Journal
SYSTEMS & CONTROL LETTERS
Volume 100, Issue -, Pages 32-42Publisher
ELSEVIER
DOI: 10.1016/j.sysconle.2016.12.004
Keywords
Output strictly negative-imaginary systems; Output strict passivity; (Q; 5; R)-dissipativity; Positive feedback; Interconnected system; Robust stability
Funding
- Council of Scientific and Industrial Research, India [22(0647)/13/EMR-II]
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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 dass 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. (C) 2016 Elsevier B.V. All rights reserved.
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