A New Approach to Exact Slow-Fast Decomposition of Singularly Perturbed Linear Systems with Small Delays

被引:0
|
作者
Glizer, Valery Y. [1 ]
Feigin, Yuri [2 ]
Fridman, Emilia [2 ]
Margaliot, Michael [2 ]
机构
[1] Ort Braude Coll, Dept Math, POB 78, IL-2161002 Karmiel, Israel
[2] Tel Aviv Univ, Sch Elect Engn, IL-69978 Tel Aviv, Israel
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中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
A linear time-invariant singularly perturbed system with point-wise and distributed small time delays is considered. A direct approach to exact slow-fast decomposition of this system is proposed. Unlike the existing method, this approach does not require the asymptotic stability of the fast subsystem. Moreover, not requiring a complicated mathematical technique, this approach is much simpler for using in various engineering applications. An illustrative example is presented.
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页码:451 / 456
页数:6
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