Analysis and synthesis of dynamic systems containing time delays via block-pulse functions

1 January 1978

journal article
Published by Institution of Engineering and Technology (IET) in Proceedings of the Institution of Electrical Engineers

Vol. 125 (10) , 1064-1068
https://doi.org/10.1049/piee.1978.0243

Abstract

This paper presents a method of numerically integrating differential equations containing time delays via block-pulse functions. The resulting solutions are piecewise constant with minimal mean-square error. The method is based on the use of a newly developed ‘delay matrix’ and enlarges the scope of useful applications of block-pulse functions to problems of dynamic systems. Examples of linear and nonlinear delay systems are included.

Keywords

DELAY DIFFERENTIAL SYSTEMS
BLOCK PULSE FUNCTIONS
TIME DELAYS
DYNAMIC SYSTEMS
SYNTHESIS
MINIMAL MEAN SQUARE ERROR
NUMERICAL INTEGRATION
ANALYSIS
DELAY MATRIX
DIFFERENTIAL EQUATIONS

This publication has 1 reference indexed in Scilit:

PERIODIC SOLUTIONS OF LIÉNARD EQUATIONS WITH DELAY: SOME THEORETICAL AND NUMERICAL RESULTS
Published by Elsevier ,1972