Characteristic equations and stability of linear systems with inverse state matrices
Journal Title: Autobusy. Technika, Eksploatacja, Systemy Transportowe - Year 2017, Vol 208, Issue 6
Abstract
The inverse of Frobenius matrices and the characteristic equations of the inverse systems are investigated. It is shown that the inverse system of continuous-time linear system is asymptotically stable if and only if the standard system is asymptotically stable and the inverse system of discrete-time linear system is asymptotically stable if and only if the standard system is unstable. The considerations are illustrated by numerical examples.
Authors and Affiliations
Tadeusz Kaczorek
Keywords
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