Dissipativity of T-periodic linear systems

被引:14
|
作者
Yakubovich, Vladimir A. [1 ]
Fradkov, Alexander L.
Hill, David J.
Proskurnikov, Anton V.
机构
[1] St Petersburg State Univ, Dept Theoret Cybernet, St Petersburg 199034, Russia
[2] Russian Acad Sci, Inst Problems Mech Engn, St Petersburg 199178, Russia
[3] Australian Natl Univ, Dept Informat Engn, Res Sch Informat Sci & Engn, Canberra, ACT 0200, Australia
关键词
D O I
10.1109/TAC.2007.899013
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
It is proved that the existence of a positive-definite storage function is necessary and sufficient for strict dissipativity of linear systems with periodic coefficients. The connection between strict dissipativity of the system and a nonoscillatory property of an associated Hamiltonian system is established.
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页码:1039 / 1047
页数:9
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