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New Global Optimality Conditions in Optimal Control Theory
SIAM Journal on Control and Optimization, 1983We give global optimality conditions expressed in terms of a function $\phi $ which satisfies conditions related to the Hamilton–Jacobi equation. Thus our results are in the spirit of sufficient conditions for optimality associated with Caratheodory in the calculus of variations, and of the verification theorems of optimal control theory.
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2015
The optimal control theory is the theoretical basis for the generation of control algorithms to reach and maintain the desired orbital and attitude reference trajectory . These algorithms need to have as input a partial or total information regarding the state of the system. In this chapter we will review the classic optimal control theory derived from
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The optimal control theory is the theoretical basis for the generation of control algorithms to reach and maintain the desired orbital and attitude reference trajectory . These algorithms need to have as input a partial or total information regarding the state of the system. In this chapter we will review the classic optimal control theory derived from
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1993
Abstract We are now familiar with the ideas and methods of the calculus of variations. In particular we have studied the minimization of integrals in the presence of constraints (isoperimetric problems) and we are well aware of how crucial the choice of the class of admissible functions is to the development of the theory.
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Abstract We are now familiar with the ideas and methods of the calculus of variations. In particular we have studied the minimization of integrals in the presence of constraints (isoperimetric problems) and we are well aware of how crucial the choice of the class of admissible functions is to the development of the theory.
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McKean–Vlasov Optimal Control: Limit Theory and Equivalence Between Different Formulations
Mathematics of Operations Research, 2022Dylan Possamaï, Xiaolu Tan
exaly
Proceedings of the National Academy of Sciences of the United States of America, 2021
Pascal Hunziker +2 more
exaly
Pascal Hunziker +2 more
exaly