Stability and stabilizability of linear time-delay systems on homogeneous time scales

被引：2
|
作者：
Belikov, Juri [1 ]
Bartosiewicz, Zbigniew [2 ]
机构：
[1] Tallinn Univ Technol, Sch Informat Technol, Dept Comp Syst, Ehitajate Tee 5, EE-19086 Tallinn, Estonia
[2] Bialystok Univ Thchnol, Fac Comp Sci, Wiejska 45a, PL-15351 Bialystok, Poland
来源：
PROCEEDINGS OF THE ESTONIAN ACADEMY OF SCIENCES | 2017年 / 66卷 / 02期
关键词：
linear control system; time scales; time delay; stability;
D O I：
10.3176/proc.2017.2.02
中图分类号：
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
This paper provides necessary and sufficient conditions for the exponential stability of a linear retarded time-delay system defined on a homogeneous time scale. Conditions are formulated in terms of a characteristic equation associated with the system. This approach is then used to develop feedback stabilizability criteria.
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页码：124 / 136
页数：13
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