Discretizing LTI Descriptor (Regular) Differential Input Systems with Consistent Initial Conditions
Author(s) -
Athanasios D. Karageorgos,
Athanasios A. Pantelous,
Grigoris I. Kalogeropoulos
Publication year - 2010
Publication title -
advances in decision sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.178
H-Index - 13
eISSN - 2090-3367
pISSN - 2090-3359
DOI - 10.1155/2010/810605
Subject(s) - algorithm , computer science , discretization , artificial intelligence , mathematics , mathematical analysis
A technique for discretizing efficiently the solution of a Linear descriptor (regular) differential input system with consistent initial conditions, and Time-Invariant coefficients (LTI) is introduced and fully discussed. Additionally, an upper bound for the error ‖x¯(kT)−x¯k‖ that derives from the procedure of discretization is also provided. Practically speaking, we are interested in such kind of systems, since they are inherent in many physical, economical and engineering phenomena
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