This paper presents necessary and sufficient conditions for uniform exponential stabilization of a class of nonlinear systems in Banach state spaces. The stabilization assumptions are formulated in terms of integral estimates involving the control operator and the state of the uncontrolled version of the system at hand. An explicit estimate of the convergence speed is given. Applications to feedback stabilization of affine control systems are given. Illustrative examples are further provided.

中文翻译：

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Banach空间中非线性系统的一致指数镇定

本文为Banach状态空间中一类非线性系统的均匀指数镇定提供了充要条件。稳定假设是根据涉及控制操作员和手头系统非控制版本状态的整体估计来制定的。给出了收敛速度的显式估计。给出了仿射控制系统的反馈稳定化的应用。还提供了说明性示例。