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Delay-dependent robust stability and stabilisation for uncertain discrete singular systems with time-varying delays

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3 Author(s)
Ma, S. ; Shandong Univ., Jinan ; Cheng, Z. ; Zhang, C.

The robust stability and robust stabilisation problems for time-varying delay discrete singular systems with parameter uncertainties are discussed. A delay-dependent linear matrix inequality (LMI) condition to enable time-varying delay discrete standard state-space systems to be stable is given. Based on this condition and the restricted system equivalent transformation, the delay-dependent LMI condition is proposed for the time-varying delay discrete singular systems to be admissible. With this condition, the problems of robust stability and robust stabilisation are solved, and the delay-dependent LMI conditions are obtained. Numerical examples illustrate the effectiveness of the proposed method.

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Control Theory & Applications, IET  (Volume:1 ,  Issue: 4 )