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• W3100144064 abstract "This paper deals with the certification problem for robust quadratic stability, robust state convergence, and robust quadratic performance of linear systems that exhibit bounded rates of variation in their parameters. We consider both continuous-time (CT) and discrete-time (DT) parameter-varying systems. In this paper, we provide a uniform method for this certification problem in both cases and we show that, contrary to what was claimed previously, the DT case requires a significantly different treatment compared to the existing CT results. In the established uniform approach, quadratic Lyapunov functions, which are affine in the parameter, are used to certify robust stability, robust convergence rates, and robust performance in terms of linear matrix inequality feasibility tests. To exemplify the procedure, we solve the certification problem for L <sub xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>2</sub> -gain performance both in the CT and the DT cases. A numerical example is given to show that the proposed approach is less conservative than a method with slack variables." @default.
• W3100144064 created "2020-11-23" @default.
• W3100144064 creator A5003656320 @default.
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• W3100144064 date "2018-11-01" @default.
• W3100144064 modified "2023-09-23" @default.
• W3100144064 title "Affine Parameter-Dependent Lyapunov Functions for LPV Systems With Affine Dependence" @default.
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• W3100144064 doi "https://doi.org/10.1109/tac.2018.2824982" @default.
• W3100144064 hasPublicationYear "2018" @default.
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