%0 Journal Article %T PRACTICAL StABILITY AND LIAPUNOV STABILITY OF DELAY SYSTEMS
时滞系统的实用稳定性和Liapunov稳定性 %A Zhaolin Wang %A
楚天广 %A 王照林 %J 力学学报 %D 1996 %I %X This paper deals mainly with practical stability in terms of two measures for nonlinear systems with finite time delay.First,a kind of Ruzumikhin type differential comparison principle and monotone criterion are introduced. Then, based on them a Liapunov- Razumikhin direct method is presented, which results in general direct criteria of pactical stabilty.These criteria reduce the problem to a set of finite dimensional differential or integral inequlities and can be verified directly according to equations of the concerned system,and therefore are convenient for practical use.Also,the Liapunov stability of delay systems is considered by the proposed method.Finally,an illustrative example is woked out. %K nonlinear delay system %K practical stability %K Liapunov stability %K Razumikhin condition %K Liapunov-Razumikhin direct method
时滞系统 %K 实用稳定性 %K 稳定性 %K 李雅普诺夫 %U http://www.alljournals.cn/get_abstract_url.aspx?pcid=6E709DC38FA1D09A4B578DD0906875B5B44D4D294832BB8E&cid=5D344E2AD54D14F8&jid=4100DA4A1A3BA1B0CE5AD99AE1DFB420&aid=A19AAE9267BC9EBA05EFF206E5E2E4CA&yid=8A15F8B0AA0E5323&vid=D3E34374A0D77D7F&iid=0B39A22176CE99FB&sid=1E41DF9426604740&eid=9F6DA927E843CD50&journal_id=0459-1879&journal_name=力学学报&referenced_num=0&reference_num=3