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Positivity and Stability of Time-Varying Discrete-Time Linear Systems

  • Tadeusz KaczorekEmail author
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 9011)

Abstract

The positivity and asymptotic stability of the time-varying discrete-time linear systems are addressed. Necessary and sufficient conditions for the positivity of the systems and sufficient conditions for asymptotic stability of the positive systems are established. The proposed stability tests are based on the norms of the system matrix. The effectiveness of the test are demonstrated on an example.

Keywords

Time-varying Positive Discrete-time Positive stability 

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Copyright information

© Springer International Publishing Switzerland 2015

Authors and Affiliations

  1. 1.Faculty of Electrical EngineeringBialystok University of TechnologyBialystokPoland

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