A Graph Separation Stability Condition for Non-Planar Conic Systems

被引：0

作者：

Usova, Anastasiia A. ^{[1
]}

Polushin, Ilia G. ^{[1
]}

Patel, Rajni V. ^{[1
]}

机构：

[1] Western Univ, Dept Elect & Comp Engn, London, ON N6A 5B9, Canada

来源：

IFAC PAPERSONLINE | 2016年 / 49卷 / 18期

基金：

加拿大自然科学与工程研究理事会;

关键词：

Stability; Dissipativity; Conic Systems; Nonlinear Systems; NONLINEAR FEEDBACK-SYSTEMS; TELEOPERATION; DELAY;

D O I：

10.1016/j.ifacol.2016.10.286

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

Results related to an extension of the notion of nonlinear conic systems to the non-planar case are presented. Specifically, parametrization of the non-planar dynamic conic sectors in terms of their central subspace and radius is developed. Relationship between (Q,S,R)-dissipativity and non-planar conicity is studied; in particular, it is shown that any (Q,S,R)-dissipative system is non-planar conic, and a procedure for calculation of the central subspace and the radius is presented. A graph separation stability condition for interconnections of non-planar conic systems is formulated and proven. The results presented in this work will form a background for the future extensions of the scattering transformation-based stabilization techniques to the case of interconnections of non-planar conic systems. (C) 2016, IFAC (International Federation of Automatic Control) Hosting by Elsevier Ltd. All rights reserved.

引用

页码：933 / 938

页数：6

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