Realization problem for positive linear systems with time delay.
Kaczorek, Tadeusz (2005)
Mathematical Problems in Engineering
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Displaying similar documents to “Computation of positive realizations for given impulse response matrices of discrete-time systems.”
Realization problem for positive linear systems with time delay.
Minimal realization for positive multivariable linear systems with delay
Tadeusz Kaczorek, Mikołaj Busłowicz (2004)
International Journal of Applied Mathematics and Computer Science
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The realization problem for positive multivariable discrete-time systems with one time delay is formulated and solved. Conditions for the solvability of the realization problem are established. A procedure for the computation of a minimal positive realization of a proper rational matrix is presented and illustrated by an example.
Bilateral polynomial equations with unimodular right-hand-side matrices
Tadeusz Kaczorek (2003)
International Journal of Applied Mathematics and Computer Science
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Necessary and sufficient conditions are established for the existence of a solution to some bilateral polynomial matrix equations with unimodular right-hand-side matrices. A procedure for the computation of the solution is derived and illustrated by a numerical example. Two examples of applications of bilateral polynomial matrix equations are presented.
On minimal realizations and minimal partial realizations of linear time-invariant systems subject to point incommensurate delays.
de la Sen, M. (2008)
Mathematical Problems in Engineering
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A modified state variable diagram method for determination of positive realizations of linear continuous-time systems with delays
Tadeusz Kaczorek (2012)
International Journal of Applied Mathematics and Computer Science
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A new modified state variable diagram method is proposed for determination of positive realizations of linear continuoustime systems with delays in state and input vectors. Using the method, it is possible to find a positive realization with reduced numbers of delays for a given transfer matrix. Sufficient conditions for the existence of positive realizations of given proper transfer matrices are established. The proposed method is demonstrated on numerical examples.
A reliable synthesis of discrete-time H_∞ control. Part I: basic theorems and J-lossless conjugators
Piotr Suchomski (2007)
Control and Cybernetics
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Forms of the Cayley-Hamilton theorem for generalized systems.
Mertzios, Basil G. (2003)
Acta Universitatis Apulensis. Mathematics - Informatics
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Externally and internally positive singular discrete-time linear systems
Tadeusz Kaczorek (2002)
International Journal of Applied Mathematics and Computer Science
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Notions of externally and internally positive singular discrete-time linear systems are introduced. It is shown that a singular discrete-time linear system is externally positive if and only if its impulse response matrix is non-negative. Sufficient conditions are established under which a single-output singular discrete-time system with matrices in canonical forms is internally positive. It is shown that if a singular system is weakly positive (all matrices E, A, B, C are non-negative),...
On the parametric solution to the second-order Sylvester matrix equation .
Wang, Guo-Sheng, Lv, Qiang, Duan, Guang-Ren (2007)
Mathematical Problems in Engineering
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Positive stable realizations of fractional continuous-time linear systems
Tadeusz Kaczorek (2011)
International Journal of Applied Mathematics and Computer Science
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Conditions for the existence of positive stable realizations with system Metzler matrices for fractional continuous-time linear systems are established. A procedure based on the Gilbert method for computation of positive stable realizations of proper transfer matrices is proposed. It is shown that linear minimum-phase systems with real negative poles and zeros always have positive stable realizations.