Archives of Electrical Engineering | |
Inverse systems of linear systems | |
Tadeusz Kaczorek1  | |
关键词: inverse; linear; positive system; reachability; stability; | |
DOI : 10.2478/s10171-010-0016-x | |
来源: Versita | |
【 摘 要 】
The concept of inverse systems for standard and positive linear systems is introduced. Necessary and sufficient conditions for the existence of the positive inverse system for continuous-time and discrete-time linear systems are established. It is shown that: 1) The inverse system of continuous-time linear system is asymptotically stable if and only if the standard system is asymptotically stable. 2) The inverse system of discrete-time linear system is asymptotically stable if and only if the standard system is unstable. 3) The inverse system of continuous-time and discrete-time linear systems are reachable if and only if the standard systems are reachable. The considerations are illustrated by numerical examples.
【 授权许可】
Unknown
【 预 览 】
Files | Size | Format | View |
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RO201912010188464ZK.pdf | 303KB | download |