Szczegóły

Tytuł artykułu

Descriptor standard and positive discrete-time nonlinear systems

Tytuł czasopisma

Archives of Control Sciences

Rocznik

2015

Numer

No 2

Autorzy publikacji

Wydział PAN

Nauki Techniczne

Abstrakt

<jats:title>Abstract</jats:title> <jats:p>A method of analysis of descriptor nonlinear discrete-time systems with regular pencils of linear part is proposed. The method is based on the Weierstrass-Kronecker decomposition of the pencils. Necessary and sufficient conditions for the positivity of the nonlinear systems are established. A procedure for computing the solution to the equations describing the nonlinear systems are proposed and demonstrated on numerical examples.</jats:p>

Wydawca

Committee of Automatic Control and Robotics PAS

Data

2015[2015.01.01 AD - 2015.12.31 AD]

Identyfikator

ISSN 1230-2384

Referencje

Kaczorek (2014), Drazin inverse matrix method for fractional descriptor continuous - time linear systems, Bull Pol Acad Tech, 62. ; Kaczorek (2011), Checking of the positivity of descriptor linear systems by the use of the shuffle algorithm Archives of Control, Sciences, 21, 287. ; Kuceraand (1998), Fundamental theorem of state feedback for singular systems, Automatica, 24, 653, doi.org/10.1016/0005-1098(88)90112-4 ; Kaczorek (1992), Linear Control Systems New York, Research Studies. ; Kaczorek (2013), Application of Drazin inverse to analysis of descriptor fractional discrete - time linear systems with regular pencils, Int J Appl Math Comput Sci, 23, 29. ; Dai (1989), Singular control systems Lectures Notes in Control and Information Springer - Verlag, Sciences. ; Kaczorek (2014), Minimum energy control of positive fractional descriptor continuous - time linear systems Control Theory & Applications, IET, 8, 215. ; Kaczorek (2011), Singular fractional discrete - time linear systems Control and, Cybernetics, 40, 753. ; Kaczorek (2010), Positive linear systems with different fractional orders, Bull Pol Ac Sci Techn, 58, 453. ; Kaczorek (2014), Minimum energy control of descriptor positive discrete - time linear systems The Int for Computation and Mathematics in Electrical and Electronic, COMPEL J Engineering, 33, 976, doi.org/10.1108/COMPEL-04-2013-0111 ; Fahmyand (1989), Matrix pencil of closed - loop descriptor systems : infinite - eigenvalues assignment, Int J Control, 49, 1421, doi.org/10.1080/00207178908559713 ; Bru (null), Some problems about structural properties of positive descriptor systems Positive systems , Lecture Notes in Control and Inform, Sci, 2942003. ; Bru (2000), About positively discrete - time singular systems System and Control : theory and applications Electr World, Comput Eng Ser Sci Eng Soc, 44. ; Kaczorek (2004), Infinite eigenvalue assignment by output - feedbacks for singular systems, Int J Appl Math Comput Sci, 14, 19. ; Kaczorek (2011), Reduction and decomposition of singular fractional discrete - time linear systems Mechanica et, Acta Automatica, 5, 62.

DOI

10.1515/acsc-2015-0015

×