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Thepictureillustratestheresultingevolution.Thepointisthatthesystemmaybehavequitedi,erentlyaswechangethecontrolparameters. Moregenerally,wecallafunctionα:[0,∞)→Aacontrol.Correspondingtoeachcontrol,weconsidertheODE (ODE),˙x(t)=f(x(t),α(t))(t>0)(0)=x0, ...