Journal ArticleDOI
Stochastic stability of Positive Markov Jump Linear Systems
TLDR
A new notion of stability (Exponential Mean stability) is introduced and is shown to be equivalent to the standard notion of 1-moment stability, and various sufficient conditions for Exponential Almost-Sure stability are worked out, with different levels of conservatism.About:
This article is published in Automatica.The article was published on 2014-04-01. It has received 198 citations till now. The article focuses on the topics: Linear stability & Stability (probability).read more
Citations
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Journal ArticleDOI
Passivity-Based Asynchronous Control for Markov Jump Systems
TL;DR: The design of asynchronous controller, which covers the well-known mode-independent controller and synchronous controller as special cases, is addressed and the DC motor device is applied to demonstrate the practicability of the derived asynchronous synthesis scheme.
Journal ArticleDOI
Slow State Variables Feedback Stabilization for Semi-Markov Jump Systems With Singular Perturbations
TL;DR: A new fairly comprehensive system model, semi-Markov jump system with singular perturbations, which is more general than Markov jump model is employed to describe the phenomena of random abrupt changes in structure and parameters of the systems.
Journal ArticleDOI
Stability and Stabilization of Discrete-Time Semi-Markov Jump Linear Systems via Semi-Markov Kernel Approach
TL;DR: A new stability concept generalizing the traditional mean-square stability is proposed such that numerically testable criteria on the basis of SMK are obtained.
Journal ArticleDOI
Quantized Nonstationary Filtering of Networked Markov Switching RSNSs: A Multiple Hierarchical Structure Strategy
TL;DR: This article addresses the quantized nonstationary filtering problem for networked Markov switching repeated scalar nonlinear systems (MSRSNSs), in which the correlation among modes of systems, quantizer, and controller are presented in terms of non stationary Markov process.
Journal ArticleDOI
Dissipativity-Based Reliable Control for Fuzzy Markov Jump Systems With Actuator Faults
TL;DR: A reliable dissipative control for fuzzy Markov jump systems is designed, with sufficient condition proposed for the existence of guaranteed stability and dissipativity controller.
References
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Book
Linear Matrix Inequalities in System and Control Theory
TL;DR: In this paper, the authors present a brief history of LMIs in control theory and discuss some of the standard problems involved in LMIs, such as linear matrix inequalities, linear differential inequalities, and matrix problems with analytic solutions.
Book
Nonnegative Matrices in the Mathematical Sciences
TL;DR: 1. Matrices which leave a cone invariant 2. Nonnegative matrices 3. Semigroups of non negative matrices 4. Symmetric nonnegativeMatrices 5. Generalized inverse- Positivity 6. M-matrices 7. Iterative methods for linear systems 8. Finite Markov Chains
Book
Feedback Systems: Input-output Properties
TL;DR: In this paper, the Bellman-Gronwall Lemma has been applied to the small gain theorem in the context of linear systems and convolutional neural networks, and it has been shown that it can be applied to linear systems.