The invention claimed is:1. A method of adaptively controlling dead time between turn off of a first switching device of an inverter and turn on of a second switching device of the inverter that is a counterpart of the first switching device, the method comprising:monitoring a plurality of switching events of the first and second switching devices;storing for each monitored switching event an indication whether a dead time associated therewith permitted optimal switching, thereby storing a plurality of indications; andadaptively controlling the dead time responsive to the stored indications, wherein adaptively controlling, the dead time responsive to the stored plurality of indications further comprises:decreasing the dead time responsive to a plurality of indications that the dead time is too long; andincreasing the dead time responsive to a plurality of indications that the dead time is too short.2. The method of claim 1 wherein monitoring a plurality of switching events of at least one of the first and second switching devices further comprises:sampling an output voltage of the inverter; andcomparing the sampled output voltage to one of a high reference voltage corresponding to a high inverter rail voltage and a low reference voltage corresponding to a low inverter rail voltage.3. The method of claim 2 wherein comparing the sampled output voltage to a high reference voltage corresponding to a high inverter rail voltage determines whether a corresponding switching event of a high side switch was an optimal switching event corresponding to zero voltage switching without excessive body diode conduction time.4. The method of claim 2 wherein comparing the sampled output voltage to a low reference voltage corresponding to a low inverter rail voltage determines whether a corresponding switching event of a low side switch was an optimal switching event corresponding to zero voltage switching without excessive body diode conduction time.5. The method of claim 2 wherein the high reference voltage is 0.95 times the high inverter rail voltage, and the low reference voltage is 0.05 times the high inverter rail voltage.6. The method of claim 1, wherein plurality of indications that the dead time is too long comprise a majority of the stored indications.7. The method of claim 6, wherein the majority is a supermajority.8. The method of claim 1, wherein plurality of indications that the dead time is too long comprises a selected number of sequential indications that the dead time is too long.9. The method of claim 1, wherein plurality of indications that the dead time is too short comprise a majority of the stored indications.10. The method of claim 9, wherein the majority is a supermajority.11. The method of claim 1 wherein plurality of indications that the dead time is too short comprises a selected number of sequential indications that the dead time is too short.12. The method of claim 1 wherein the plurality of indications that the dead time is too long correspond to excessive body diode conduction of at least one of the first and second switching devices, and the plurality of indications that the dead time is too short correspond to a lack of zero voltage switching of at least one of the first and second switching devices.13. An inverter comprising:a first switching device;a second switching device that is a counterpart of and is switched complementarily to the first switching device; andcontrol circuitry that:monitors a plurality of switching events of the first and second switching devices;stores a plurality of indications whether a dead time associated with the monitored plurality of switching events permitted optimal switching for each monitored switching event; andadaptively controls a dead time between turn off of the first switching device and turn on of the second switching device responsive to the plurality of stored indications by:decreasing the dead time responsive to a plurality of indications that the dead time is too long; orincreasing the dead time responsive to a plurality of indications that the dead time is too short.14. The inverter of claim 13 wherein the control circuitry that monitors a plurality of switching events of the first and second switching devices comprises:a sample and hold circuit that samples an output voltage of the inverter; anda comparator that compares the sampled output voltage to one of a high reference voltage corresponding to a high inverter rail voltage and a low reference voltage corresponding to a low inverter rail voltage.15. The inverter of claim 13 wherein the plurality of indications that the dead time is too long or the plurality of indications that the dead time is too short comprise a majority of the stored indications.16. The inverter of claim 15 wherein the majority is a supermajority.17. The inverter of claim 13 wherein plurality of indications that the dead time is too long or the plurality of indications the dead time is too short comprises a selected number of sequential indications that the dead time is too long or that the dead time is too short.18. The inverter of claim 13 wherein the plurality of indications that the dead time is too long correspond to excessive body diode conduction of at least one of the first and second switching devices, and the plurality of indications that the dead time is too short correspond to a lack of zero voltage switching of at least one of the first and second switching devices.19. A wireless power transmitter comprising:an inverter that receives a DC input voltage and generates an AC output voltage;a wireless power transmitter coil that receives the AC output voltage and magnetically couples to a wireless power receiving coil of a wireless power receiver to facilitate wireless power transfer; andinverter controller circuitry that:monitors a plurality of switching events of the first and second complementary switching devices of the inverter;stores a plurality of indications whether a dead time associated with the monitored plurality of switching events permitted optimal switching for each monitored switching event; andadaptively controls a dead time between turn off of the first switching device and turn on of the second switching device responsive to the plurality of stored indications by:decreasing the dead time responsive to a plurality of indications that the dead time is too long; orincreasing the dead time responsive to a plurality of indications that the dead time is too short.20. The wireless power transmitter of claim 19 wherein the inverter controller circuitry that monitors a plurality of switching events of at least one of the first and second switching devices comprises:a sample and hold circuit that samples an output voltage of the inverter; anda comparator that compares the sampled output voltage to one of a high reference voltage corresponding to a high inverter rail voltage and a low reference voltage corresponding to a low inverter rail voltage.21. The wireless power transmitter of claim 19 wherein the plurality of indications that the dead time is too long or the plurality of indications that the dead time is too short comprise:a majority of the stored indications; ora selected number of sequential indications that the dead time is too long or that the dead time is too short.22. The wireless power transmitter of claim 19 wherein the plurality of indications that the dead time is too long correspond to excessive body diode conduction of at least one of the first and second switching devices, and the plurality of indications that the dead time is too short correspond to a lack of zero voltage switching of at least one of the first and second switching devices.