Stability and Stabilization for Polytopic LPV Systems with Parameter-Varying Time Delays

Fu Chen, Shugui Kang and Fangyuan Li

Mathematical Problems in Engineering, 2019, vol. 2019, 1-12

Abstract:

In this paper, we deal with the problem of stability and stabilization for linear parameter-varying (LPV) systems with time-varying time delays. The uncertain parameters are assumed to reside in a polytope with bounded variation rates. Being main difference from the existing achievements, the representation of the time derivative of the time-varying parameter is under a polytopic structure. Based on the new representation, delay-dependent sufficient conditions of stability and stabilization are, respectively, formulated in terms of linear matrix inequalities (LMI). Simulation examples are then provided to confirm the effectiveness of the given approach.

Date: 2019
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:4924963

DOI: 10.1155/2019/4924963

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