Necessary and Sufficient Conditions For Controllability Of Single-Delay Autonomous Neutral Control Systems And Applications

Abstract

This article formulated and proved necessary and sufficient conditions for the Euclidean controllability of single-delay autonomous linear neutral control systems, in terms of rank conditions on some concatenated determining matrices.The proof was achieved by the exploitation of the structure of the determining matrices developed in Ukwu [1], the relationship among the determining matrices, the indices of control systems and system’s coefficients of the relevant system,obtained in [1]and an appeal to Taylor’s theorem , Knowles [2],as applied to vector functions.