Realisation of Continuous-Time (Fractional) Descriptor Linear Systems

2017 ◽  
pp. 204-214 ◽  
Author(s):  
Konrad Andrzej Markowski
Keyword(s):  
Linear Systems ◽  
Continuous Time ◽  
Descriptor Linear Systems

Positivity of descriptor linear systems with regular pencils

2012 ◽  
Vol 61 (1) ◽  
pp. 101-113 ◽  
Author(s):  
Tadeusz Kaczorek
Keyword(s):  
Linear Systems ◽  
Continuous Time ◽  
Positive Systems ◽  
Electrical Circuits ◽  
Numerical Examples ◽  
Standard Linear ◽  
Descriptor Linear Systems ◽  
The Relationship ◽  
Equivalent Conditions ◽  
Time Linear

Positivity of descriptor linear systems with regular pencilsThe positivity of descriptor continuous-time and discrete-time linear systems with regular pencils are addressed. Such systems can be reduced to standard linear systems and can be decomposed into dynamical and static parts. Two definitions of the positive systems are proposed. It is shown that the definitions are not equivalent. Conditions for the positivity of the systems and the relationship between two classes of positive systems are established. The considerations are illustrated by examples of electrical circuits and numerical examples.

scholarly journals Checking of the positivity of descriptor linear systems by the use of the shuffle algorithm

2011 ◽  
Vol 21 (3) ◽  
pp. 287-298 ◽  
Author(s):  
Tadeusz Kaczorek
Keyword(s):  
Linear Systems ◽  
Continuous Time ◽  
Equivalent Form ◽  
Sufficient Conditions ◽  
Necessary And Sufficient Conditions ◽  
Descriptor Systems ◽  
State Equations ◽  
Necessary And Sufficient ◽  
Descriptor Linear Systems ◽  
Time Linear

Checking of the positivity of descriptor linear systems by the use of the shuffle algorithmNecessary and sufficient conditions for the positivity of descriptor continuous-time and discrete-time linear systems are established. The shuffle algorithm is applied to transform the state equations of the descriptor systems to their equivalent form for which necessary and sufficient conditions for their positivity have been derived. A procedure for checking the positivity of the descriptor systems is proposed and illustrated by numerical examples.

scholarly journals Decentralized stabilization of fractional positive descriptor continuous-time linear systems

2018 ◽  
Vol 28 (1) ◽  
pp. 135-140 ◽  
Author(s):  
Tadeusz Kaczorek
Keyword(s):  
Linear Systems ◽  
Continuous Time ◽  
Sufficient Conditions ◽  
Necessary And Sufficient Conditions ◽  
Decentralized Stabilization ◽  
Numerical Example ◽  
Necessary And Sufficient ◽  
Descriptor Linear Systems ◽  
Time Linear

AbstractA method for decentralized stabilization of fractional positive descriptor linear systems is proposed. Necessary and sufficient conditions for decentralized stabilization of fractional positive descriptor linear systems are established. The efficiency of the proposed method is demonstrated on a numerical example.

scholarly journals Checking of the positivity of descriptor linear systems with singular pencils

2012 ◽  
Vol 22 (1) ◽  
pp. 77-86 ◽  
Author(s):  
Tadeusz Kaczorek
Keyword(s):  
Linear Systems ◽  
Discrete Time ◽  
Continuous Time ◽  
Sufficient Conditions ◽  
Necessary And Sufficient Conditions ◽  
Descriptor Systems ◽  
Necessary And Sufficient ◽  
Descriptor Linear Systems ◽  
Time Linear

Checking of the positivity of descriptor linear systems with singular pencilsA method for checking of the positivity of descriptor continuous-time and discrete-time linear systems with singular pencil is proposed. The method is based on elementary row and column operations on the matrices of descriptor systems. Necessary and sufficient conditions for the positivity of the descriptor systems are established.

Full-Column Rank Solutions to a Nonlinear Matrix Equation

2012 ◽  
Vol 490-495 ◽  
pp. 1265-1268 ◽  
Author(s):  
Yan Tao Wang ◽  
Xin Rong Yang ◽  
Rui Zhi Zhang
Keyword(s):  
Linear Systems ◽  
Matrix Equation ◽  
Continuous Time ◽  
Necessary Conditions ◽  
Full Rank ◽  
Full Column Rank ◽  
Nonlinear Matrix Equation ◽  
Sufficient And Necessary Conditions ◽  
Nonlinear Matrix ◽  
Descriptor Linear Systems

This paper concerns full-column rank solutions to the nonlinear matrix equation XA+XBX=HX, which is proposed from the so-called regulation problem of continuous-time (descriptor) linear systems with constrained states and controls. Sufficient and necessary conditions under which the nonlinear matrix equation has at least one full rank solution are investigated, and thereby, a mistake in [1] is pointed out by constructing a counterexample. Moreover, one full-column rank solutions to the nonlinear matrix equation is constructed.

Continuous-time Identification for a class of Switched Linear Systems

2020 ◽  
Author(s):  
Abdelhak Goudjil ◽  
Mathieu Pouliquen ◽  
Eric Pigeon ◽  
Olivier Gehan ◽  
Tristan Bonargent
Keyword(s):  
Linear Systems ◽  
Continuous Time ◽  
Switched Linear Systems
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