4 papers
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…
Continuity of Filters for Discrete-Time Control Problems Defined by Explicit Equations
Eugene A. Feinberg, Sayaka Ishizawa, Pavlo O. Kasyanov +1
Discrete time control systems whose dynamics and observations are described by stochastic equations are common in engineering, operations research, health care, and economics. For…
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}…
Chain recurrence and structure of omega-limit sets of multivalued semiflows
Oleksiy V. Kapustyan, Pavlo O. Kasyanov, José Valero
We study properties of !-limit sets of multivalued semiflows like chain recurrence or the existence of cyclic chains. First, we prove that under certain conditions the omega-limit…