In this paper, we consider the problem of delay-dependent stability of a class of discrete-time Lur'e systems with interval time-delay and sector-bounded nonlinearity using Lyapunov approach. By exploiting a candidate Lyapunov functional, and using slack matrix variables in the delay-dependent stability analysis, less conservative absolute and robust stability criteria are developed respectively for nominal and uncertain discrete-time Lur'e systems in terms of linear matrix inequalities (LMIs). For deriving robust stability conditions, time-varying norm-bounded uncertainties are considered in the system matrices. Finally, a numerical example is employed to demonstrate the effectiveness of the proposed results. © 2012 Springer-Verlag.
CITATION STYLE
Krishnan, R., & Ray, G. (2012). Delay-dependent stability criteria for uncertain discrete-time Lur’e systems with sector-bounded nonlinearity. In Communications in Computer and Information Science (Vol. 283 CCIS, pp. 210–219). https://doi.org/10.1007/978-3-642-28926-2_22
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