Finite-Time Stability and H∞ Control of Linear Discrete-Time Delay Systems with Norm-Bounded Disturbances
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- Tuan, L.A. & Phat, V.N. Acta Math Vietnam (2016) 41: 481. doi:10.1007/s40306-015-0155-7
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This paper deals with the finite-time stability and H∞ control of linear discrete-time delay systems. The system under consideration is subject to interval time-varying delay and norm-bounded disturbances. Linear matrix inequality approach is used to solve the finite-time stability problem. First, new sufficient conditions are established for robust finite-time stability of the linear discrete-time delay system with norm-bounded disturbances, then the state feedback controller is designed to robustly finite-time stabilize the system and guarantee an adequate level of system performance. The delay-dependent sufficient conditions are formulated in terms of linear matrix inequalities (LMIs). Numerical examples are given to illustrate the effectiveness of the proposed results.