Stability analysis for stochastic differential equations with infinite Markovian switchings
type: Item
instance of: scholarly article
title: Stability analysis for stochastic differential equations with infinite Markovian switchings
zbMATH Open document ID: 1323.93071
author: Hongji Ma
author: Yingmin Jia
published in: Journal of Mathematical Analysis and Applications
publication date: 2015-11-18T00:00:00Z
Mathematics Subject Classification ID: 93E15
Mathematics Subject Classification ID: 60H10
Mathematics Subject Classification ID: 93D25
Mathematics Subject Classification ID: 93D20
Mathematics Subject Classification ID: 93C73
zbMATH DE Number: 6511575
zbMATH Keywords: stochastic differential equation
zbMATH Keywords: countably infinite Markov process
zbMATH Keywords: exponential stability
zbMATH Keywords: spectral criterion
zbMATH Keywords: \(L_2\) input-output stability
MaRDI profile type: Publication
full work available at URL: j.jmaa.2015.10.047
OpenAlex ID: W2189910507
cites work: Q3994587
cites work: On a Detectability Concept of Discrete-Time Infinite Markov Jump Linear Systems
cites work: Stochastic Stability of Jump Discrete-Time Linear Systems With Markov Chain in a General Borel Space
cites work: Criteria for exponential stability of linear differential equations with positive evolution on ordered Banach spaces
cites work: Mathematical Methods in Robust Control of Linear Stochastic Systems
cites work: Q5410179
cites work: Stochastic versus mean square stability in continuous time linear infinite Markov jump parameter systems
cites work: A Unified Approach for Stochastic and Mean Square Stability of Continuous-Time Linear Systems with Markovian Jumping Parameters and Additive Disturbances
cites work: Stochastic $H^\infty$
cites work: On Exponential Almost Sure Stability of Random Jump Systems
cites work: The asymptotic stability and exponential stability of nonlinear stochastic differential systems with Markovian switching and with polynomial growth
cites work: Input–output finite-time mean square stabilisation of stochastic systems with Markovian jump
cites work: Stochastic Differential Equations with Markovian Switching
cites work: AnH2-Type Norm of a Discrete-Time Linear Stochastic System with Periodic Coefficients Simultaneously Affected by an Infinite Markov Chain and Multiplicative White Noise Perturbations
cites work: On the detectability and observability of continuous stochastic Markov jump linear systems
cites work: Optimal control for infinite dimensional stochastic differential equations with infinite Markov jumps and multiplicative noise
cites work: Stability of discrete-time positive evolution operators on ordered Banach spaces and applications
cites work: Global solutions of a class of discrete-time backward nonlinear equations on ordered Banach spaces with applications to Riccati equations of stochastic control
cites work: Explicit solutions for an optimal stock selling problem under a Markov chain model
DOI: 10.1016/J.JMAA.2015.10.047
description: scientific article; zbMATH DE number 6511575