Cost Evaluation for Hybrid Inclusions: A Lyapunov Approach

Francesco Ferrante (1) , Ricardo G Sanfelice (2)

1 GIPSA-SYSCO - GIPSA - Systèmes non linéaires et complexité
2 UCSC Department of Computer Engineering - Computer Engineering Department

Cost evaluation problems for hybrid inclusions are studied. Sufficient conditions, in the form of Lyapunov-like inequalities, are provided to derive an upper bound on the cost associated with the solution to a hybrid inclusion with respect to a hybrid cost functional. Under additional sufficient conditions, we determine the cost exactly without computing solutions. Constructive results are proposed to solve cost evaluation problems in some relevant applications. Numerical examples are presented.

Domaines: Automatique

Francesco Ferrante, Ricardo G Sanfelice. Cost Evaluation for Hybrid Inclusions: A Lyapunov Approach. CDC 2018 - 57th IEEE Conference on Decision and Control, Dec 2018, Miami, FL, United States. pp.855-860, ⟨10.1109/CDC.2018.8619155⟩. ⟨hal-01850393v3⟩