Abstract
This paper addresses the problem of local stabilization of open-loop unstable nonlinear quadratic state-delayed systems with a guaranteed region of stability. For some polytopic region of the state-space containing the origin, we develop linear matrix inequality based methods for designing nonlinear static state feedback controllers by considering either the Lyapunov-Razumikhin approach or a Lyapunov-Krasovskii functional. A numerical example illustrates the potentials of the proposed local stabilization methods.
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