On LTI output strictly negative-imaginary systems

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• 作者：Parijat Bhowmick ; ^{parijat.bhowmick@ee.iitkgp.ernet.in} ; Sourav Patra ^{sourav@ee.iitkgp.ernet.in}
• 关键词：Output strictly negative-imaginary systems ; Output strict passivity ; (Q ; S ; R)(Q ; S ; R)-dissipativity ; Positive feedback ; Interconnected system ; Robust stability
• 刊名：Systems & Control Letters
• 出版年：2017
• 出版时间：February 2017
• 年：2017
• 卷：100
• 期：Complete
• 页码：32-42
• 全文大小：665 K
• 卷排序：100

文摘

This paper deals with the notion of output strictly negative-imaginary systems. A definition is given for the class of output strictly negative-imaginary systems and a lemma is proposed to test the necessary and sufficient conditions required to satisfy output strictly negative-imaginary system properties. A set theoretic relationship is established between the existing class of strictly negative-imaginary systems and the newly defined output strictly negative-imaginary systems class. A stability analysis result for interconnected systems with positive feedback is presented while one of the systems is negative-imaginary and the other one is output strictly negative-imaginary, contrary to the existing results where at least one of the systems in the interconnection belongs to the strictly negative-imaginary class. Several numerical examples have been studied to demonstrate the proposed results.