Positive fractional continuous-time linear systems with singular pencils
نویسنده
چکیده
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.
منابع مشابه
Application of the Drazin inverse to the analysis of descriptor fractional discrete-time linear systems with regular pencils
Descriptor (singular) linear systems were considered in many papers and books (Bru et al., 2000; 2002; 2003; Campbell et al., 1976; Dai, 1989; Dodig and Stosic, 2009; Fahmy and O’Reill, 1989; Kaczorek, 1992; 2004; 2007b; 2011a; 2011d; Van Dooren, 1979; Virnik, 2008). The eigenvalues and invariants assignment by state and output feedbacks were investigated by Fahmy and O’Reill (1989), Gantmacher...
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