Algebraic Unsolvability of Problem of Absolute Stability of Desynchronized Systems Revisited
V. S. Kozyakin
TL;DR
This paper revisits the algebraic unsolvability of the absolute stability problem in desynchronized systems, clarifying previous results and correcting errors from the original publication.
Contribution
It corrects misprints and adds figures to the original work demonstrating the algebraic unsolvability of absolute stability in desynchronized systems.
Findings
No algebraic criteria exist for absolute stability in general desynchronized systems
The paper clarifies and visualizes previous theoretical results
It emphasizes the inherent complexity of stability analysis in such systems
Abstract
In the author's article "Algebraic unsolvability of problem of absolute stability of desynchronized systems" (Automat. Remote Control 51 (1990), no. 6, pp. 754--759), it was shown that in general for linear desynchronized systems there are no algebraic criteria of absolute stability. In this paper, a few misprints occurred in the original version of the article are corrected, and two figures are added.
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Taxonomy
TopicsNetwork Time Synchronization Technologies · Advanced Research in Systems and Signal Processing · Cybersecurity and Information Systems