Abstract:
In this work , the necessary and at the same time sufficient conditions were found to improve the linear constant regulator. The set task typically involves achieving a specific goal without focusing on optimization, whereas the optimal control problem aims to find the best control strategy to optimize a performance measure, considering system dynamics and constraints. In essence, set tasks aim for achievement, while optimal control problems seek to optimize performance under given conditions is clarified over an unlimited period of time. The essence of the optimal conditions obtained is illustrated by an example
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