Title :
Comments on the properties of the operational matrices of integration and differentiation for Fourier trigonometric functions
Author :
Caiti, Andrea ; Cannata, Giorgio
Author_Institution :
Dept. of Commun., Comput. & Syst. Sci., Genova Univ., Italy
fDate :
4/1/1993 12:00:00 AM
Abstract :
The properties of the operational matrices of integration, P, and differentiation Q, are discussed for the case of Fourier trigonometric functions. In particular, a theorem that establishes the relationship between the matrices P/sup -1/ and Q is given, and the meaning of using P/sup -1/ instead of Q, recently proposed in literature, is clarified.<>
Keywords :
Fourier analysis; control system analysis; differentiation; integration; matrix algebra; Fourier trigonometric functions; differentiation; integration; operational matrices; Automatic control; Automation; Communication system control; Control system analysis; Control systems; Convergence; Councils; Differential algebraic equations; Hilbert space; Optimal control;
Journal_Title :
Automatic Control, IEEE Transactions on
