非线性不确定系统的鲁棒镇定与HJI微分不等式

研究一类带模有界条件的非线性不确定系统的鲁棒镇定，定义了Ｌｙａｐｕｎｏｖ意义下的鲁棒镇定概念，得到了系统鲁棒镇定的充分必要条件。结果说明，在带模有界条件下，非线性不确定系统的鲁棒可镇定性与一个扩展的Ｈａｍｉｌｔｏｎ Ｊａｃｏｂｉ－Ｉｓａａｃｓ（ＨＪＩ）微分不等式是否存在正解完全等价。

Robust Stabilization for Nonlinear Uncertain Systems and HJI Differential Inequality

The robust stabilization for a class of nonlinear uncertain systems with norm bounded condition is researched.The concept of robust stabilization is defined under sense of Lyapunov. The necessary and sufficient condition which the systems is robustly stabilizable is obtained.Under the norm bounded condition the result shows that the robust stabilization of nonlinear uncertain system is equilant to the existence of positive solution of an extended Hamilton Jacobi Isaacs differential inequality.;