This paper discusses a 'scenario' approach to prove decay-rate stability of discrete-time polytopic linear parameter-varying systems, dealing with sets of sequences of vertex models of different length. When all sequences have the same length, parameter-trajectory dependent results in earlier literature are obtained as particular cases. The approach in this paper discusses 'classical' stability, without the need of probabilistic ingredients present in other scenario-based ideas in literature. A numerical example shows that the proposal achieves a sensible tradeoff between proven performance and computing requirements. (C) 2019 Elsevier Ltd. All rights reserved.