Differential inclusions with free time

作者: Philip D. Loewen , Frank H. Clarke , Richard B. Vinter

DOI: 10.1016/S0294-1449(16)30336-5

关键词: Fixed timeMathematical analysisHamiltonian (quantum mechanics)Time variableDifferential inclusionMathematics

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.

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