TY - JOUR
T1 - Designing the sampling period of a discretized LTI descriptor (regular) system with inputs
AU - Karageorgos, Athanasios D.
AU - Pantelous, Athanasios A.
AU - Kalogeropoulos, Grigoris I.
PY - 2011/8
Y1 - 2011/8
N2 - In this brief paper, a new sharper upper bound for the error ∥x(kT) - x
k ∥ that derives from the procedure of discretization of the solution of a Linear descriptor (regular) differential input system with consistent initial conditions, and Time-Invariant coefficients (LTI) is calculated and fully discussed. Practically speaking, considering numerous applications in engineering (especially in robotics and digital control) and computer science, we are very interested in determining such kind of upper bounds, since they are significant in the design process of the sampling period T.
AB - In this brief paper, a new sharper upper bound for the error ∥x(kT) - x
k ∥ that derives from the procedure of discretization of the solution of a Linear descriptor (regular) differential input system with consistent initial conditions, and Time-Invariant coefficients (LTI) is calculated and fully discussed. Practically speaking, considering numerous applications in engineering (especially in robotics and digital control) and computer science, we are very interested in determining such kind of upper bounds, since they are significant in the design process of the sampling period T.
KW - Discretization
KW - error upper bound
KW - LTI descriptor input system
KW - sampling period
UR - http://www.scopus.com/inward/record.url?scp=80052652297&partnerID=8YFLogxK
U2 - 10.1007/s12555-011-0422-x
DO - 10.1007/s12555-011-0422-x
M3 - Article
AN - SCOPUS:80052652297
SN - 1598-6446
VL - 9
SP - 791
EP - 796
JO - International Journal of Control, Automation and Systems
JF - International Journal of Control, Automation and Systems
IS - 4
ER -