Abstract
This note concerns the polarity inversion of the delayed states in linear time-invariant multiple time delay systems (LTI-MTDS). To start with, for such systems the assessment of asymptotic stability is complicated due to the infinite dimensionality introduced by the delays. It is shown that the mentioned polarity inversion influences the respective delay-dependent stability maps in interesting ways. There are some intriguing invariant characteristics and correspondences between the original and inverted systems, which form the primary contributions of this note. These findings are shown to be the enabling features to relate the stability maps of the two systems. The Cluster Treatment of Characteristic Roots (CTCR) paradigm is utilized to identify these features. An example case study is provided to illustrate the claims.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
