Extending Small Gain and Passivity Theory For Large-Scale System Interconnections

被引：0

作者：

Griggs, Wynita M. ^{[1
]}

Sajja, S. Shravan K. ^{[1
]}

Anderson, Brian D. O. ^{[2
,3
]}

Shorten, Robert N. ^{[1
]}

机构：

[1] Natl Univ Ireland, Hamilton Inst, Maynooth, Co Kildare, Ireland

[2] Australian Natl Univ, ANU Coll Engn & Comp Sci, Res Sch Engn, Canberra, ACT 0200, Australia

[3] Natl ICT Australia Ltd, Canberra, ACT 2601, Australia

来源：

2012 AMERICAN CONTROL CONFERENCE (ACC) | 2012年

关键词：

MIXED SMALL GAIN; STABILITY;

D O I：

暂无

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

In this paper, we use classical Nyquist arguments to derive stability results for large-scale interconnections of "mixed" linear, time-invariant (LTI) systems. We compare our results with P. J. Moylan and D. J. Hill, Stability criteria for large-scale systems, IEEE Transactions on Automatic Control, vol. 23, no. 2, 1978, pp. 143-149. Our results suggest that, if one relaxes the assumptions on the subsystems in an interconnection from assumptions of passivity or small gain to assumptions of "mixedness," then the Moylan- and Hill-like conditions on the interconnection matrix become more stringent. We also explore the stability of large-scale, time-varying interconnections of strictly positive real systems. We determine a condition that guarantees the existence of a Lyapunov function for the interconnected system.

引用

页码：6376 / 6381

页数：6

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