Generally, the Lyapunov functions to prove the stability is used, but can only use the two given measure functions to estabilish the stability critera for nonlinear differential systems.
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傅希林 王琳. h0,h映射与(h0,h)-稳定性[J]. 科学技术与工程, 2005, (5): 262-263. FU Xilin, WANG Lin. h0,h Maps and (h0,h)- Stability[J]. Science Technology and Engineering,2005,(5):262-263.