论文标题

以散发性的增量形式

On the incremental form of dissipativity

论文作者

Sepulchre, Rodolphe, Chaffey, Thomas, Forni, Fulvio

论文摘要

遵循Zames的开创性工作,70年代的输入输出理论承认,在非线性反馈系统分析中研究的相关属性是增量属性(例如增量增益)。然而,非计算分析占据了80年代非线性控制中耗散理论的使用。连接耗散理论和增量分析的结果分散,进展受到限制。该摘要调查了这种理论差距是否具有基本性质,并考虑了绕过它的新途径。

Following the seminal work of Zames, the input-output theory of the 70s acknowledged that incremental properties (e.g. incremental gain) are the relevant quantities to study in nonlinear feedback system analysis. Yet, non-incremental analysis has dominated the use of dissipativity theory in nonlinear control from the 80s. Results connecting dissipativity theory and incremental analysis are scattered and progress has been limited. This abstract investigates whether this theoretical gap is of fundamental nature and considers new avenues to circumvent it.

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