What is it about?
This paper presents a complex scaling approach for stability analysis and stabilization in linear continuous-time periodic systems. The approach involves neither transient matrices nor their Floquet factorizations. Thus, the stability conditions and stabilization are numerically implementable as long as the system matrices A(t), B(t), C(t) and D(t) are avaiable.
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Why is it important?
1. Stability analysis and stablization involve no knowledge about transient matrices that are hard to know in time-varying systems; 2. Stability analysis and stabilization can be completed graphicaly as well as numerically. The latter is much convenient for stabilization controller parametrization.
Perspectives
The complex scaling idea can be used for dealing with other complicated systems, as long as their characteristic polynomials are available.
Professor Jun Zhou
Hohai University
Read the Original
This page is a summary of: Stability analysis and stabilisation in linear continuous-time periodic systems by complex scaling, International Journal of Control, October 2018, Taylor & Francis,
DOI: 10.1080/00207179.2018.1540888.
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