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Jacobs, M. Q.

Publications and source records attributed to Jacobs, M. Q..

An optimum settling problem for time lag systems.

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.

Jacobs, M. Q.

The synthesis of optimal controls for linear, time-optimal problems with retarded controls.

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.

Banks, H. T.