作者: Philip D. Loewen , Frank H. Clarke , Richard B. Vinter
DOI: 10.1016/S0294-1449(16)30336-5
关键词: Fixed time 、 Mathematical analysis 、 Hamiltonian (quantum mechanics) 、 Time variable 、 Differential inclusion 、 Mathematics
摘要: We prove Hamiltonian necessary conditions for stateconstrained differential inclusion problems in which the basic time interval is one of unknowns. Previous approaches typically reduce this problem to based on a fixed by transforming variable into an auxiliary state – device unfortunately requires that data exhibit rather smooth t-dependence. Here we use proximal analysis avoid transformation, and offer first complete treatment free-time whose dynamics are assumed be merely measurable t.