Limit cycles of discontinuous piecewise polynomial vector fields
Sign Up to like & getrecommendations! Published in 2017 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2016.11.048
Abstract: Abstract When the first average function is non-zero we provide an upper bound for the maximum number of limit cycles bifurcating from the periodic solutions of the center x ˙ = − y ( (… read more here.
Keywords: piecewise polynomial; polynomial vector; limit cycles; vector fields ... See more keywords
Local cyclicity in low degree planar piecewise polynomial vector fields
Sign Up to like & getrecommendations! Published in 2021 at "Nonlinear Analysis: Real World Applications"
DOI: 10.1016/j.nonrwa.2020.103278
Abstract: Abstract In this work, we are interested in isolated crossing periodic orbits in planar piecewise polynomial vector fields defined in two zones separated by a straight line. In particular, in the number of limit cycles… read more here.
Keywords: piecewise polynomial; polynomial vector; planar piecewise; vector fields ... See more keywords
Fast Computation of Tight Funnels for Piecewise Polynomial Systems
Sign Up to like & getrecommendations! Published in 2022 at "IEEE Control Systems Letters"
DOI: 10.1109/lcsys.2021.3134101
Abstract: Funnels are widely used in safety-critical applications such as robust motion planning as conservative bounds for possible state deviations due to disturbances. However, the problem of finding a tight funnel has been a challenging topic… read more here.
Keywords: problem; polynomial systems; fast computation; piecewise polynomial ... See more keywords
A Temperature-Compensated Crystal Oscillator With Piecewise Polynomial Varactor Compensation Achieving ±3.75-ppm Inaccuracy From −30°C to 90°C
Sign Up to like & getrecommendations! Published in 2022 at "IEEE Transactions on Circuits and Systems II: Express Briefs"
DOI: 10.1109/tcsii.2021.3138774
Abstract: This brief presents a low-complexity temperature-compensated crystal oscillator (TCXO). The frequency error compensation over temperature is realized by employing the proposed piecewise polynomial varactor (PPV). The PPV operation is determined by a temperature-dependent voltage generator.… read more here.
Keywords: crystal oscillator; temperature compensated; compensation; piecewise polynomial ... See more keywords