Strong stabilization for a class of nonlinear time-varying control systems with state delays
| Authors: | Phat Vu Ngoc, Vietnam Academy of Science & Technology, Viet Nam
Linh Nguyen M., Vietnam Academy of Science & Technology, Viet Nam
Phuong Ta D., Vietnam Academy of Science & Technology, Viet Nam |
|---|
| Topic: | 2.3 Non-Linear Control Systems |
|---|
| Session: | Nonlinear Controller Design |
|---|
| Keywords: | Stability, stabilizability, controllability, nonlinear time-varying systems, state delays, Riccati equation |
|---|
Abstract
This paper deals with the strong stabilization problem of a class of nonlinear time-varying control systems with state delays. Under appropriate growth conditions on the nonlinear perturbation, new sufficient conditions for the strong stabilizability are established based on the global null-controllability of the nominal linear system. These conditions are presented in terms of the solution of a standard Riccati differential equation. A constructive procedure for finding feedback stabilizing controls is also given.
