Stabilization of Linear Continuous Time-Varying Systems with State Delays in Hilbert Spaces
| dc.contributor.author | Phat, Vu Ngoc | |
| dc.date.accessioned | 2020-07-02T21:37:06Z | |
| dc.date.available | 2020-07-02T21:37:06Z | |
| dc.date.issued | 10/19/2001 | |
| dc.description.abstract | This paper studies the stabilization of the infinite-dimensional linear time-varying system with state delays ẋ = A(t)x + A1(t)x(t - h) + B(t)u. The operator A(t) 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. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 13 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Phat, V. N. (2001). Stabilization of linear continuous time-varying systems with state delays in Hilbert spaces. Electronic Journal of Differential Equations, 2001(67), pp. 1-13. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/11944 | |
| dc.language.iso | en | |
| dc.publisher | Southwest Texas State University, Department of Mathematics | |
| dc.rights | Attribution 4.0 International | |
| dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | |
| dc.source | Electronic Journal of Differential Equations, 2001, San Marcos, Texas: Southwest Texas State University and University of North Texas. | |
| dc.subject | Stabilization | |
| dc.subject | Time-varying | |
| dc.subject | Delay system | |
| dc.subject | Riccati equation | |
| dc.title | Stabilization of Linear Continuous Time-Varying Systems with State Delays in Hilbert Spaces | |
| dc.type | Article |