References
Kwakernaak, H. and Sivan, R., Linear Optimal Control Systems, New York: Wiley, 1972. Translated under the title Lineinye optimal’nye sistemy upravleniya, Moscow: Mir, 1977.
Petersen, I.R. and McFarlane, D.C., IEEE Trans. Autom. Control, 1994, vol. 39, pp. 1971–1977.
Kogan, M.M., Differ. Uravn., 1999, vol. 35, no. 5, pp. 638–642.
Balandin, D.V. and Kogan, M.M., Sintez zakonov upravleniya na osnove lineinykh matrichnykh neravenstv (Synthesis of Control Laws on the Basis of Linear Matrix Inequalities), Moscow: Fizmatlit, 2007.
Gelig, A.Kh., Leonov, G.A., and Yakubovich, V.A., Ustoichivost’ nelineinykh sistem s needinstvennym sostoyaniem ravnovesiya (The Stability of Nonlinear Systems with a Nonunique Equilibrium State), Moscow: Nauka, 1978.
Gahinet, P., Nemirovski, A., Laub, A.J., and Chilali, M., The LMI Control Toolbox. For Use with Matlab. User’s Guide, Natick, MA: The MathWorks, Inc., 1995.
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Original Russian Text © D.V. Balandin, M.M. Kogan, 2007, published in Differentsial’nye Uravneniya, 2007, Vol. 43, No. 11, pp. 1570–1573.
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Balandin, D.V., Kogan, M.M. Optimal robust linear-quadratic stabilization. Diff Equat 43, 1611–1615 (2007). https://doi.org/10.1134/S001226610711016X
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DOI: https://doi.org/10.1134/S001226610711016X