Parameter-dependent robust stability of uncertain time-delay systems

Authors:
Huijun Gao;Peng Shi;Junling Wang
Affiliations:
Space Control and Inertial Technology Research Center, Harbin Institute of Technology, Harbin 150001, China;Space Control and Inertial Technology Research Center, Harbin Institute of Technology, Harbin 150001, China and School of Technology, University of Glamorgan, Pontypridd, CF37 1DL, UK;College of Nuclear Science and Technology, Harbin Engineering University, Nantong Street 145, Harbin 150001, China
Venue:
Journal of Computational and Applied Mathematics
Year:
2007

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Abstract

This paper presents a new delay-dependent and parameter-dependent robust stability criterion for linear continuous-time systems with polytopic parameter uncertainties and time-varying delay in the state. This criterion, expressed as a set of linear matrix inequalities, requires no matrix variable to be fixed for the entire uncertainty polytope, which produces a less conservative stability test result. Numerical examples are given to show the effectiveness of the proposed techniques.