Inverse systems of linear systems

Archives of Electrical Engineering

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