3 papers
math.OC2025
Drone Swarm Energy Management
Michael Z. Zgurovsky, Pavlo O. Kasyanov, Liliia S. Paliichuk
This note presents an analytical framework for decision-making in drone swarm systems operating under uncertainty, based on the integration of Partially Observable Markov Decision…
math.OC2025
Average-Cost MDPs with Infinite State and Action Sets: New Sufficient Conditions for Optimality Inequalities and Equations
Eugene A. Feinberg, Pavlo O. Kasyanov, Liliia S. Paliichuk
This paper studies discrete-time average-cost infinite-horizon Markov decision processes (MDPs) with Borel state and action sets. It introduces new sufficient conditions for { the}…
math.DS2016
Uniform Global Attractors for Non-Autonomous Dissipative Dynamical Systems
Michael Zgurovsky, Mark Gluzman, Nataliia Gorban +3
In this paper we consider sufficient conditions for the existence of uniform compact global attractor for non-autonomous dynamical systems in special classes of infinite-dimensiona…