Exponential Stability With L2-Gain Condition of Nonlinear Impulsive Switched Systems
dc.contributor.author | Xu, Honglei | |
dc.contributor.author | Teo, Kok Lay | |
dc.date.accessioned | 2017-01-30T12:42:15Z | |
dc.date.available | 2017-01-30T12:42:15Z | |
dc.date.created | 2011-03-28T20:02:05Z | |
dc.date.issued | 2010 | |
dc.identifier.citation | Xu, Honglei and Teo, Kok Lay. 2010. Exponential Stability With L2-Gain Condition of Nonlinear Impulsive Switched Systems. IEEE Transactions on Automatic Control. 55 (10): pp. 2429-2433. | |
dc.identifier.uri | http://hdl.handle.net/20.500.11937/24332 | |
dc.identifier.doi | 10.1109/TAC.2010.2060173 | |
dc.description.abstract |
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. | |
dc.publisher | IEEE | |
dc.subject | linear matrix inequality (LMI) | |
dc.subject | nonlinear impulsive switched systems | |
dc.subject | Exponentially stable | |
dc.title | Exponential Stability With L2-Gain Condition of Nonlinear Impulsive Switched Systems | |
dc.type | Journal Article | |
dcterms.source.volume | 55 | |
dcterms.source.startPage | 2429 | |
dcterms.source.endPage | 2433 | |
dcterms.source.issn | 0018-9286 | |
dcterms.source.title | IEEE Transactions on Automatic Control | |
curtin.note |
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curtin.department | Department of Mathematics and Statistics | |
curtin.accessStatus | Open access |