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Application of the shuffle algorithm to analysis of descriptor linear systems with singular pencil art angielski

Kaczorek T.

Autobusy : technika, eksploatacja, systemy transportowe

2013

R. 14, nr 3

1419-1434

A new method of analysis of descriptor continuous-time and discrete-time linear systems with singular pencil is proposed. The method is based on transformation of singular pencil by the use of the shuffle algorithm. Conditions for transformation of the descriptor linear systems to equivalent standard linear systems are established.

Podano nową metodę analizy deskryptowych liniowych układów ciągłych i dyskretnych z pękami singularnymi. Proponowana metoda jest oparta na redukcji deskryptowych układów o pękach singularnych do równoważnych układów standardowych za pomocą algorytmu przesuwania. Podano warunki istnienia tej redukcji oraz ilustrowano proponowaną metodę przykładem numerycznym.

Positive stable realizations of fractional continuous-time linear systems

Kaczorek T.

International Journal of Applied Mathematics and Computer Science

2011

Vol. 21, no 4

697-702

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.

Computation of positive stable realizations for linear continuous-time systems

Kaczorek T.

Bulletin of the Polish Academy of Sciences. Technical Sciences

2011

Vol. 59, nr 3

273-281

Conditions for the existence of positive stable realizations with system Metzler matrices for proper transfer function are established. It is shown that there exists a proper stable realization of transfer function of second order if and only if the transfer function has real negative poles. Sufficient conditions for the existence of positive stable realizations of transfer function of third order are established. A method based on the decomposition of transfer functions into the first, second and third orders transfer functions for computation of positive stable realizations is proposed. A method for computation of positive stable realizations of transfer functions with real negative poles and zeros is given.