Viability theory
A uniform Tauberian theorem in dynamic programming
Mathematics of Operations Research
Continuous-time Markov chains and applications: a singular perturbation approach
Continuous-time Markov chains and applications: a singular perturbation approach
Singular Perturbation Methods in Control: Analysis and Design
Singular Perturbation Methods in Control: Analysis and Design
Viability, Invariance and Applications
Viability, Invariance and Applications
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We investigate the limit of the average value of an optimal control problem when the horizon converges to infinity. For this aim, we suppose suitable nonexpansive-like assumptions which does not imply that the limit is independent of the initial state, as is usually done in the literature.