Estimation and synthesis of reachable set for singular Markovian jump systems
type: Item
instance of: scholarly article
title: Estimation and synthesis of reachable set for singular Markovian jump systems
zbMATH Open document ID: 1398.93042
DOI: 10.1155/2018/5139840
author: Hui Liu
author: Yucai Ding
published in: Complexity
publication date: 2018-09-27T00:00:00Z
review text: Summary: The problems of reachable set estimation and state-feedback controller design are investigated for singular Markovian jump systems with bounded input disturbances. Based on the Lyapunov approach, several new sufficient conditions on state reachable set and output reachable set are derived to ensure the existence of ellipsoids that bound the system states and output, respectively. Moreover, a state-feedback controller is also designed based on the estimated reachable set. The derived sufficient conditions are expressed in terms of linear matrix inequalities. The effectiveness of the proposed results is illustrated by numerical examples.
Mathematics Subject Classification ID: 93B03
Mathematics Subject Classification ID: 93B50
Mathematics Subject Classification ID: 60J75
zbMATH DE Number: 6944909
zbMATH Keywords: reachable set estimation
zbMATH Keywords: state-feedback controller
zbMATH Keywords: singular Markovian jump systems
zbMATH Keywords: Lyapunov approach
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2018/5139840
OpenAlex ID: W2809752353
cites work: Robust control and filtering of singular systems.
cites work: On state feedback stabilization of singular systems with random abrupt changes
cites work: Stability and stabilization of continuous-time singular hybrid systems
cites work: State Estimation and Sliding-Mode Control of Markovian Jump Singular Systems
cites work: Stochastic stability analysis for discrete-time singular Markov jump systems with time-varying delay and piecewise-constant transition probabilities
cites work: Stabilization of Singular Markovian Jump Systems With Generally Uncertain Transition Rates
cites work: Sliding mode control for singular stochastic Markovian jump systems with uncertainties
cites work: Asymptotic stability in probability of singular stochastic systems with Markovian switchings
cites work: Finite-time dissipative control for singular discrete-time Markovian jump systems with actuator saturation and partly unknown transition rates
cites work: Ellipsoidal parameter or state estimation under model uncertainty
cites work: Linear Matrix Inequalities in System and Control Theory
cites work: On reachable sets for linear systems with delay and bounded peak inputs.
cites work: Improved ellipsoidal bound of reachable sets for time-delayed linear systems with disturbances
cites work: Reachable set bounding for delayed systems with polytopic uncertainties: the maximal Lyapunov-Krasovskii functional approach
cites work: On the reachable set bounding of uncertain dynamic systems with time-varying delays and disturbances
cites work: A note on reachable set bounding for delayed systems with polytopic uncertainties
cites work: Relaxed results on reachable set estimation of time-delay systems with bounded peak inputs
cites work: Improved reachable set bounding for linear time-delay systems with disturbances
cites work: A new approach to state bounding for linear time-varying systems with delay and bounded disturbances
cites work: Reachable set bounding for nonlinear perturbed time-delay systems: the smallest bound
cites work: Reachable set estimation for a class of nonlinear time-varying systems
cites work: Reachable set bounding for linear discrete-time systems with delays and bounded disturbances
cites work: Reachable set estimation for discrete‐time linear systems with time delays
cites work: On reachable set estimation of singular systems
cites work: On reachable set estimation of delay Markovian jump systems with partially known transition probabilities
cites work: Estimation and synthesis of reachable set for switched linear systems
cites work: Output Reachable Set Estimation for Switched Linear Systems and Its Application in Safety Verification
cites work: A novel approach to state bounding for discrete-time Markovian jump systems with interval time-varying delay
cites work: On reachable set estimation of two-dimensional systems described by the Roesser model with time-varying delays
cites work: Reachable set estimation and controller design for distributed delay systems with bounded disturbances
cites work: Estimation and synthesis of reachable set for discrete-time periodic systems
Wikidata QID: Q129631094
description: scientific article; zbMATH DE number 6944909