Positive fractional continuous-time linear systems with singular pencils

By Tadeusz Kaczorek. 2012

62 citations recorded by the source corpus.

A method for checking the positivity and finding the solution to the positive fractional descriptor continuous-time linear systems with singular pencils is proposed. The method is based on elementary row and column operations of the fractional descriptor systems to equivalent standard systems with some algebraic constraints on state variables and inputs. Necessary and sufficient conditions for the positivity of the fractional descriptor systems are established.

Subfields: Control and Systems Engineering

View Paper: https://www.semanticscholar.org/paper/8e9ffdcf740b2c63f1c00533143b2ba5fbbb2700

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In Control and Systems Engineering

1. Adam Czornik
2. Jerzy Klamka
3. Michal Niezabitowski

Citations in the corpus

• Stability and controllability of switched systems (2013, background): “Also, it would be very interesting to extend the reported results on fractional order systems [74] or positive systems [75].”
• Controllability of dynamical systems. A survey (2013, background): “Mathematical fundamentals of fractional calculus and fractional differential and difference equations are given in the monographs [60], and in the related papers [55-59].”