反馈正实系统和Stalford问题

FEEDBACK POSITIVE REAL SYSTEMS AND STALFORD PROBLEM

本文讨论系统的反馈正实性和Ｓｔａｌｆｏｒｄ问题：１）给出了系统Σ（Ｃ，Ａ，Ｂ）为反馈正实的新的充分必要条件；２）对Ｓｔａｌｆｏｒｄ问题，证明了由Ｃｈａｏ和Ｓｔａｌｆｏｒｄ给出的必要条件也是充分条件．此外还将Ｓｔａｌｆｏｒｄ问题推广到系统不可控的情况，并给出了易于检验的充分必要条件．

In this paper, we study feedback positive real systems and the Stalford problem.1) A new necessary and sufficient condition for feedback positive real systems is given. 2) For the Stalford problem, we prove that the necessary condition presented by Chao and Stalford is also sufficient. Moreover, we present other necessary and sufficient conditions for the Stalford problem.