Sufficient Conditions for Optimal Control of a General Class of Linear Functional Differential Equations

摘要

Sufficient conditions for the optimal control of linear functional differential equations are presented. The linear process is of a very general type since hereditary effects are allowed in both the state-dependent terms and the control-dependent terms. In addition allowance is made for a general class of terminal conditions which may be specified in function space. Several special cases of the basic result are mentioned. The sufficient conditions are given for the case of differential-difference equations and for integro-differential equations. Reduction of the sufficient conditions to a nonclassical two point boundary value problem is also accomplished. (Author)