conditions;
Journal_Title :
Automatic Control, IEEE Transactions on
DOI :
10.1109/TAC.1966.1098237