Asymptotic Stability of Nonlinear Control Systems Described by Difference Equations with Multiple Delays
| dc.contributor.author | Niamsup, Piyapong | |
| dc.contributor.author | Phat, Vu Ngoc | |
| dc.date.accessioned | 2020-01-06T17:36:30Z | |
| dc.date.available | 2020-01-06T17:36:30Z | |
| dc.date.issued | 2000-02-01 | |
| dc.description.abstract | In this paper we study nonlinear control systems with multiple delays on controls and states. To obtain asymptotic stability, we impose Holder-type assumptions on the perturbing function, and show a Gronwall-type inequality for difference equations with delay. We prove that a nonlinear control system can be stabilized if its linear control system can be stabilized. Some examples are included in the last part of this paper. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 17 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Niamsup, P., & Phat, V. N. (2000). Asymptotic stability of nonlinear control systems described by difference equations with multiple delays. <i>Electronic Journal of Differential Equations, 2000</i>(11), pp. 1-17. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/9131 | |
| 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, 2000, San Marcos, Texas: Southwest Texas State University and University of North Texas. | |
| dc.subject | Stability | |
| dc.subject | Difference equations | |
| dc.subject | Nonlinear control systems | |
| dc.subject | Gronwall inequality | |
| dc.subject | Holder condition | |
| dc.subject | Multiple delay | |
| dc.title | Asymptotic Stability of Nonlinear Control Systems Described by Difference Equations with Multiple Delays | |
| dc.type | Article |