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
收藏
页码：6376 / 6381
页数：6
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