Dwell-time based stability conditions for a class of LPV systems with piecewise constant parameters under time-varying delay are derived using clock-dependent Lyapunov-Krasovskii functional. Sufficient synthesis conditions for clock-dependent gain-scheduled state-feedback controllers ensuring L-2-performance are also provided. Several numerical and practical examples, to illustrate the efficacy of the results, are given. (C) 2020 Elsevier B.V. All rights reserved.