The paper presents necessary and sufficient conditions for the positivity and asymptotic stability of singular systems with regular pencils. A new method for checking the positivity and asymptotic stability of singular continuous and discrete linear systems with regular pencils is proposed. The proposed method is based on elementary operations on the pencils of these systems. In this method, singular systems are reduced to equivalent standard forms, which are then used to check the asymptotic stability of these singular systems.
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Source: Logistyka Magazine
Stability, positivity, singular systems, regular pencil. – PDF file for download