Exponential Stability With L2-Gain Condition of Nonlinear Impulsive Switched Systems
In this technical note, we consider exponential stability and stabilization problems of a general class of nonlinear impulsive switched systems with time-varying disturbances. By using the switched Lyapunov function method, sufficient conditions expressed as algebraic inequality constraints and line...
| Main Authors: | , |
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| Format: | Journal Article |
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IEEE
2010
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| Online Access: | http://hdl.handle.net/20.500.11937/24332 |
| _version_ | 1848751398699663360 |
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| author | Xu, Honglei Teo, Kok Lay |
| author_facet | Xu, Honglei Teo, Kok Lay |
| author_sort | Xu, Honglei |
| building | Curtin Institutional Repository |
| collection | Online Access |
| description | In this technical note, we consider exponential stability and stabilization problems of a general class of nonlinear impulsive switched systems with time-varying disturbances. By using the switched Lyapunov function method, sufficient conditions expressed as algebraic inequality constraints and linear matrix inequalities are obtained. They ensure that the nonlinear impulsive switched systems are not only exponentially stable but also satisfy the L2-gain condition. Based on the stability results obtained, an effective computational method is devised for the construction of switched linear stabilizing feedback controllers. A numerical example is presented to illustrate the effectiveness of the results obtained. |
| first_indexed | 2025-11-14T07:52:06Z |
| format | Journal Article |
| id | curtin-20.500.11937-24332 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T07:52:06Z |
| publishDate | 2010 |
| publisher | IEEE |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-243322017-09-13T15:53:17Z Exponential Stability With L2-Gain Condition of Nonlinear Impulsive Switched Systems Xu, Honglei Teo, Kok Lay linear matrix inequality (LMI) nonlinear impulsive switched systems Exponentially stable In this technical note, we consider exponential stability and stabilization problems of a general class of nonlinear impulsive switched systems with time-varying disturbances. By using the switched Lyapunov function method, sufficient conditions expressed as algebraic inequality constraints and linear matrix inequalities are obtained. They ensure that the nonlinear impulsive switched systems are not only exponentially stable but also satisfy the L2-gain condition. Based on the stability results obtained, an effective computational method is devised for the construction of switched linear stabilizing feedback controllers. A numerical example is presented to illustrate the effectiveness of the results obtained. 2010 Journal Article http://hdl.handle.net/20.500.11937/24332 10.1109/TAC.2010.2060173 IEEE fulltext |
| spellingShingle | linear matrix inequality (LMI) nonlinear impulsive switched systems Exponentially stable Xu, Honglei Teo, Kok Lay Exponential Stability With L2-Gain Condition of Nonlinear Impulsive Switched Systems |
| title | Exponential Stability With L2-Gain Condition of Nonlinear Impulsive Switched Systems |
| title_full | Exponential Stability With L2-Gain Condition of Nonlinear Impulsive Switched Systems |
| title_fullStr | Exponential Stability With L2-Gain Condition of Nonlinear Impulsive Switched Systems |
| title_full_unstemmed | Exponential Stability With L2-Gain Condition of Nonlinear Impulsive Switched Systems |
| title_short | Exponential Stability With L2-Gain Condition of Nonlinear Impulsive Switched Systems |
| title_sort | exponential stability with l2-gain condition of nonlinear impulsive switched systems |
| topic | linear matrix inequality (LMI) nonlinear impulsive switched systems Exponentially stable |
| url | http://hdl.handle.net/20.500.11937/24332 |