[1]ZHANG Xiaoyu,LI Ping.Matrix search algorithm of robust common quadratic Lyapunov function for switched systems[J].CAAI Transactions on Intelligent Systems,2017,12(6):899-905.[doi:10.11992/tis.201605012]
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Matrix search algorithm of robust common quadratic Lyapunov function for switched systems
CAAI Transactions on Intelligent Systems[ISSN 1673-4785/CN 23-1538/TP] Volume:
12
Number of periods:
2017 6
Page number:
899-905
Column:
学术论文—机器学习
Public date:
2017-12-25
- Title:
- Matrix search algorithm of robust common quadratic Lyapunov function for switched systems
- Keywords:
- switched system; uncertain; common Lyapunov function; quadratic Lyapunov function; control; robust; stability; LMI
- CLC:
- TP273
- DOI:
- 10.11992/tis.201605012
- Abstract:
- To obtain a searching algorithm for the common quadratic Lyapunov function (CQLF) of an uncertain switched system (SS), the concept of the common robust quadratic Lyapunov function (CRQLF) is proposed. In addition, sufficient conditions for the CRQLF, and its corresponding recurrence search algorithm method in LMI forms, are obtained using a matrix inequality analysis when the stable matrix set is both involuntary and voluntary. These results enable easy computer implementation, and are valuable for making robust stability judgments of uncertain SSs. Furthermore, the application simulation test certificates their validity.
- References:
-
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Last Update:
2018-01-03