TY - JOUR

T1 - The use of impulse-function and its derivatives for changing the state of a multi-input multi-output differential system in (almost) zero time

AU - Kalogeropoulos, Grigoris I.

AU - Karageorgos, Athanasios D.

AU - Pantelous, Athanasios A.

PY - 2008

Y1 - 2008

N2 - In many practical applications, the (almost) zero time state changing is more than important. Thus, in this short paper we develop a methodology for the state changing of a multi-input multi-output linear control differential system by using a linear combination of Dirac δ-function and its derivatives. Obviously, such an input is very hard to imagine physically. Using linear algebra techniques and the generalized inverse theory, the input's coefficients are fully determined. Finally, the whole work ends up with the analytic presentation of an illustrative numerical example.

AB - In many practical applications, the (almost) zero time state changing is more than important. Thus, in this short paper we develop a methodology for the state changing of a multi-input multi-output linear control differential system by using a linear combination of Dirac δ-function and its derivatives. Obviously, such an input is very hard to imagine physically. Using linear algebra techniques and the generalized inverse theory, the input's coefficients are fully determined. Finally, the whole work ends up with the analytic presentation of an illustrative numerical example.

KW - Impulse-function and its derivative

KW - Linear differential systems

KW - State chasing

KW - Zero time

UR - http://www.scopus.com/inward/record.url?scp=73349110386&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:73349110386

VL - 34

SP - 11

EP - 15

JO - Systems Science

JF - Systems Science

SN - 0137-1223

IS - 3

ER -