Stabilization of systems with power nonlinearity
Abstract
The stabilization problem for nonlinear uncontrollable with respect to the first approximation system $\dot x_1=u$, $\dot x_2=x_1$, \ldots, $\dot x_{n-1}=x_{n-2}$, $\dot x_n=x_{n-1}^{2k+1}$ is considered in this work. The construction of stabilizing control is based on Lyapunov function method, attraction domain is described.
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References
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