Connected　Cruise　Control　(CCC)　system　technology　and　resource　management　of　Vehicular　Ad　Hoc　Network　(VANET)　are　conducive　to　alleviate　traffic　congestion　and　improve　road　safety.　This　paper　focuses　on　the　joint　optimization　of　the　control　strategy　and　resource　management　of　CCC　system　in　the　presence　of　short　communication　delays,　and　an　optimal　control　algorithm　is　proposed　which　can　realize　the　smooth　following　driving　of　CCC　vehicle　and　reduce　the　power　consumption　of　Vehicle-to-Vehicle　(V2V)　communication.　Firstly,　the　vehicle　dynamics　modeling　of　the　multiple-vehicle　platoon　and　power　consumption　analysis　of　the　CCC　vehicle　are　carried　out.　Then,　the　joint　optimization　problem　of　the　quadratic　cost　function　which　the　optimization　objective　is　to　minimize　the　vehicle　dynamic　errors　and　power　consumption　is　established.　By　using　a　backward　recursion　method,　the　optimization　algorithm　of　near-equilibrium　case　is　obtained.　Then,　the　optimization　algorithm　results　are　further　extended　to　the　general　time-varying　headway　case.