Open AccessExponential stability analysis and stabilization for discrete positive switched linear time-delay systems with ADT
Author(s) -
Binbin Du,
Shuyan Hao,
Chao Lv
Publication year - 2019
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/1324/1/012029
Subject(s) - dwell time , control theory (sociology) , exponential stability , stability (learning theory) , mathematics , exponential growth , linear system , state (computer science) , exponential function , discrete time and continuous time , computer science , nonlinear system , algorithm , mathematical analysis , statistics , control (management) , physics , medicine , clinical psychology , quantum mechanics , artificial intelligence , machine learning
In this paper, the stability analysis and stabilization problem for discrete positive switched linear time delay system with average dwell time switching are investigated. First, by constructing an appropriate multiple linear co-positive type Lyapunov-Krasovskii functional, sufficient condition for the exponential stability are developed by using ADT approach. Then based on the result obtained a linear feedback law is established for the system to make the state exponentially stable.