[1] Bao Leping, Fei Shumin, Zhai Junyong,. Exponential stabilization of distributed parameter switched systemsunder dwell time constraints [J]. Journal of Southeast University (English Edition), 2013, 29 (4): 389-394. [doi:10.3969/j.issn.1003-7985.2013.04.007]

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Exponential stabilization of distributed parameter switched systemsunder dwell time constraints()

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Journal of Southeast University (English Edition)[ISSN:1003-7985/CN:32-1325/N]

Volumn:

29

Issue:

2013 4

Page:

389-394

Research Field:

Automation

Publishing date:

2013-12-20

Info

Title:

Exponential stabilization of distributed parameter switched systemsunder dwell time constraints

Author(s):

Bao Leping;  Fei Shumin;  Zhai Junyong

Key Laboratory of Measurement and Control of Complex Systems of Engineering of Ministry of Education, Southeast University, Nanjing 210096, China
School of Automation, Southeast University, Nanjing 210096, China

Keywords:

distributed parameter switched systems;  exponential stabilization;  multiple Lyapunov function;  linear operator inequalities;  dwell time

PACS:

TP13

DOI:

10.3969/j.issn.1003-7985.2013.04.007

Abstract:

The exponential stabilization problem for finite dimensional switched systems is extended to the infinite dimensional distributed parameter systems in the Hilbert space. Based on the semigroup theory, by applying the multiple Lyapunov function method, the exponential stabilization conditions are derived. These conditions are given in the form of linear operator inequalities where the decision variables are operators in the Hilbert space; while the stabilization properties depend on the switching rule. Being applied to the two-dimensional heat switched propagation equations with the Dirichlet boundary conditions, these linear operator inequalities are transformed into standard linear matrix inequalities. Finally, two examples are given to illustrate the effectiveness of the proposed results.

References:

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Memo

Memo:

Biographies: Bao Leping(1968—), female, graduate; Fei Shuming(corresponding author), male, doctor, professor, smfei@seu.edu.cn.
Foundation items: The National Natural Science Foundation of China(No.61273119, 61104068, 61374038), the Natural Science Foundation of Jiangsu Province(No.BK2011253).
Citation: Bao Leping, Fei Shumin, Zhai Junyong.Exponential stabilization of distributed parameter switched systems under dwell time constraints[J].Journal of Southeast University(English Edition), 2013, 29(4):389-394.[doi:10.3969/j.issn.1003-7985.2013.04.007]

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