Stability of descriptor positive linear systems.

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. [ABSTRACT FROM AUTHOR]