Zerocrossings of periodic time functions that appear in a nonlinear equation relevant to electrical engineering
✍ Scribed by Emanuel Gluskin
- Publisher
- Elsevier Science
- Year
- 1990
- Tongue
- English
- Weight
- 833 KB
- Volume
- 327
- Category
- Article
- ISSN
- 0016-0032
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✦ Synopsis
The f?qZ&Zti0fl f(t)+pL Sign(f(t)) = V(t), bJ 1 means qf which a zerocrossing representation of the time jimction f(t) is obtained, is analysed. v(t) is a known T-periodic zerocrossing (i.e. without a touching of the time axes and dv/dt # 0 at the zero point) function. L is a linear integral operator. The possibility of the zerocrossing representation of f(t) appears when the parameter p is with certain limits de$ned by v and L. The representation reduces the$nding of f(t) to the jinding of the zerocrossings, which in some cases may be very simply done. The mathematical inaestigation is motivated by work in the theory of jluorescent lamp circuits where the zerocrossing representation qf a current function appears to be uxful. The equation is$nally generalized which also is associated with the applications.