An attainable sets approach to optimal control of functional differential equations with function space terminal conditions.
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Engineering topics
Publications and source records attributed to Jacobs, M. Q..
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A solution is presented to an optimization problem for time lag systems by the classical method of Lagrange multipliers in a Banach space. Following terminology and assumption definitions, the regularity and controllability of the Lagrange multipliers problem is discussed, and a set of necessary conditions for an optimal control is derived. In conclusion, the solution existence, uniqueness, and sufficiency are established.
Optimization problems involving linear systems with retardations in the controls are studied in a systematic way. Some physical motivation for the problems is discussed. The topics covered are: controllability, existence and uniqueness of the optimal control, sufficient conditions, techniques of synthesis, and dynamic programming. A number of solved examples are presented.
Linear functional differential equations trajectory optimization, proving maximal principle
Synthesis of optimal controls for linear problems with retarded controls
Differential calculus for multifunctions using Radstrom embedding theorem for convex sets
Synthesis of optimal controls for linear systems with retarded controls
Lagrange multiplier in Banach space for settling optimal control in time lag system
Optimal control of linear functional differential equations