On stability of non-linear and switched parabolic systems
- Author(s): Hao Yang 1 and Bin Jiang 1
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View affiliations
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Affiliations:
1:
College of Automation Engineering, Nanjing University of Aeronautics and Astronautics, 29 YuDao Street, Nanjing 210016, People's Republic of China
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Affiliations:
1:
College of Automation Engineering, Nanjing University of Aeronautics and Astronautics, 29 YuDao Street, Nanjing 210016, People's Republic of China
- Source:
Volume 7, Issue 5,
21 March 2013,
p.
749 – 756
DOI: 10.1049/iet-cta.2012.0752 , Print ISSN 1751-8644, Online ISSN 1751-8652
© The Institution of Engineering and Technology
Received
21/09/2012,
Accepted
07/01/2013,
Revised
04/12/2012,
Published
This study investigates the stability of non-linear parabolic systems. Several stability conditions based on separable Lyapunov functions are provided. The new results are applied to switched non-linear parabolic systems with all stable modes or with unstable modes. An example of heat propagation control of semiconductor power chips is taken to illustrate the proposed methods.
Inspec keywords: Lyapunov methods; time-varying systems; nonlinear control systems
Other keywords: semiconductor power chip; switched nonlinear parabolic system; separable Lyapunov function; heat propagation control
Subjects: Nonlinear control systems; Stability in control theory; Time-varying control systems
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