Properties of the relaxed trajectories of evolution equations and optimal control
SIAM Journal on Control and Optimization
Properties of relaxed trajectories of evolution equations and optimal control
SIAM Journal on Control and Optimization
Existence Theory and the Maximum Principle for Relaxed Infinite-Dimensional Optimal Control Problems
SIAM Journal on Control and Optimization
Optimal Control of Distributed Parameter Systems
Optimal Control of Distributed Parameter Systems
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Relaxation optimal control for a class of integrodifferential equation associated with fractional power operator is investigated. By Gronwall lemma with singularity and delay the existence of mild solutions of integrodifferential equations is proved. Introducing finitely additive measure control, we convexificate original control systems and obtain corresponding relaxed control systems. Approximation results and equivalent relationship between control differential equations and integrodifferential inclusion are given. Existence of relaxed optimal control is verified and one relaxed optimal control is just an original one under generalized Cesari conditions.