Optimal Control under State Constraints
نویسنده
چکیده
Optimal control under state constraints has brought new mathematical challenges that have led to new techniques and new theories. We survey some recent results related to issues of regularity of optimal trajectories, optimal controls and the value function, and discuss optimal synthesis and necessary optimality conditions. We also show how abstract inverse mapping theorems of set-valued analysis can be applied to study state constrained control systems. Mathematics Subject Classification (2010). 49K15, 34A60, 47J07, 49N35, 49N60.
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