Multi-level Approach to the Large-scale Control Problem

  • A. Straszak
Conference paper
Part of the Lecture Notes in Operations Research and Mathematical Economics book series (LNE, volume 11/12)


Let us consider a multivariable control problem. From the theory of the optimal control [1], [5] we know that it is possible to find for some speciale case the so-called “feed-back” solution of the optimal control problem
$$ {\text{u = c (x)}} $$
where u — is a n-dimensional optimal control vector which minimized the index of performance
$$ {\text{I = }}\int_{{{\text{t}}_{\text{o}}}}^{{{\text{t}}_{\text{1}}}} {\;{\text{g(x,u) dt}}} $$
x — is a n-dimensional state vector of the controlled process
$$ \dot x = f\left( {x,u} \right) $$
Let us introduce the complexity measure of the optimal controller.


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© Springer-Verlag Berlin Heidelberg 1969

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  • A. Straszak

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