Strong Lyapunov functions for two classical problems in adaptive control and parameter identification are presented. These Lyapunov functions incorporate in their structure the classical persistency of excitation conditions, allowing to show global uniform asymptotic stability of the associated adaptive systems under sufficient and necessary conditions.

中文翻译：

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强大的Lyapunov函数可解决自适应控制中的两个经典问题

给出了针对自适应控制和参数辨识两个经典问题的强大Lyapunov函数。这些Lyapunov函数在其结构中结合了激励条件的经典持久性，从而可以在足够和必要的条件下显示相关自适应系统的全局一致渐近稳定性。