Abstract
Based on the properties of the discrete Volterra operator, a linear-quadratic problem of optimization of 2-D system is studied. The existence and uniqueness of the optimal control are proved. The presentation is obtained of the optimal control in the form of a linear function of dual variables and also in the form of linear feedback in a frequency range.
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Gaishun, I.V., Dymkov, M.P. A Linear-Quadratic Problem of Optimization of Composite Discrete 2-D Control Systems. Automation and Remote Control 63, 234–245 (2002). https://doi.org/10.1023/A:1014295507991
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DOI: https://doi.org/10.1023/A:1014295507991