negative definite function 中文意思是什麼
negative definite function
解釋
負定函數-
In theorem 3. 3. 5, the derivative of lyapunov function along trajectories of system ( 1 ) does n ' t need to be required to be negative definite, which is different from functional differential systems
在定理3 3石中， lyapunov函數沿系統）的解軌線的導數在iezumikhin型條件下不再局限於常負，這一點不同於泛函微分系統 -
In this dissertation, we study some stability properties for two impulsive differential systems employing lyapunov ' s second method : one system is impulsive hybrid differential system : the other is differertial system with impulses at variable time : herein these stability results do not require a lyapunov function to have a negative definite first derivative along trajectories of the system, further we may not require its derivative to restrict the function increasing growth ; and we do not give conditions on continuous portion or discrete portion of the systems respective ! } ", hence we can give mixing conditions on them
在這篇碩士學位論文中，我們主要藉助lyapunov第二方法的思想，討論了兩類脈沖微分系統：脈沖混合微分系統和具有依賴于狀態脈沖的微分系統的穩定性問題。不同於以往的研究，本文所找的lyapunov函數沿系統軌線的一階導數不再局限於常負或定負，甚至不用其導數來限制其增長速度；不再局限於對離散或連續部分分別設置條件，而是對其離散和連續部分設置混合條件。
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