Global Exponential Stability and Stabilization of Fractional-Order Positive Switched Systems

In this paper, the index-1 notion for arbitrarily switched discrete-time linear singular systems (SDLS) has been introduced. Based on the Bohl exponents of SDLS as well as properties of associated positive switched systems, some necessary and sufficient conditions have been established for exponential stability.

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Stability and stabilization of positive switched systems under asynchronous switching

2014 International Conference on Mechatronics and Control (ICMC) ◽

10.1109/icmc.2014.7231576 ◽

2014 ◽

Cited By ~ 2

Author(s):

Junfeng Zhang ◽

Wei Zhang ◽

Xiushan Cai ◽

Zhengzhi Han

Keyword(s):

Switched Systems ◽

Asynchronous Switching ◽

Stability And Stabilization ◽

Positive Switched Systems

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Global exponential stability of switched systems with interval time-varying delays and multiple non-linearities via simple switching signal design

IMA Journal of Mathematical Control and Information ◽

10.1093/imamci/dnv031 ◽

2015 ◽

Vol 33 (4) ◽

pp. 1135-1155 ◽

Cited By ~ 9

Author(s):

Chang-Hua Lien ◽

Ker-Wei Yu ◽

Jenq-Der Chen ◽

Long-Yeu Chung

Keyword(s):

Exponential Stability ◽

Switched Systems ◽

Global Exponential Stability ◽

Time Varying ◽

Signal Design ◽

Interval Time ◽

Switching Signal

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Output Tracking Control for Fractional-Order Positive Switched Systems With Input Time Delay

IEEE Transactions on Circuits & Systems II Express Briefs ◽

10.1109/tcsii.2018.2871034 ◽

2019 ◽

Vol 66 (6) ◽

pp. 1013-1017 ◽

Cited By ~ 14

Author(s):

R. Sakthivel ◽

S. Mohanapriya ◽

C. K. Ahn ◽

H. R. Karimi

Keyword(s):

Time Delay ◽

Fractional Order ◽

Switched Systems ◽

Tracking Control ◽

Output Tracking ◽

Output Tracking Control ◽

Input Time ◽

Positive Switched Systems

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Positive impulsive observer design of fractional-order positive switched systems with mode-dependent average dwell time

Transactions of the Institute of Measurement and Control ◽

10.1177/0142331218777561 ◽

2018 ◽

Vol 41 (5) ◽

pp. 1340-1347 ◽

Cited By ~ 1

Author(s):

Leipo Liu ◽

Xiangyang Cao ◽

Zhumu Fu ◽

Shuzhong Song ◽

Hao Xing

Keyword(s):

Linear Programming ◽

Fractional Order ◽

Switched Systems ◽

Dwell Time ◽

Sufficient Conditions ◽

Average Dwell Time ◽

Observer Design ◽

Exponentially Stable ◽

Error System ◽

Positive Switched Systems

This paper investigates the positive impulsive observer design of fractional-order positive switched systems with mode-dependent average dwell time (MDADT). By using the MDADT approach and the Lyapunov–Krasovskii functional technique, sufficient conditions are obtained to ensure the error system is globally exponentially stable. An algorithm is proposed to design the observer gain matrices via linear programming. Finally, two examples are provided to illustrate the effectiveness of the proposed method.

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