将具有单输入到状态增益的系统与具有区域依赖输入到状态增益的系统连接
Interconnecting a System Having a Single Input-to-State Gain With a System Having a Region-Dependent Input-to-State Gain
AI总结：
研究通过分析局部和非局部性质，得出不同输入到状态增益，并利用小增益定理分析系统连接的局部和全局稳定性，证明原点的全局渐近稳定性。
摘要：
对于ISS系统，通过分析局部和非局部性质，获得了不同的输入到状态增益。分析具有两个输入到状态增益的系统与具有单个ISS增益的系统的连接。通过运用局部（resp. 非局部）增益组合的小增益定理，得出原点（resp. 一个紧集）的局部（resp. 全局）稳定性。此外，如果原点的局部稳定性区域严格包含紧集的吸引区域，则证明原点是全局渐近稳定的。一个例子展示了该方法。
英文摘要：
For an ISS system, by analyzing local and non-local properties, it is obtained different input-to-state gains. The interconnection of a system having two input-to-state gains with a system having a single ISS gain is analyzed. By employing the Small Gain Theorem for the local (resp. non-local) gains composition, it is concluded about the local (resp. global) stability of the origin (resp. of a compact set). Additionally, if the region of local stability of the origin strictly includes the region attraction of the compact set, then it is shown that the origin is globally asymptotically stable. An example illustrates the approach.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
