Stabilization of Uncertain Systems with Both State and Control Delays. Issue 14 (2015)

• Record Type: Journal Article
• Authors: Gyurkovics, Éva
• Is Part Of: IFAC-PapersOnLine. Volume 48:Issue 14(2015)
• Page Start: 209
• Page End: 214
• Publication Date: 2015
• Subjects: Sampled-data systems -- Time-delay -- Lyapunov-Krasovskii functional -- Uncertain systems -- Robust stability -- LMI -- BMI; Automatic control -- Periodicals; 629.805
• DOI: 10.1016/j.ifacol.2015.09.459
• Languages: English
• ISSNs: 2405-8963

Abstract

Abstract: This paper is devoted to the stability and stabilization problem for uncertain and nonlinear systems with time-varying state delay and network induced control delay. The class of admissible uncertainties and nonlinearities of the system comprehends several types of uncertainties frequently investigated in the literature. Using some recent developments, new sufficient conditions are established for the analysis and the control design expressed by linear and bilinear matrix inequalities, respectively. These conditions are obtained via the Lyapunov-Krasovskii method. Numerical examples illustrate the effectiveness of the proposed method.