Calcul de Malliavin et régularité de la densité d'une probabilité invariante d'une chaîne de Markov
Concentration inequalities for Markov processes via coupling.
Cone-constrained linear equations in Banach spaces.
Consensus of heterogeneous multi-agent systems with uncertain DoS attack: Application to mobile stage vehicles
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...
Constant rate distributions on partially ordered sets.
Contribution pour servir à l'étude du choix que fit A. A. Markov d'un domaine d'application de sa théorie des chaînes
Contrôle des chaînes de Markov sur des espaces arbitraires
Convergence of iterates of Lasota-Mackey-Tyrcha operators
We provide sufficient and necessary conditions for asymptotic periodicity of iterates of strong Feller stochastic operators.
Covariance structure of wide-sense Markov processes of order k ≥ 1
A notion of a wide-sense Markov process of order k ≥ 1, , is introduced as a direct generalization of Doob’s notion of wide-sense Markov process (of order k=1 in our terminology). A base for investigation of the covariance structure of is the k-dimensional process . The covariance structure of is considered in the general case and in the periodic case. In the general case it is shown that iff is a k-dimensional WM(1) process and iff the covariance function of has the triangular property....