Criterion of Stability of a Linear System with One Harmonic Time-Varying Coefficient Based on a Formalized Filter Hypothesis

  • Anton MandrikEmail author
Conference paper
Part of the Lecture Notes in Networks and Systems book series (LNNS, volume 95)


Stability criterion for a linear time-varying (LTV) system with one harmonic time-varying coefficient in feedback is suggested. The found criterion is based on the hypothesis that the linear time-invariant (LTI) part of the system is a low-frequency filter. The criterion is simple and suitable for calculation of stability borders for LTV systems. The suggested criterion is compared with a numerical experiment, Bonjiorno criterion, stationarization method.


Stability criterion Linear time-varying system Stability borders Numerical experiment Bonjiorno criterion Stationarization method 


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© Springer Nature Switzerland AG 2020

Authors and Affiliations

  1. 1.Peter the Great St. Petersburg Polytechnic UniversitySaint PetersburgRussia

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