Exponential stability of switched linear systems with time-varying delay
dc.contributor.author | Phat, Vu Ngoc | |
dc.contributor.author | Pairote, Satiracoo | |
dc.date.accessioned | 2021-08-18T17:25:27Z | |
dc.date.available | 2021-08-18T17:25:27Z | |
dc.date.issued | 2007-11-21 | |
dc.description.abstract | We use a Lyapunov-Krasovskii functional approach to establish the exponential stability of linear systems with time-varying delay. Our delay-dependent condition allows to compute simultaneously the two bounds that characterize the exponential stability rate of the solution. A simple procedure for constructing switching rule is also presented. | |
dc.description.department | Mathematics | |
dc.format | Text | |
dc.format.extent | 10 pages | |
dc.format.medium | 1 file (.pdf) | |
dc.identifier.citation | Phat, V. N., & Pairote, S. (2007). Exponential stability of switched linear systems with time-varying delay. Electronic Journal of Differential Equations, 2007(159), pp. 1-10. | |
dc.identifier.issn | 1072-6691 | |
dc.identifier.uri | https://hdl.handle.net/10877/14373 | |
dc.language.iso | en | |
dc.publisher | Texas State University-San Marcos, 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, 2007, San Marcos, Texas: Texas State University-San Marcos and University of North Texas. | |
dc.subject | Switched system | |
dc.subject | Time delay | |
dc.subject | Exponential stability | |
dc.subject | Lyapunov equation | |
dc.title | Exponential stability of switched linear systems with time-varying delay | |
dc.type | Article |