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Optimal control of neutral functional-differential inclusions linear in velocities. (Portuguese. English summary) Zbl 1208.49031

Summary: This paper studies optimal control problems for dynamical systems governed by neutral functional-differential inclusions that linearly depend on delayed velocity variables. Developing the method of discrete approximations, we derive new necessary optimality conditions for such problems in both Euler-Lagrange and Hamiltonian forms. The results obtained are expressed in terms of advanced generalized differential constructions in variational analysis.

MSC:

49K99 Optimality conditions
34A60 Ordinary differential inclusions
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