Asymptotic stability of positive continuous-time linear systems with mutual state-feedbacks

Tadeusz Kaczorek


A new problem of asymptotic stability of positive continuous-time linear systems coupled by mutual state-feedbacks is formulated. It is shown that: 1) If one of the coupled systems is unstable then the closed-loop system is unstable for all gain matrices of the mutual state-feedbacks, 2) If at least one diagonal entry of the block diagonal matrices is positive then the closed-loop system is unstable for all gain matrices, 3) the possibility of modification of the dynamics of the closed-loop system by suitable choice of gain matrices is strongly limited. The considerations are illustrated by two examples.
Author Tadeusz Kaczorek (FoEE / ICIE) - [Politechnika Bialostocka]
Tadeusz Kaczorek,,
- The Institute of Control and Industrial Electronics
Journal seriesPrzegląd Elektrotechniczny, ISSN 0033-2097, (A 15 pkt)
Issue year2011
Publication size in sheets0.5
Keywords in Englishasymptotic stability; continuous-time; linear system; positive; mutual state feedback
ASJC Classification2208 Electrical and Electronic Engineering
Score (nominal)15
Publication indicators Scopus SNIP (Source Normalised Impact per Paper): 2014 = 0.454; WoS Impact Factor: 2011 = 0.244 (2)
Citation count*1 (2015-01-25)
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