Positive observer design for positive delayed Markovian jump systems
type: Item
instance of: scholarly article
title: Positive observer design for positive delayed Markovian jump systems
zbMATH Open document ID: 1417.93315
DOI: 10.1155/2016/8085327
author: Guoliang Wang
published in: Discrete Dynamics in Nature and Society
publication date: 2019-02-20T00:00:00Z
review text: Summary: The positive observer design problem is considered for a class of positive delayed Markovian jump systems (PDMJSs). Firstly, a necessary and sufficient condition is established to check the positivity of delayed Markovian jump systems (DMJSs). Then, necessary and sufficient conditions for PDMJSs being asymptotically mean stable are established to be independent of time delay. Based on the proposed results, sufficient conditions for the existence of the desired positive observer gains including mode-independent case are provided. Additionally, more general cases that transition rate matrix (TRM) is partially unknown or uncertain are considered, respectively. Finally, a numerical example is used to demonstrate the effectiveness of the proposed methods.
Mathematics Subject Classification ID: 93E11
Mathematics Subject Classification ID: 34K60
zbMATH DE Number: 7026928
Wikidata QID: Q59123666
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2016/8085327
OpenAlex ID: W2506975059
cites work: Manufacturing Systems: LMI Approach
cites work: On robust stabilization of Markovian jump systems with uncertain switching probabilities
cites work: On Necessary and Sufficient Conditions for ${H}_{\infty }$ Output Feedback Control of Markov Jump Linear Systems
cites work: Design of \(H_\infty \) filter for Markov jumping linear systems with non-accessible mode information
cites work: Stability and stabilization of Markovian jump linear systems with partly unknown transition probabilities
cites work: Partially mode-dependent \(H_{\infty }\) filtering for discrete-time Markovian jump systems with partly unknown transition probabilities
cites work: Stabilization for Markovian jump systems with partial information on transition probability based on free-connection weighting matrices
cites work: RobustH∞control of Markovian jump systems with uncertain switching probabilities
cites work: Fault-tolerant control of Markovian jump stochastic systems via the augmented sliding mode observer approach
cites work: Analysis and Design of Singular Markovian Jump Systems
cites work: Exponential stability of stochastic delay interval systems with Markovian switching
cites work: Robust H∞ filtering for uncertain markovian jump systems with mode-dependent time delays
cites work: Delay-Dependent <formula formulatype="inline"><tex>$H_{\infty }$</tex> </formula> Control and Filtering for Uncertain Markovian Jump Systems With Time-Varying Delays
cites work: Robust Stability and Boundedness of Nonlinear Hybrid Stochastic Differential Delay Equations
cites work: Optimal filtering for networked systems with Markovian communication delays
cites work: Robust H ∞ filtering for singular time‐delayed systems with uncertain Markovian switching probabilities
cites work: Q4509145
cites work: Positive solutions of a discrete-time descriptor system
cites work: A Tutorial on the Positive Realization Problem
cites work: On the reachability in any fixed time for positive continuous-time linear systems
cites work: Stabilization of positive linear systems
cites work: Decay rate constrained stabilization of positive systems using static output feedback
cites work: Q3418772
cites work: Stability Analysis for Continuous-Time Positive Systems With Time-Varying Delays
cites work: Positivity of Continuous-Time Descriptor Systems With Time Delays
cites work: Stochastic stability of positive Markov jump linear systems
cites work: \(l_1\)-gain performance analysis and positive filter design for positive discrete-time Markov jump linear systems: a linear programming approach
cites work: <tex>$H_infty$</tex>Observer Design for Lipschitz Nonlinear Systems
cites work: Delayed Observers for Linear Systems With Unknown Inputs
cites work: Adaptive Robust State Observers for a Class of Uncertain Nonlinear Dynamical Systems With Delayed State Perturbations
cites work: Lyapunov-based adaptive state estimation for a class of nonlinear stochastic systems
cites work: Observer design for descriptor Markovian jumping systems with nonlinear perturbations
cites work: Observer-based H ∞ control for systems with repeated scalar nonlinearities and multiple packet losses
cites work: Observers for linear positive systems
cites work: On Linear Copositive Lyapunov Functions and the Stability of Switched Positive Linear Systems
description: scientific article; zbMATH DE number 7026928