[引用][C] Stochastic Differential Equations with Markovian Switching

X Mao - 2006 - books.google.com
This textbook provides the first systematic presentation of the theory of stochastic differential
equations with Markovian switching. It presents the basic principles at an introductory level …

Stability analysis of stochastic delay differential equations with Lévy noise

Q Zhu - Systems & Control Letters, 2018 - Elsevier
This paper is concerned with p th moment exponential stability problem for a class of
stochastic delay differential equations driven by Lévy processes. Several new stability …

A survey on Markovian jump systems: modeling and design

P Shi, F Li - International Journal of Control, Automation and …, 2015 - Springer
Markovian jump systems are a special class of hybrid and stochastic systems which can be
used to describe many real world applications, such as manufacturing systems, power …

Stability analysis for stochastic hybrid systems: A survey

AR Teel, A Subbaraman, A Sferlazza - Automatica, 2014 - Elsevier
This survey addresses stability analysis for stochastic hybrid systems (SHS), which are
dynamical systems that combine continuous change and instantaneous change and that …

Exponential stability of stochastic delay interval systems with Markovian switching

X Mao - IEEE Transactions on Automatic Control, 2002 - ieeexplore.ieee.org
In the past few years, a lot of research has been dedicated to the stability of interval systems
as well as the stability of systems with Markovian switching. However, little research has …

Stability analysis for a class of stochastic delay nonlinear systems driven by G-Brownian motion

Q Zhu, T Huang - Systems & Control Letters, 2020 - Elsevier
This paper is devoted to study the p th moment exponential stability problem for a class of
stochastic delay nonlinear systems (SDNSs) driven by G-Brownian motion. The delays …

Stabilisation of highly nonlinear hybrid stochastic differential delay equations by delay feedback control

X Li, X Mao - Automatica, 2020 - Elsevier
Given an unstable hybrid stochastic differential equation (SDDE, also known as an SDDE
with Markovian switching), can we design a delay feedback control to make the controlled …

Stabilization of continuous-time hybrid stochastic differential equations by discrete-time feedback control

X Mao - Automatica, 2013 - Elsevier
In this paper we are concerned with the mean-square exponential stabilization of continuous-
time hybrid stochastic differential equations (also known as stochastic differential equations …

Stability analysis of discrete-time semi-Markov jump linear systems with time delay

B Wang, Q Zhu, S Li - IEEE Transactions on Automatic Control, 2023 - ieeexplore.ieee.org
The stability and stabilization problems for discrete-time semi-Markov jump linear systems
with time delay are discussed. By virtue of a novel Lyapunov–Krasovskill functional and the …

Robust exponential stability of Markovian jump impulsive stochastic Cohen-Grossberg neural networks with mixed time delays

Q Zhu, J Cao - IEEE Transactions on Neural Networks, 2010 - ieeexplore.ieee.org
This paper is concerned with the problem of exponential stability for a class of Markovian
jump impulsive stochastic Cohen-Grossberg neural networks with mixed time delays and …