Vu Ngoc Phat
This paper studies the stabilization of the infinite-dimensional linear time-varying system with state delays
The operator is assumed to be the generator of a strong evolution operator. In contrast to the previous results, the stabilizability conditions are obtained via solving a Riccati differential equation and do not involve any stability property of the evolution operator. Our conditions are easy to construct and to verify. We provide a step-by-step procedure for finding feedback controllers and state stability conditions for some linear delay control systems with nonlinear perturbations.
Submitted August 16, 2001. Published October 19, 2001.
Math Subject Classifications: 93D15, 93B05, 34K20.
Key Words: Stabilization, time-varying, delay system, Riccati equation.
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| Vu Ngoc Phat |
School of Electrical Engineering & Telecommunications
Faculty of Engineering, University of New South Wales
Sydney 2052, Australia
On leave from
Institute of Mathematics
P.O. Box 631, BoHo, Hanoi, Vietnam
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