On interconnections of 鈥渕ixed鈥?systems using classical stability theory
- 作者：Wynita M. Griggs<sup>asup><sup> ; sup><sup>1sup><sup> ; sup><sup>wynita.griggs@nuim.iesup> ; S. Shravan K. Sajja<sup>asup><sup> ; sup><sup>1sup> ; Brian D.O. Anderson<sup>bsup><sup> ; sup><sup>csup> ; Robert N. Shorten<sup>asup>
- 关键词：Stability of linear ; time-invariant systems ; Passivity ; Small gain theorem ; Nyquist stability theorem
- 刊名：Systems and Control Letters
- 出版年：2012
- 期刊代码：171_01676911
- 类别：et
- 出版时间：May, 2012
- 卷：61
- 期：5
- 页码：676-682
- 文件大小：321 K
摘要
In this paper, we derive stability results for large-scale interconnections of 鈥渕ixed鈥?linear, time-invariant systems using classical Nyquist arguments. We compare our results with Moylan and Hill (1978)聽. Our results indicate that, if one relaxes assumptions on the subsystems in an interconnection from assumptions of passivity or small gain to assumptions of 鈥渕ixedness,鈥?then the Moylan and Hill-like conditions on the interconnection matrix become more stringent. Finally, we explore a condition for the stability of large-scale, time-varying interconnections of strictly positive real systems. This condition mirrors the condition obtained in聽 for time-invariant interconnections and is thus an extension of this work.