Title
Stability and ℓ<sub>1</sub>-Gain Analysis for Switched Positive Systems With MDADT Based on Quasi-Time-Dependent Approach
Abstract
This article is concerned with the exponential stability and ℓ <sub xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">1</sub> -gain performance analysis of discrete-time switched positive systems (DTSPSs) under mode-dependent average dwell time (MDADT) switching. A novel linear copositive Lyapunov function, which is both quasi-time-dependent and mode-dependent, is designed for the stability and performance analysis. Stability conditions are developed such that the considered DTSPS is exponentially stable and also attains an attenuation performance. The solved conditions for the controllers design are presented in terms of linear programming (LP), and are both quasi-time-dependent and mode-dependent. Two examples are organized to validate the effectiveness of the proposed scheme finally.
Year
DOI
Venue
2021
10.1109/TSMC.2019.2956567
IEEE Transactions on Systems, Man, and Cybernetics: Systems
Keywords
DocType
Volume
Controller synthesis,ℓ₁-gain,quasi-time-dependent,switched positive systems (SPSs)
Journal
51
Issue
ISSN
Citations 
9
2168-2216
1
PageRank 
References 
Authors
0.35
24
3
Name
Order
Citations
PageRank
Xiaoli Li17611.26
Sheng-Li Du2709.17
Xudong Zhao3202794.90