Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
7108767 | Automatica | 2018 | 10 Pages |
Abstract
We study Max-Product and Max-Plus Systems with Markovian Jumps and focus on stochastic stability problems. At first, a Lyapunov function is derived for the asymptotically stable deterministic Max-Product Systems. This Lyapunov function is then adjusted to derive sufficient conditions for the stochastic stability of Max-Product systems with Markovian Jumps. Many step Lyapunov functions are then used to derive necessary and sufficient conditions for stochastic stability. The results for the Max-Product systems are then applied to Max-Plus systems with Markovian Jumps, using an isomorphism and almost sure bounds for the asymptotic behavior of the state are obtained. A numerical example illustrating the application of the stability results on a production system is also given.
Related Topics
Physical Sciences and Engineering
Engineering
Control and Systems Engineering
Authors
Ioannis Kordonis, Petros Maragos, George P. Papavassilopoulos,