Stochastic stability properties of jump linear systems

X Feng, KA Loparo, Y Ji… - IEEE transactions on …, 1992 - ieeexplore.ieee.org
Jump linear systems are defined as a family of linear systems with randomly jumping
parameters (usually governed by a Markov jump process) and are used to model systems …

Output feedback control of Markov jump linear systems in continuous-time

DP De Farias, JC Geromel, JBR Do Val… - IEEE Transactions on …, 2000 - ieeexplore.ieee.org
This paper addresses the dynamic output feedback control problem of continuous-time
Markovian jump linear systems. The fundamental point in the analysis is an LMI …

[图书][B] Continuous-time Markov chains and applications: a singular perturbation approach

GG Yin, Q Zhang - 2012 - books.google.com
This book is concerned with continuous-time Markov chains. It develops an integrated
approach to singularly perturbed Markovian systems, and reveals interrelations of stochastic …

[图书][B] Deterministic and stochastic time delay systems

EK Boukas, ZK Liu, WS Levine - 2002 - Springer
Most practical processes such as chemical reactor, industrial furnace, heat exchanger, etc.,
are nonlinear stochastic systems, which makes their con trol in general a hard problem …

[图书][B] Continuous-time Markov chains and applications: a two-time-scale approach

GG Yin, Q Zhang - 2012 - books.google.com
This book gives a systematic treatment of singularly perturbed systems that naturally arise in
control and optimization, queueing networks, manufacturing systems, and financial …

[图书][B] Discrete-time Markov chains: two-time-scale methods and applications

GG Yin, Q Zhang - 2005 - books.google.com
This book focuses on two-time-scale Markov chains in discrete time. Our motivation stems
from existing and emerging applications in optimization and control of complex systems in …

The H2-control for jump linear systems: cluster observations of the Markov state

JABR Do Val, JC Geromel, APC Gonçalves - Automatica, 2002 - Elsevier
The H2-norm control problem of discrete-time Markov jump linear systems is addressed in
this paper when part of, or the total of the Markov states is not accessible to the controller …

Robust state‐feedback stabilization of jump linear systems via LMIs

L El Ghaoui, MA Rami - International Journal of Robust and …, 1996 - Wiley Online Library
We consider a linear system subject to Markovian jumps, with a time‐varying, unknown‐but‐
bounded transition probability matrix. We derive LMI conditions ensuring various second …

Stochastic stabilization of a class of nonhomogeneous Markovian jump linear systems

S Aberkane - Systems & Control Letters, 2011 - Elsevier
This paper deals with the problem of stochastic stability analysis and control synthesis of a
class of Markovian jump linear systems (MJLS) with time-varying transition probabilities …

H∞ model reduction of Markovian jump linear systems

L Zhang, B Huang, J Lam - Systems & control letters, 2003 - Elsevier
In this paper, the H∞ model reduction problem for linear systems that possess randomly
jumping parameters is studied. The development includes both the continuous and discrete …