Białystok, Polonia
Purpose – The purpose of the paper is to propose a new method for checking the positivity and asymptotic stability of descriptor continuous‐time and discrete‐time linear systems.
Design/methodology/approach – The proposed method is based on the elementary operations applied to descriptor linear systems with regular pencils.
Findings – The descriptor systems with regular pencils are transformed to equivalent standard systems which are used for checking of the asymptotic stability of descriptor systems.
Originality/value – The paper proposes a new method for investigation of the positivity and asymptotic stability of descriptor continuous‐time and discrete‐time linear systems.
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