Open AccessStability Analysis for Discrete-Time Markovian Jump Systems With Time-Varying Delay: A Homogeneous Polynomial Approach
Author(s) -
Xin Li,
Xian Zhang,
Xin Wang
Publication year - 2017
Publication title -
ieee access
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.587
H-Index - 127
ISSN - 2169-3536
DOI - 10.1109/access.2017.2775606
Subject(s) - aerospace , bioengineering , communication, networking and broadcast technologies , components, circuits, devices and systems , computing and processing , engineered materials, dielectrics and plasmas , engineering profession , fields, waves and electromagnetics , general topics for engineers , geoscience , nuclear engineering , photonics and electrooptics , power, energy and industry applications , robotics and control systems , signal processing and analysis , transportation
This paper is concerned with the stochastic stability problem for discrete-time Markovian jump systems (DTMJSs) with time-varying delays. Two cases are discussed in the main results. On the one hand, it is assumed that the transition probability can be known. In this case, by constructing the Lyapunov-Krasovskii functional and using some summation inequalities to estimate its forward difference, a new stochastic stability criterion of DTMJSs can be obtained, which has less conservatism than existing results. On the other hand, by utilizing the homogeneous polynomial approach, the novel delay-dependent stability condition of DTMJSs with uncertain transition probability is proposed. Finally, the results of numerical simulations demonstrate the effectiveness of the proposed methods.
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