This paper addresses the problem of absolute stability of Lurie system with interval time-varying delay. The delay range is divided into two equal segments and an appropriate Lyapunov–Krasovskii functional (LKF) is defined. A tighter bounding technique for the derivative of LKF is developed. This bounding technique in combination with the Wirtinger inequality is used to develop the absolute stability criterion in terms of linear matrix inequalities (LMIs). The stability analysis is also extended to the Lurie system with norm-bounded parametric uncertainties. The effectiveness of the proposed approach has been illustrated through a numerical example and Chua's oscillator.
Robust Absolute Stability Criteria for Uncertain Lurie System With Interval Time-Varying Delay
Contributed by the Dynamic Systems Division of ASME for publication in the JOURNAL OF DYNAMIC SYSTEMS, MEASUREMENT, AND CONTROL. Manuscript received August 3, 2012; final manuscript received February 9, 2014; published online April 28, 2014. Assoc. Editor: Sean Brennan.
- Views Icon Views
- Share Icon Share
- Cite Icon Cite
- Search Site
Mukhija, P., Narayan Kar, I., and Bhatt, R. K. P. (April 28, 2014). "Robust Absolute Stability Criteria for Uncertain Lurie System With Interval Time-Varying Delay." ASME. J. Dyn. Sys., Meas., Control. July 2014; 136(4): 041020. https://doi.org/10.1115/1.4026872
Download citation file:
- Ris (Zotero)
- Reference Manager