Avtomat. i Telemekh., 2019, Issue 2, Pages 46–63
Optimization of bilinear systems subjected to exogenous disturbances. I. Analysis
M. V. Khlebnikov
V. A. Trapeznikov Institute of Control Sciences of Russian Academy of Sciences, Moscow
The results associated with analysis problem for bilinear systems subjected to arbitrary bounded exogenous disturbances is presented. An approach is proposed to the construction of the so-called stabilizability ellipsoid and stabilizability domain for quadratic dynamical systems in both the continuous and discrete time versions. The main tool of this approach is the linear matrix inequality technique. This simple yet versatile approach has high potential in extensions and generalizations; partially, it is equally applicable to robust versions of the problem.
bilinear systems, exogenous disturbances, stabilizability ellipsoid, stabilizabiilty domain, linear matrix inequalities
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Presented by the member of Editorial Board: B. T. Polyak
M. V. Khlebnikov, “Optimization of bilinear systems subjected to exogenous disturbances. I. Analysis”, Avtomat. i Telemekh., 2019, no. 2, 46–63
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\paper Optimization of bilinear systems subjected to exogenous disturbances. I.~Analysis
\jour Avtomat. i Telemekh.
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