Transfer matrices with positive coefficients of positive descriptor continuous-time linear systems
T Kaczorek, Ł Sajewski - … 2019: Progress in Automation, Robotics and …, 2020 - Springer
Automation 2019: Progress in Automation, Robotics and Measurement Techniques, 2020•Springer
Descriptor positive continuous-time linear system with transfer matrices having only positive
coefficients are analyzed. It is shown that if the positive descriptor system is asymptotically
stable then its transfer matrix has only positive coefficients. The realization problem for the
class of descriptor positive systems is formulated and solved. Considerations are illustrated
by numerical examples.
coefficients are analyzed. It is shown that if the positive descriptor system is asymptotically
stable then its transfer matrix has only positive coefficients. The realization problem for the
class of descriptor positive systems is formulated and solved. Considerations are illustrated
by numerical examples.
Abstract
Descriptor positive continuous-time linear system with transfer matrices having only positive coefficients are analyzed. It is shown that if the positive descriptor system is asymptotically stable then its transfer matrix has only positive coefficients. The realization problem for the class of descriptor positive systems is formulated and solved. Considerations are illustrated by numerical examples.
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