Asymptotic stability of stochastic LTV systems with applications to distributed dynamic fusion
For researchers in distributed systems and control theory, this work offers a theoretical stability analysis for a class of LTV systems, but it is incremental as it extends existing stability concepts to a specific application context.
The paper provides sufficient conditions for asymptotic stability of stochastic linear time-varying systems with (sub-)stochastic matrices, applied to distributed dynamic fusion over mobile agent networks. The conditions are expressed in terms of slice lengths and network parameters, and are validated through an illustrative example.
In this paper, we investigate asymptotic stability of linear time-varying systems with (sub-) stochastic system matrices. Motivated by distributed dynamic fusion over networks of mobile agents, we impose some mild regularity conditions on the elements of time-varying system matrices. We provide sufficient conditions under which the asymptotic stability of the LTV system can be guaranteed. By introducing the notion of slices, as non-overlapping partitions of the sequence of systems matrices, we obtain stability conditions in terms of the slice lengths and some network parameters. In addition, we apply the LTV stability results to the distributed leader-follower algorithm, and show the corresponding convergence and steady-state. An illustrative example is also included to validate the effectiveness of our approach.