ALGORITHMS FOR MINIMIZING THE BOUNDARY VALUES OF THE QUADRATIC QUALITY CRITERION BASED ON APPROXIMATION METHODS
Chemical Technology, Control and Management, Vol: 2024, Issue: 5, Page: 123-127
2024
- 7Usage
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Example: if you select the 1-year option for an article published in 2019 and a metric category shows 90%, that means that the article or review is performing better than 90% of the other articles/reviews published in that journal in 2019. If you select the 3-year option for the same article published in 2019 and the metric category shows 90%, that means that the article or review is performing better than 90% of the other articles/reviews published in that journal in 2019, 2018 and 2017.
Citation Benchmarking is provided by Scopus and SciVal and is different from the metrics context provided by PlumX Metrics.
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Article Description
This paper considers approximation methods for solving optimization problems while discussing the possibility to reduce the large amount of calculations. Hence, the approximation range is selected in accordance with the optimal value of the quality indicator. To do this, the upper and lower boundaries are being calculated followed by generating the control sequences that minimize the specified boundaries. The next step is to find an approximate solution. An approximate solution to the dual control problem comes from the problem of optimal control of a linear Gaussian system with a quadratic quality criterion and unknown parameters. For the dual control problem, according to the minimization procedure using the dynamic programming method, an optimal loss function VN-k (x(k)/Zk) is determined for a (N-k) -step process with an initial state. The optimal loss function must satisfy the Bellman equation. By solving the equation, it is possible to obtain a quadratic form that does not have the property of reproducibility. To calculate the matrices U or T of quadratic form, the method for obtaining recurrent expressions is unknown. To take into account the required active control, U or T must be calculated at the rate of the real process.
Bibliographic Details
Tashkent State Technical University named after Islam Karimov - DIGITAL COMMONS JOURNALS
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