Descriptor fractional linear systems with regular pencils
نویسندگان
چکیده
منابع مشابه
Descriptor fractional linear systems with regular pencils
Methods for finding solutions of the state equations of descriptor fractional discrete-time and continuous-time linear systems with regular pencils are proposed. The derivation of the solution formulas is based on the application of the Z transform, the Laplace transform and the convolution theorems. Procedures for computation of the transition matrices are proposed. The efficiency of the propo...
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Descriptor (singular) linear systems have been considered in many papers and books (Bru et al., 2003; 2002; Choundhury, 1972; Campbell et al., 1976; Dai, 1989; Guang-Ren Duan, 2010; Kaczorek, 2013; 2011a; 2014b; 2004; 1992; 2014c; 2011c; 2011d; 2011e; Virnik, 2008). The eigenvalue and invariant assignment by state and output feedbacks was investigated by Kaczorek (2004; 2011d), along with minim...
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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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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 ...
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The optimal infinite-horizon output (or measurement) feedback H∞ control problem is one of the central tasks in robust control, see, e.g., [12, 13, 22, 28, 30]. For standard state space systems, where the dynamics of the system are modelled by a linear constant coefficient ordinary differential equation, the analysis of this problem is well studied and numerical methods have been developed and ...
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ژورنال
عنوان ژورنال: International Journal of Applied Mathematics and Computer Science
سال: 2013
ISSN: 2083-8492,1641-876X
DOI: 10.2478/amcs-2013-0023