Exponential convergence of multi-dimensional stochastic mechanical systems with switching

Author

Anulova, S.V. ; Veretennikov, A.Yu. ; Shcherbakov, P.S.

Author_Institution

Inst. for Control Sci., Moscow, Russia

fYear

2013

fDate

10-13 Dec. 2013

Firstpage

1217

Lastpage

1222

Abstract

This research stems from a control problem for a suspension device. For a general switching stochastic mechanical system with a closed-loop control we establish under the linear growth condition on coefficients, that: 1) there exists a unique solution of the system, with a strong Markov property; 2) a mixing condition in the local Markov-Dobrushin form holds; 3) the system is exponentially stochastic stable.

Keywords

Markov processes; asymptotic stability; mechanical variables control; stochastic systems; suspensions (mechanical components); time-varying systems; Markov property; Markov-Dobrushin form; closed-loop control; exponential convergence; exponentially stochastic stablility; general switching stochastic mechanical system; multidimensional stochastic mechanical systems; suspension device; Convergence; Markov processes; Mathematical model; Suspensions; Switches; Trajectory;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control (CDC), 2013 IEEE 52nd Annual Conference on

Conference_Location

Firenze

ISSN

0743-1546

Print_ISBN

978-1-4673-5714-2

Type

conf

DOI

10.1109/CDC.2013.6760048

Filename

6760048

Link To Document

https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=3524661