Stability Analysis of Nonlinear Systems with Slope Restricted Nonlinearities
The problem of absolute stability of Lur’e systems with sector and slope restricted nonlinearities is revisited. Novel time-domain and frequency-domain criteria are established by using the Lyapunov method and the well-known Kalman-Yakubovich-Popov (KYP) lemma. The criteria strengthen some existing...
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | The Scientific World Journal |
| Online Access: | http://dx.doi.org/10.1155/2014/278305 |
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| author | Xian Liu Jiajia Du Qing Gao |
| author_facet | Xian Liu Jiajia Du Qing Gao |
| author_sort | Xian Liu |
| collection | DOAJ |
| description | The problem of absolute stability of Lur’e systems with sector and slope restricted nonlinearities is revisited. Novel time-domain and frequency-domain criteria are established by using the Lyapunov method and the well-known Kalman-Yakubovich-Popov (KYP) lemma. The criteria strengthen some existing results. Simulations are given to illustrate the efficiency of the results. |
| format | Article |
| id | doaj-art-11aa64e4ef4e4074b4171ebb6f7d04b8 |
| institution | Kabale University |
| issn | 2356-6140 1537-744X |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | The Scientific World Journal |
| spelling | doaj-art-11aa64e4ef4e4074b4171ebb6f7d04b82025-02-03T01:10:17ZengWileyThe Scientific World Journal2356-61401537-744X2014-01-01201410.1155/2014/278305278305Stability Analysis of Nonlinear Systems with Slope Restricted NonlinearitiesXian Liu0Jiajia Du1Qing Gao2Key Lab of Industrial Computer Control Engineering of Hebei Province, Institute of Electrical Engineering, Yanshan University, Qinhuangdao 066004, ChinaKey Lab of Industrial Computer Control Engineering of Hebei Province, Institute of Electrical Engineering, Yanshan University, Qinhuangdao 066004, ChinaKey Lab of Industrial Computer Control Engineering of Hebei Province, Institute of Electrical Engineering, Yanshan University, Qinhuangdao 066004, ChinaThe problem of absolute stability of Lur’e systems with sector and slope restricted nonlinearities is revisited. Novel time-domain and frequency-domain criteria are established by using the Lyapunov method and the well-known Kalman-Yakubovich-Popov (KYP) lemma. The criteria strengthen some existing results. Simulations are given to illustrate the efficiency of the results.http://dx.doi.org/10.1155/2014/278305 |
| spellingShingle | Xian Liu Jiajia Du Qing Gao Stability Analysis of Nonlinear Systems with Slope Restricted Nonlinearities The Scientific World Journal |
| title | Stability Analysis of Nonlinear Systems with Slope Restricted Nonlinearities |
| title_full | Stability Analysis of Nonlinear Systems with Slope Restricted Nonlinearities |
| title_fullStr | Stability Analysis of Nonlinear Systems with Slope Restricted Nonlinearities |
| title_full_unstemmed | Stability Analysis of Nonlinear Systems with Slope Restricted Nonlinearities |
| title_short | Stability Analysis of Nonlinear Systems with Slope Restricted Nonlinearities |
| title_sort | stability analysis of nonlinear systems with slope restricted nonlinearities |
| url | http://dx.doi.org/10.1155/2014/278305 |
| work_keys_str_mv | AT xianliu stabilityanalysisofnonlinearsystemswithsloperestrictednonlinearities AT jiajiadu stabilityanalysisofnonlinearsystemswithsloperestrictednonlinearities AT qinggao stabilityanalysisofnonlinearsystemswithsloperestrictednonlinearities |