ON COMPUTATIONAL STRUCTURE AND DISPOSITION OF SOLUTION MATRICES OF SINGLE–DELAY LINEAR NEUTRAL SCALAR DIFFERENTIAL EQUATIONS (Published)
This research article established the global computational structure of solution matrices for single–delay autonomous linear neutral equations. The development of the solution matrices exploited the continuity of these matrices for positive time periods, the method of steps, change of variables and theory of linear difference equations to obtain these matrices on successive intervals of length equal to the delay h.
THE STRUCTURE OF INDICES OF CONTROL SYSTEMS FOR CERTAIN SINGLE – DELAY AUTONOMOUS LINEAR SYSTEMS WITH PROBLEM INSTANCES (Published)
This paper investigated the structure of indices of control systems for single – delay autonomous linear systems on the interval [0, 4h] and on [0, ∞) for special coefficient matrix cases, as well as provided a note on Euclidean controllability and application instances of the determination of their controllability dispositions.
The development of the associated control index matrices exploited the continuity of these matrices for positive time periods, change of variables technique, the method of steps and backward continuation recursions to obtain these matrices on successive intervals of length equal to the delay h.
The indices were derived using the stage – wise algorithmic format, starting from the right – most interval of length h. The structure could be gleaned and deciphered from the emerged sign convention and recognizable exponential integral ordering.