An improved stability criterion for discrete-time Lur'e systems with time-varying delay

A stability problem about Lur'e systems is analysed in this paper. The Lur'e systems has characteristics of time-varying delay, discrete time and sector-bounded nonlinearities. This paper proposes a improved Lyapunov-Krasovskii(L-K) functional and this L-K functional introduce nonlinear term f(sigma(k)) and f(sigma(k + 1)). Further, by employing unequal-width delay decomposition technique, and utilizing the reciprocally convex approach and some inequality technique, a stability criterion for is proposed in this paper to see eq.(1). The criterion proposed in this paper can be proved that is less conservative than previous.