Canonical process is a Lipschitz continuous uncertain process with stationary and independent increments, and uncertain differential equation is a type of differential equations driven by canonical process. This paper presents some methods to solve linear uncertain differential equations, and proves an existence and uniqueness theorem of solution for uncertain differential equation under Lipschitz condition and linear growth condition.
1 reconfigures its radiation direction in three switchable directions in the H-plane, that is, Ϫ25°, 0°, and ϩ25°. In comparison with the original RMPA, it eliminates two switches and sacrifices only a slight decrease in the tilt angle of the pattern. After replacing the switches with varactors, variation 2 is able to continuously scan its radiation pattern from Ϫ27°and 27°by controlling the value of the varactors. Variation 3 expands the H-plane pattern scan range to Ϫ(32°, 54°) ഫ (32°, 54°) by using inductors to series-resonate the varactors in variation 2. Variations 1 and 2 have a combined impedance and pattern bandwidth of more than 4.5% with respect to the center frequency, while variation 3 has a bandwidth of only 1.5%. In all the experiments, copper strips were used as switches in an on/off state and differently valued chip capacitors were used to mimic the behavior of the varactors. Implementation of electronic control of the radiation behavior of these antennas using PIN diodes and varactors is underway.
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