The paper is concerned with the problem of input feedback stabilization for nonlinear control systems with logarithmic quantized signals. First of all, the above-mentioned system is converted into a hybrid control system, and a relation is given between the solutions of the two systems. Then, by using a Lyapunov function approach, a sufficient condition is proposed to ensure that the hybrid system is uniformly globally pre-asymptotically stable (UGpAS). A crucial step is to find an appropriate Lyapunov function for the system which verifies its stability in the sense of the hybrid framework. Furthermore, a bound of the quantization density is given to guarantee the stability for the nonlinear feedback control systems with the logarithmic quantization. Finally, we give some examples to illustrate the effectiveness of the proposed theorems and compare our results with the existing results.

中文翻译：

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对数量化信号非线性控制系统的镇定分析

该论文涉及对数量化信号的非线性控制系统的输入反馈稳定问题。首先将上述系统转换为混合控制系统，并给出两个系统的解之间的关系。然后，通过使用李雅普诺夫函数方法，提出了一个充分条件来确保混合系统均匀全局预渐近稳定（UGpAS）。关键的一步是为系统找到合适的李雅普诺夫函数，以验证其在混合框架意义上的稳定性。此外，给出了量化密度的界限，以保证对数量化非线性反馈控制系统的稳定性。最后，