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Consensus of heterogeneous multi-agent systems with uncertain DoS attack: Application to mobile stage vehicles

Wen-Hai Yu, Hong-Jie Ni, Hui Dong, Dan Zhang (2020)

Kybernetika

In this paper, the consensus of heterogeneous multi-agent systems (MASs) with uncertain Deny-of-Service (DoS) attack strategies is studied. In our system, all agents are time synchronized and they communicate with each other with a constant sampling period normally. When the system is under attack, all agents use the hold-input mechanism to update the control protocol. By assuming that the attack duration is upper bounded and the occurrence of the attack follows a Markovian jumping process, the...

Conservation property of symmetric jump processes

Jun Masamune, Toshihiro Uemura (2011)

Annales de l'I.H.P. Probabilités et statistiques

Motivated by the recent development in the theory of jump processes, we investigate its conservation property. We will show that a jump process is conservative under certain conditions for the volume-growth of the underlying space and the jump rate of the process. We will also present examples of jump processes which satisfy these conditions.

Constrained optimality problem of Markov decision processes with Borel spaces and varying discount factors

Xiao Wu, Yanqiu Tang (2021)

Kybernetika

This paper focuses on the constrained optimality of discrete-time Markov decision processes (DTMDPs) with state-dependent discount factors, Borel state and compact Borel action spaces, and possibly unbounded costs. By means of the properties of so-called occupation measures of policies and the technique of transforming the original constrained optimality problem of DTMDPs into a convex program one, we prove the existence of an optimal randomized stationary policies under reasonable conditions.

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