Ivokhin, E. V.; Khusainov, D. Ya. Optimization of estimates of characteristics of dynamical systems. (Russian) Zbl 1104.34324 Ukrainian mathematical congress – 2001, Kiev, Ukraine, August 21–23, 2001. Proceedings. Section 2. Dynamical analysis. Kyïv: Instytut Matematyky NAN Ukraïny (ISBN 966-02-3009-5). 34-45 (2003). Summary: For linear stationary systems of ordinary differential equations, optimal Lyapunov functions are constructed. These functions give the optimal mean square estimates on parameters of the system.For the entire collection see [Zbl 1048.00017]. MSC: 34D20 Stability of solutions to ordinary differential equations 93D30 Lyapunov and storage functions Keywords:asymptotic stability; linear system; over-control; optimisation; quadratic Lyapunov function; transients PDF BibTeX XML Cite \textit{E. V. Ivokhin} and \textit{D. Ya. Khusainov}, in: Ukraïns'kyj matematychnyj kongres -- 2001. Pratsi. Sektsiya 2. Dynamichni systemy. Kyïv: Instytut Matematyky NAN Ukraïny. 34--45 (2003; Zbl 1104.34324)