Delay-range-dependent stability criteria for delayed discrete-time Lur%26apos;e system with sector-bounded nonlinearities

作者：Duan Wenyong; Cai Chenxiao

来源：Nonlinear Dynamics, 2014, 78(1): 135-145.

DOI：10.1007/s11071-014-1427-9

• Discrete-time system
• Interval time delay
• Linear matrix inequality
• Lur'e system
• Robust stability
• Sector-bounded nonlinearity

This paper is devoted to the absolute and robust stability for uncertain discrete-time Lur'e systems with interval time-varying delays and sector-bounded nonlinearities. Both the cases with time-invariant and time-varying nonlinearities are considered. By dividing the variation interval of the time delays into some subintervals, some new delay-range-dependent robust stability criteria are derived in the form of linear matrix inequalities (LMIs) via a modified Lyapunov-Krasovskii functional (LKF) approach. The criteria are less conservative than some existing results. Finally, some numerical examples are presented to show the effectiveness of the proposed approach.

• 出版日期2014-10
• 单位南京理工大学