摘要
Pseudospectral(PS)computationalmethodsfornonlinearconstrainedoptimalcontrolhavebeenappliedtomanyindustrial-strengthproblems,notably,therecentzero-propellant-maneuveringoftheinternationalspacestationperformedbyNASA.Inthispaper,weproveatheoremontherateofconvergencefortheoptimalcostcomputedusingaLegendrePSmethod.Inadditiontothehigh-orderconvergencerate,twotheoremsareprovedfortheexistenceandconvergenceoftheapproximatesolutions.RelativetoexistingworkonPSoptimalcontrolaswellassomeotherdirectcomputationalmethods,theproofsdonotusenecessaryconditionsofoptimalcontrol.Furthermore,wedonotmakecoercivitytypeofassumptions.Asaresult,thetheorydoesnotrequirethelocaluniquenessofoptimalsolutions.Inaddition,arestrictiveassumptionontheclusterpointsofdiscretesolutionsmadeinexistingconvergencetheoremsisremoved.
出版日期
2010年04月14日（中国期刊网平台首次上网日期，不代表论文的发表时间）
