Input-to-State Stability of Nonlinear Switched Systems via Lyapunov Method Involving Indefinite Derivative
This paper studies the input-to-state stability (ISS) of nonlinear switched systems. By using Lyapunov method involving indefinite derivative and average dwell-time (ADT) method, some sufficient conditions for ISS are obtained. In our approach, the time-derivative of the Lyapunov function is not nec...
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| Format: | Article |
| Language: | English |
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Wiley
2018-01-01
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| Series: | Complexity |
| Online Access: | http://dx.doi.org/10.1155/2018/8701219 |
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| _version_ | 1832554538429579264 |
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| author | Peng Li Xiaodi Li Jinde Cao |
| author_facet | Peng Li Xiaodi Li Jinde Cao |
| author_sort | Peng Li |
| collection | DOAJ |
| description | This paper studies the input-to-state stability (ISS) of nonlinear switched systems. By using Lyapunov method involving indefinite derivative and average dwell-time (ADT) method, some sufficient conditions for ISS are obtained. In our approach, the time-derivative of the Lyapunov function is not necessarily negative definite and that allows wider applications than existing results in the literature. Examples are provided to illustrate the applications and advantages of our general results and the proposed approach. |
| format | Article |
| id | doaj-art-fc51968b090847c9af75abd517f3c2b9 |
| institution | Kabale University |
| issn | 1076-2787 1099-0526 |
| language | English |
| publishDate | 2018-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Complexity |
| spelling | doaj-art-fc51968b090847c9af75abd517f3c2b92025-02-03T05:51:19ZengWileyComplexity1076-27871099-05262018-01-01201810.1155/2018/87012198701219Input-to-State Stability of Nonlinear Switched Systems via Lyapunov Method Involving Indefinite DerivativePeng Li0Xiaodi Li1Jinde Cao2School of Mathematics and Statistics, Shandong Normal University, Jinan 250014, ChinaSchool of Mathematics and Statistics, Shandong Normal University, Jinan 250014, ChinaSchool of Mathematics and Statistics, Shandong Normal University, Jinan 250014, ChinaThis paper studies the input-to-state stability (ISS) of nonlinear switched systems. By using Lyapunov method involving indefinite derivative and average dwell-time (ADT) method, some sufficient conditions for ISS are obtained. In our approach, the time-derivative of the Lyapunov function is not necessarily negative definite and that allows wider applications than existing results in the literature. Examples are provided to illustrate the applications and advantages of our general results and the proposed approach.http://dx.doi.org/10.1155/2018/8701219 |
| spellingShingle | Peng Li Xiaodi Li Jinde Cao Input-to-State Stability of Nonlinear Switched Systems via Lyapunov Method Involving Indefinite Derivative Complexity |
| title | Input-to-State Stability of Nonlinear Switched Systems via Lyapunov Method Involving Indefinite Derivative |
| title_full | Input-to-State Stability of Nonlinear Switched Systems via Lyapunov Method Involving Indefinite Derivative |
| title_fullStr | Input-to-State Stability of Nonlinear Switched Systems via Lyapunov Method Involving Indefinite Derivative |
| title_full_unstemmed | Input-to-State Stability of Nonlinear Switched Systems via Lyapunov Method Involving Indefinite Derivative |
| title_short | Input-to-State Stability of Nonlinear Switched Systems via Lyapunov Method Involving Indefinite Derivative |
| title_sort | input to state stability of nonlinear switched systems via lyapunov method involving indefinite derivative |
| url | http://dx.doi.org/10.1155/2018/8701219 |
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