Robust decentralized stabilization for large-scale systems with multiple time-varying delays and nonlinear uncertainties
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KünyeXiaozhi, L., Dimirovski, G.M., Yuanwei, J., Siying, Z. (2003). Robust decentralized stabilization for large-scale systems with multiple time-varying delays and nonlinear uncertainties. In Proceedings of 2003 IEEE Conference on Control Applications, 2003. CCA 2003,(2),(pp. 1323-1326). IEEE. http://dx.doi.org/10.1109/CCA.2003.1223203.
In this paper, the problem of the robust stabilization for a class of uncertain large-scale systems with multiple time-varying delays is investigated. The uncertainties are nonlinear time-varying and do not require a matching condition. The memoryless state-feedback controller for the robust stabilization of the systems is proposed. Based on the Lyapunov method, a sufficient condition for the stability is derived in terms of a linear matrix inequality (LMI). A numerical example is given to illustrate the proposed method.