I've heard here in the past, that non programmed-start 220-240V electronic ballasts, operates at a method called "Resonant Start", which is somewhat similar to the british SRS ballasts. However, most american non programmed-start electronic ballasts that have four wires, Uses the term "Rapid-start", which is a completely different technology than what our cheap electronic fluorescent ballast uses.
Are american four wires non programmed-start electronic ballasts, really have different operation principle than our cheap electronic ballasts? (Here, a starting capacitor provides the HV needed to start the lamp, and a seperate transformer windings provides cathodes heating, and sometimes a PTC component delay the operation of the starting capacitor, to allow the cathodes to preheat before the starting)

My HF lamp in my workshop always instant starts in fact sometimes a bit of blue glow can be seen around the cathodes for a second or so at switch on. Interestingly tho I've only had the thing whilst its been warm here so maybe in the bitter cold of winter it will do a proper preheat we will see

At first, British SRS is not resonant. The inductance is there cancelled out from the capacitor circuit, so there is no resonance involved at all. I have really doubts if the correct wording for the SRS is "Semi-Resonant Start" and not something like "Series Rapid Start" (which would be technically correct). But these marketing names are usually based on some history, so it is quite common for them to not be 100% technically correct, and it is of no problem once it is clear what arrangement they are supposed to mean.

Regarding the HF ballasts:
All of these use what could be called Resonant start (use the real resonance to boost the voltage).
There is no difference in operation, only difference is in the marketing name.
The only exception is the single wire per lamp end instant start, which is not used in Europe.

In fact none of these is really equal to the classical US RS magnetic operation (= providing all the time, so before, during and after ignition, the same filament supply).
All the HF ballasts provide huge filament power during the HV generation (during an ignition attempt) and very small after the lamp ignites. There is no filament disconnections or so, it is just the filament supply being derived from the resonant tank voltages/currents, so it is just the property of the resonance to boost these when there is no arc (so high Q) and having both low after the arc ignites (low Q).
The "CFL-like" ballasts start with generating the high voltage, so consequently provide the high cathode heating power. Usually the voltage is not enough to really form high current arc before the electrodes warm up (the high cathode fall redirect the power into the filaments) and it establishes after the electrodes do warm up. That is the same as with the classic US "RS" ballasts. But because the heating power is huge (resonance effect), the electrodes warm up in some 100ms or so (depends, how high the resonance currents are allowed to go by the exact design and component parameters; in the US this may be slightly lower due to the limited power delivery capability of the popular input doubler-rectifier), so from humans perspective virtually instantly. So from user perspective the lamp starts instantly (for classic RS ballast it takes some seconds).
Because of the heating contribution, to distinguish from the single wire IS ballasts, these "CFL-like" are called in the US as "RS". In Europe these are called "Instant start", because from the user perspective the light starts instantly (100ms is no time).

Then the "Programmed Start", "Warm Start" or so have some means to limit the voltage across the tube so, the filaments are first let to warm up and only the HV is generated. Either by the PTC or another switch altering the circuit (shorting or altering the resonance capacitor), or the frequency is kept long enough time above the resonance, when there is already quite high energy in the resonant tank (so high power for the filaments; but not as high as with the unleashed resonance) and only after some time the frequency is swept through the resonance so the voltages goes high (and the filaments get the last power warmup surge prior ignition). Again, this is the same round the globe.

Thanks. But I've heard about US rapid-start electronic ballasts, that had the same behaviors to the classical US magnetic rapid-starts with lamp EOL (EOL lamp not working, rest lamps glows dimly), whats don't occurs with our non programmed-start electronic ballasts for 2 lamps or more.
Also, if SRS should be Series Rapid-Start and not Semi-Resonant Start, so why the starting of the british SRS ballasts looks different than the starting of the US rapid-start ballasts?

Thanks. But I've heard about US rapid-start electronic ballasts, that had the same behaviors to the classical US magnetic rapid-starts with lamp EOL (EOL lamp not working, rest lamps glows dimly), whats don't occurs with our non programmed-start electronic ballasts for 2 lamps or more.

The question is, what exactly is called "RS". Many programmed start ballast have the starting sequence lasting around the 0.5s, with the brightness increasing gradually after ignition (just slow frequency sweep during start). These qualify as Programmed start (if we take the meaning as first heating and only then ignition), just because it suffices with less than 1s, it earned the marketing designation as "RS".
What you describe looks like quite dumb implementation without any protection circuits (likely just a IRS2153 with few components extra for the frequency sweep) just without any EOL protection. I think the main reason is, similar European ballast will have the EOL protection, which will shut the ballast down. Why it is missing in the US design? Could be because they want to decouple the multiple parallel lamp resonator circuits from each others failure (and then use the same inverter even for single lamp ballasts), with series connection that is of course not physically possible.
And even when the protection is there, but is based on e.g. hard switching frequency rampup and and a core saturation detection, the working lamps on the inverter prevent the circuit from hard switching, (so frequency rampup, so core saturation in the failed channel), so causing the protection to not trigger.
In Europe the higher power lamps (those needing parallel configuration) are very rarely used more than one on a single ballast, the reason is it does not bring that much saving anymore, but it brings wiring problems (the HF ballast impose limitation on certain wire lengths, with larger lamps it could be problematic to have all sensitive wires short with more than one lamp). In the US they seems to care way less about that (long wiring with 4 lamp instant start,...)

Also, if SRS should be Series Rapid-Start and not Semi-Resonant Start, so why the starting of the british SRS ballasts looks different than the starting of the US rapid-start ballasts?

How different? You mean the US ballast first glows dimly and then slowly brightens, vs the RSRS does not glow at all and then suddenly lights up (not that I have any experience with the SRS, it is just a hint of a kind of difference would suspect given the circuit)?
There are three details, which may make some differences between the US RS and the SRS (note, the differences below are just the tendencies towards that behavior, both of these may behave in the compete range from delay-with-nothing-immediate-full-brightness to gradual increasing of the brightness from zero to full):
- The US RS may use higher OCV, the SRS has just the mains voltage as OCV. That means the US may ignite some (glow) discharge before the electrodes warm up andf the warming up only represents itself by the slow current increase.
- The US RS use to use series capacitor as the ballasting impedance, while the SRS are only inductive. That means at the moment the lamp start to rectify, the SRS feeds way higher currents (nearly the full rated current even when just one cathode is emitting) and these currents then provide quite significant heating to the other cathode as well, so practically make the startup from that point practically instant. The series capacitor in the US RS then causes the curent to correspond to a kind of average voltage between both polarities, so once one cathode reaches emission, the brightness ramps up partially and after the other cathode reaches it, it does other step to the full brightness.
- The filaments are supplied in the US RS by a voltage source (filament winding), but in the SRS by a current source (the compensation capacitor current). The constant voltage source means way higher heating power, so fast temperature rampup when the filaments are cold and slower when they warm up a bit, while the current feed of the SRS means the cold filaments are warming up very slowly and only when theu heat up a bit and so increase their resistance, the warming up gets quicker. That means the US reaches the onset of emission quicker and then slower builds up the strength, while the SRS "nothing happens" for most of the time and then the rampup of the emission happens way quicker.
Plus one additional: The US lamps have thicker filaments (3.6V rated), which way less respond to the actual arc current (mainly on the anode side) than the thinner European lamps used for SRS (~9V or so rated). That means the warming up of the SRS is strongly affected by the actual discharge, so once the lamp ignites at least partly, the warming up speed up a lot. With the heavier gauge of the US lamps the warmup is less affected, so just continues slower.