# Asymptotic stability of stochastic LTV systems with applications to distributed dynamic fusion

arXiv: https://arxiv.org/abs/1412.8018 · HTML: https://mlsanity.com/paper/1412.8018/

## Key facts

- Cited by 1 papers in the map (data through 14 Oct 2026).
- First posted on arXiv 27 Dec 2014.

## Built on by (most cited first, 1 of 1)

- [D-SVM over Networked Systems with Non-Ideal Linking Conditions](https://mlsanity.com/paper/2304.06667/) (2023)

## Abstract (arXiv)

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.