[PDF][PDF] Necessary and sufficient conditions for adaptive stablizability of jump linear systems

F Xue, L Guo - Communications in Information and Systems, 2001 - intlpress.com
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Comments on" Stochastic stability of jump linear systems"

OLV Costa, MD Fragoso - IEEE transactions on Automatic …, 2004 - ieeexplore.ieee.org
Comments on "Stochastic stability of jump linear systems" Page 1 1414 IEEE TRANSACTIONS
ON AUTOMATIC CONTROL, VOL. 49, NO. 8, AUGUST 2004 Comments on “Stochastic Stability …

A stability and contractiveness analysis of discrete-time Markovian jump linear systems

JW Lee, GE Dullerud - Automatica, 2007 - Elsevier
We propose performance criteria for discrete-time linear systems with Markov jumping
parameters. Exact convex conditions for internal stability and contractiveness of such …

Infimum data rates for stabilising Markov jump linear systems

GN Nair, S Dey, RJ Evans - … on Decision and Control (IEEE Cat …, 2003 - ieeexplore.ieee.org
In the past years, the problem of stabilising linear dynamical systems with low feedback data
rates has been intensively investigated. A particular focus has been the characterisation of …

Stability of Markov regenerative switched linear systems

M Ogura, VM Preciado - Automatica, 2016 - Elsevier
In this paper, we give a necessary and sufficient condition for mean stability of switched
linear systems having a Markov regenerative process as its switching signal. This class of …

A new proof to the necessity of a second moment stability condition of discrete‐time Markov jump linear systems with real states

Q Ling, H Deng - Journal of Applied Mathematics, 2012 - Wiley Online Library
This paper studies the second moment stability of a discrete‐time jump linear system with
real states and the system matrix switching in a Markovian fashion. A sufficient stability …

Markov jump linear systems with switching transition rates: Mean square stability with dwell-time

P Bolzern, P Colaneri, G De Nicolao - Automatica, 2010 - Elsevier
The stability of a class of Markov Jump Linear Systems characterized by piecewise-constant
transition rates and system dynamics is investigated. For these Switching Markov Jump …

Finite-time stability and stabilization of Markovian jump linear systems subject to incomplete transition descriptions

Y Bai, HJ Sun, AG Wu - International Journal of Control, Automation and …, 2021 - Springer
In this paper, the problems of finite-time stability analysis and finite-time stabilization are
investigated for Markovian jump linear systems with incomplete transition descriptions. Two …

Almost sure stability of Markov jump linear systems with deterministic switching

P Bolzern, P Colaneri… - IEEE Transactions on …, 2012 - ieeexplore.ieee.org
The technical note studies a class of linear systems whose piecewise-constant dynamic
matrix is subject to both stochastic jumps, governed by a Markov chain, and deterministic …

Sufficient conditions for almost sure stability of jump linear systems

ZG Li, YC Soh, CY Wen - IEEE Transactions on Automatic …, 2000 - ieeexplore.ieee.org
This paper derives less conservative conditions for almost-sure stability of jump linear
systems by using the stochastic version of Lyapunov's second method. To ensure the …