Adaptive control of linear Markov jump systems

D Cheng, L Zhang - International journal of systems science, 2006 - Taylor & Francis
Stabilization of linear Markov jump systems via adaptive control is considered in this paper.
The switching law is assumed to be unobservable Markov process. A sufficient condition is …

On the stability of linear system with markovian jumping parameters

K Benjelloun, EK Boukas - … of 1995 34th IEEE Conference on …, 1995 - ieeexplore.ieee.org
This paper deals with the stability of a class of linear systems with Markovian jumping
parameters (LSMJP). The authors propose a transformation of the stochastic system to a …

Robust adaptive switching control for Markovian jump nonlinear systems via backstepping technique

J Zhu, H Xi, Q Ling, W Xie - Journal of Applied Mathematics, 2012 - Wiley Online Library
This paper investigates robust adaptive switching controller design for Markovian jump
nonlinear systems with unmodeled dynamics and Wiener noise. The concerned system is of …

Necessary and sufficient criteria for asynchronous stabilization of Markovian jump systems

C Guan, Z Fei, T Yang - Journal of the Franklin Institute, 2019 - Elsevier
This paper is concerned with asynchronous stabilization for a class of discrete-time
Markovian jump systems. The mode of designed controller is considered to be not perfectly …

Stability and stabilisation of Markovian jump systems under fast switching: an averaging approach

G Wang, Y Zhang, Y Ren - Journal of Control and Decision, 2023 - Taylor & Francis
This paper addresses the problems of stability and stabilisation of Markovian jump systems
(MJSs) with fast switching. First, a novel model by applying an averaging approach to the …

On the adaptive stabilization and ergodic behaviour of stochastic jump-Markov systems via nonlinear filtering

K Nassiri-Toussi, PE Caines - … of the 30th IEEE Conference on …, 1991 - ieeexplore.ieee.org
The authors propose an adaptive control method for a continuous-time linear stochastic
system with unobserved finite-state jump-Markov parameters (parameters constituting a …

Controller design for Markov jumping systems subject to actuator saturation

H Liu, EK Boukas, F Sun, DWC Ho - Automatica, 2006 - Elsevier
In this paper, the stochastic stabilization problem for a class of Markov jumping linear
systems (MJLS) subject to actuator saturation is considered. The concept of domain of …

Stochastic stabilization of Markovian jump systems with partial unknown transition probabilities and actuator saturation

Y Wang, Z Zuo, Y Cui - Circuits, Systems, and Signal Processing, 2012 - Springer
The stochastic stabilization problem of Markovian jump systems subject to both partial
unknown transition probabilities and actuator saturation is considered in this paper. Different …

Stabilizing control law for hybrid models

F Dufour, P Bertrand - IEEE transactions on automatic control, 1994 - ieeexplore.ieee.org
This note is concerned with the adaptive stabilizing control problem for jump-Markov
systems. A new control law is proposed based on a simple set of algebraic sufficient …

Intermittent stochastic stabilization of Markovian jump systems via sampled data

L Liu, J Cao, Z Wu - Journal of the Franklin Institute, 2022 - Elsevier
This paper is concerned with stochastic stabilization of Markovian jump systems. By using
some novel analysis technique, especially the established quasi time-homogeneous …