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This paper studies mean square and almost sure consensus of discrete-time second-order multi-agent systems with time-delays and multiplicative noises in the information exchange with neighbors. By using the stochastic stability theorem of discrete-time stochastic delay systems, we find sufficient conditions for mean square and almost sure consensus explicitly related to the network and control parameters...
In this work, stochastic consensus of linear multi-agent systems with multiplicative measurement noises is investigated under undirected graphs. Based on the algebraic graph theory and the matrix theory, the consensus problem is converted into the stochastic stability problem of stochastic differential equations (SDEs) driven by multiplicative noises. Then by stochastic stability theorem for SDEs,...
This work is concerned with stochastic consensus of multi-agent systems with additive measurement noises, where the information exchange among agents is described by a directed graph. By combining the algebraic graph theory, matrix theory and stochastic analysis, the stochastic weak and strong consensus are examined. For the case with general digraphs, we give the necessary and sufficient conditions...
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