caa a22 4500 386360499 CHVBK 20180307111913.0 cr unu---uuuuu 161130e198906 xx s 000 0 eng 10.1017/S0004972700003373 doi S0004972700003373 pii (NATIONALLICENCE)cambridge-10.1017/S0004972700003373 Eke Anthony N. Department of Mathematics, University of Nigeria, Nsukka, Nigeria. Compactness and convexity of cores of targets for neutral systems [Elektronische Daten] [Anthony N. Eke] In this paper we prove the convexity and the compactness of the cores of targets for neutral control systems. We make use of a weak compactness argument; but in the crucial part where we establish the boundeduess of the cores of the target we make use of the notion of asymptotic direction from convex Set Theory. Let En be n-dimensional Euclidean space. We prove that the core of the target H = L + E (where L = {x En | Mx = 0}, M is a constant in m × n matrix and E is a compact, convex set containing 0) of the neutral system is convex, and is compact if, and only if, the system is Euclidean controllable. Copyright © Australian Mathematical Society 1989 Bulletin of the Australian Mathematical Society Cambridge University Press 39/3(1989-06), 449-459 0004-9727 39:3<449 1989 39 BAZ https://doi.org/10.1017/S0004972700003373 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1017/S0004972700003373 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Eke Anthony N. Department of Mathematics, University of Nigeria, Nsukka, Nigeria NATIONALLICENCE 773 0- Bulletin of the Australian Mathematical Society Cambridge University Press 39/3(1989-06), 449-459 0004-9727 39:3<449 1989 39 BAZ CC0 http://creativecommons.org/publicdomain/zero/1.0 nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-cambridge