Nazli Demir

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This paper presents a Markov chain based approach for the probabilistic density control of a large number, swarm, of autonomous agents. The proposed approach specifies the time evolution of the probabilistic density distribution by using a Markov chain, which guides the swarm to a desired steady-state distribution, while satisfying the prescribed(More)
This paper introduces a new approach for the synthesis of Markov chains with density upper bound constraints. The proposed approach is based on a new mathematical result that formulates the density upper bound constraints, known also as safety constraints, as linear, and hence convex, inequality constraints. It is proved that the new convex constraints are(More)
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