A PRIVATE SOLUTION OF THE BROKETT STABILIZATION PROBLEM
Keywords:
control of a kind, kind, matrix, auxiliary problem, system, differential equationAbstract
In the present paper, sufficient conditions are obtained under which the system will be not only asymptotically stable in the sense of Lyapunov, but also exponentially stable in the whole (i.e., under any initial conditions). In addition, a constructive method is proposed for choosing a matrix that solves Brockett's problem.
References
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Leonov G.A. The Brockett stabilization problem // Automation and Remote Control, vol. 62, No. 5, 2001. – P. 847-849.
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Ройтенберг Я.Н. Автоматическое управление. М.: Наука, 1992. – 576 с.
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