This technical note considers the global stabilization problem for a class of nonlinear systems with unknown power (exponent) drifts. Based on the concept of interval homogeneity with monotone degrees, the allowable bounds of the unknown power drifts can be explicitly determined to guarantee the solvability of the problem. The technique of adding a power integrator is revamped based on a new Lyapunov function with interval parameters and is recursively employed to construct a global stabilizer for the nonlinear systems.
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Su et al. (2016) studied this question.
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