Robust Control for Uncertain Switched Systems with Interval Nondifferentiable Time-Varying Delays
This paper addresses the conditions for robust stabilization of a class of uncertain switched systems with delay. The system to be considered is autonomous and the state delay is time-varying. Using Lyapunov functional approach, restriction on the derivative of time-delay function is not required to...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Hindawi Limited
2012-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2012/718618 |
| Summary: | This paper addresses the conditions for robust stabilization of a class of uncertain
switched systems with delay. The system to be considered is autonomous and the state
delay is time-varying. Using Lyapunov functional approach, restriction on the derivative
of time-delay function is not required to design switching rule for the robust stabilization
of switched systems with time-varying delays. The delay-dependent stability conditions
are presented in terms of the solution of LMIs which can be solved by various available
algorithms. A numerical example is given to illustrate the effectiveness of theoretical
results. |
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| ISSN: | 1110-757X 1687-0042 |