On Stabilization of Nonautonomous Nonlinear Systems
Journal Article
·
· AIP Conference Proceedings
- Faculty of Mathematics and IT, Ulyanovsk State University, 42 Leo Tolstoy str., Ulyanovsk, 432970 (Russian Federation)
The procedures to obtain the sufficient conditions of asymptotic stability for nonlinear nonstationary continuous-time systems are discussed. We consider different types of the following general controlled system: x = X(t,x,u) = F(t,x)+B(t,x)u, x(t{sub 0}) = x{sub 0}. (*) The basis of investigation is limiting equations, limiting Lyapunov functions, etc. The improved concept of observability of the pair of functional matrices is presented. By these results the problem of synthesis of asymptotically stable control nonlinear nonautonomous systems (with linear parts) involving the quadratic time-dependent Lyapunov functions is solved as well as stabilizing a given unstable system with nonlinear control law.
- OSTI ID:
- 21251630
- Journal Information:
- AIP Conference Proceedings, Journal Name: AIP Conference Proceedings Journal Issue: 1 Vol. 1067; ISSN APCPCS; ISSN 0094-243X
- Country of Publication:
- United States
- Language:
- English
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