An optimization method for constructing Lyapunov-Krasovskii functionals in stationary lag systems |
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| Authors: | D Ya Khusainov V P Martsenyuk |
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| Institution: | (1) Department of Systems Engineering, King Fahd University of Petroleum and Minerals (KFUPM), 31261 Dhahran, Saudi Arabia |
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| Abstract: | A method is proposed for numerical construction of Lyapunov-Krasovskii functionals for analyzing the stability of linear stationary
lag systems. The functional is constructed in the form of the sum of two quadratic sums. Positive-definite matrices of quadratic
forms are found as a solution of a nonsmooth optimization problem on a convex set. Bibliography: 8 titles.
Translated fromObchyslyuval'na ta Prykladna Matematyka, No. 80, 1996, pp. 142–151. |
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