Stability analysis of impulsive switched singular systems
- Author(s): Guizhen Feng 1, 2 and Jinde Cao 3, 4
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View affiliations
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Affiliations:
1:
School of Automation, Southeast University, Nanjing 210096, People's Republic of China;
2: Department of Mathematics and Physics, Institute of Industry Technology, Nanjing 210046, People's Republic of China;
3: Department of Mathematics, Southeast University, Nanjing 210096, People's Republic of China;
4: Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah 21589, Saudi Arabia
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Affiliations:
1:
School of Automation, Southeast University, Nanjing 210096, People's Republic of China;
- Source:
Volume 9, Issue 6,
13 April 2015,
p.
863 – 870
DOI: 10.1049/iet-cta.2013.1142 , Print ISSN 1751-8644, Online ISSN 1751-8652
© The Institution of Engineering and Technology
Received
25/02/2014,
Accepted
12/09/2014,
Revised
01/09/2014,
Published
26/11/2014
This study investigates the exponential stability problems of singular impulsive switched systems. Using the switched Lyapunov function method and algebraic inequality, sufficient conditions are expressed as arbitrary and conditioned impulsive switching has been obtained. In addition, with the introduction of the impulsive controller, several exponential stability criteria are derived when the impulsive controllers are stabilising. Finally, two numerical examples are provided to illustrate the effectiveness of the proposed criteria.
Inspec keywords: time-varying systems; Lyapunov methods; stability criteria; asymptotic stability
Other keywords: sufficient conditions; impulsive controller stabilisation; switched Lyapunov function method; arbitrary conditioned impulsive switching; exponential stability criteria; impulsive switched singular systems; algebraic inequality
Subjects: Stability in control theory; Time-varying control systems
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