Abstract
We consider bilinear autonomous control systems in the complex space. To solve the problem of stabilization of these systems, we apply the method of Lyapunov functions to complex-valued systems. The Jurdjevic–Quinn approach is used which is based on the Barbashin–Krasovsky–La Salle theorem on global asymptotic stability. We obtain sufficient conditions for global asymptotic stabilization of a bilinear complex system by real state feedback. Finally, examples of using the obtained results are presented.
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