activity
20152025
most citedChain recurrence and structure of omega-limit sets of multivalued semiflows

2 citations · 4 across the 4 of their papers we have counts for

collaborators

5 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.DS2025★ 2 cited

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…

math.OC2023★ 2 cited

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…

math.FA2015

Uniform Fatou's Lemma

Eugene A. Feinberg, Pavlo O. Kasyanov, Michael Z. Zgurovsky

Fatou's lemma is a classic fact in real analysis that states that the limit inferior of integrals of functions is greater than or equal to the integral of the inferior limit. This…