首页|Stabilization of hybrid stochastic differential delay equations by feedback control based on discrete-time state observation

Stabilization of hybrid stochastic differential delay equations by feedback control based on discrete-time state observation

扫码查看
原文链接
  • NETL
  • NSTL
  • Elsevier
© 2024 European Control AssociationFor an unstable hybrid stochastic differential delay equation， this paper designs a feedback control based on discrete-time state observation to make the controlled system become almost sure exponential stability。 In order to reveal the relationship between the two features contained in the system， namely， the dependence of duration between two consecutive observations on time-delay， the method of Lyapunov functional and auxiliary system are combined in this paper。 It is shown that the underlying system possesses almost sure exponential stability for sufficiently small time-interval between two consecutive observations。 Finally， an illustrative example is given to show the effectiveness of the proposed control strategy。

Almost sure exponential stabilityBrownian motionDiscrete-time state observationLyapunov functionalMarkov chainStochastic differential delay equations

Zhang Y.-Q.、Lv G.、Chen X.

展开 >

School of Mathematics and Statistics Nanjing University of Information Science and Technology

School of Mathematics and Statistics Nanjing University of Information Science and Technology||School of Mathematics and Computational Sciences Hunan University of Science and Technology

School of Mathematics and Statistics Northeast Normal University

2024

10.1016/j.ejcon.2024.101126

European journal of control

European journal of control

SCI
ISSN：0947-3580
年,卷(期)：2024.80(Pt.2)
  • 22