Finite-time boundedness of Markov jump system with piecewise-constant transition probabilities via dynamic output feedback control
type: Item
instance of: scholarly article
title: Finite-time boundedness of Markov jump system with piecewise-constant transition probabilities via dynamic output feedback control
zbMATH Open document ID: 1394.93351
DOI: 10.1155/2015/327947
author: Y. Aharonov
published in: Mathematical Problems in Engineering
publication date: 2018-08-27T00:00:00Z
review text: Summary: This paper first investigates the problem of finite-time boundedness of Markovian jump system with piecewise-constant transition probabilities via dynamic output feedback control, which leads to both stochastic jumps and deterministic switches. Based on stochastic Lyapunov functional, the concept of finite-time boundedness, average dwell time, and the coupling relationship among time delays, several sufficient conditions are established for finite-time boundedness and \(H_{\infty}\) filtering finite-time boundedness. The system trajectory stays within a prescribed bound. Finally, an example is given to illustrate the efficiency of the proposed method.
Mathematics Subject Classification ID: 93E15
Mathematics Subject Classification ID: 93D15
Mathematics Subject Classification ID: 60J27
zbMATH DE Number: 6926075
Wikidata QID: Q59118041
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2015/327947
OpenAlex ID: W2102523989
cites work: Analytical design of controllers in systems with random attributes. I: Solution view. Solution method
cites work: \(p\)th moment exponential stability of impulsive stochastic functional differential equations with Markovian switching
cites work: Stability and stabilization of Markovian jump linear systems with partly unknown transition probabilities
cites work: H∞control for discrete-time Markovian jump linear systems with partly unknown transition probabilities
cites work: Production and Inventory Rationing in a Make-to-Stock System With a Failure-Prone Machine and Lost Sales
cites work: Linear Matrix Inequalities in System and Control Theory
cites work: Adaptive synchronization under almost every initial data for stochastic neural networks with time-varying delays and distributed delays
cites work: \(H_{\infty}\) control of a class of discrete-time Markov jump linear systems with piecewise-constant TPs subject to average dwell time switching
cites work: Exponential H∞ filtering for uncertain discrete‐time switched linear systems with average dwell time: A µ‐dependent approach
cites work: Finite-time control of linear systems subject to parametric uncertainties and disturbances
cites work: Finite-time control of discrete-time linear systems
cites work: Finite-time stabilization and stabilizability of a class of controllable systems
cites work: Finite-time stabilization and boundedness of switched linear system under state-dependent switching
cites work: Finite-time \(H_\infty\) estimation for discrete-time Markov jump systems with time-varying transition probabilities subject to average Dwell time switching
cites work: Robust finite-time boundedness of \(H_{\infty}\) filtering for switched systems with time-varying delay
cites work: Robust finite-time \(H _{\infty}\) control for nonlinear jump systems via neural networks
cites work: \(H_\infty\) finite-time control for switched nonlinear discrete-time systems with norm-bounded disturbance
description: scientific article; zbMATH DE number 6926075