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This paper discusses the stability analysis of linear parameter varyingsystems with a parameter-dependent delay where the parameters are assumed to bestochastic piecewise constants under spontaneous Poissonian jumps. Based onstochastic Lyapunov-Krasovskii functionals, we also provide sufficientsynthesis conditions for the gain-scheduled state-feedback controller withmemory in terms of parameter-dependent linear matrix inequalities (LMIs). Suchsynthesis conditions are computationally intractable due to the presence ofintegral terms. However, we show that these LMIs can be equivalentlyrepresented by integral-free LMIs, which are computationally tractable.Finally, we illustrate the applicability of the results through examples.

Stability Analysis and State-Feedback Stabilization of LPV Time-Delay  Systems with Piecewise Constant Parameters subject to Spontaneous Poissonian  Jumps