在這篇論文中，我們利用與被動系統和半被動系統相關的理論來討論在線性耦合下耦合系統解的有界性。我們通過稍微放寬([6])中提出之semi-passivity定義的條件來修改其定義，然後建立相應的有界性理論。最後，利用本論文介紹的有界性理論，我們推導出了Lorenz系統、Chen系統、Lü系統、Stuart-Landau系統和線性mass-spring-damper系統解的有界性標準。

In this thesis, we discuss the boundedness of solutions for coupled systems under linear coupling by utilizing theories related to passive and semi-passive systems. We modify the definition of semi-passivity proposed in ([6]) by slightly relaxing its conditions and then establish the corresponding boundedness theory. Finally, with the boundedness theories introduced in this thesis, we derive the criteria of boundedness of solutions for Lorenz system, Chen system, Lü system, Stuart-Landau system, and linear mass-spring-damper system.

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