论文标题
反馈稳定性分析通过动态供应速率通过消散性分析
Feedback Stability Analysis via Dissipativity with Dynamic Supply Rates
论文作者
论文摘要
我们提出了非线性系统的动态供应率的一般散发性概念。这扩展了经典的消散性，并通过静态供应率和其他二次形式的动态供应率。本文的主要结果涉及非线性反馈耗散系统的Lyapunov和渐近稳定性分析，这些系统的特征是相对于兼容的动态供应率，但涉及可能不同且独立的辅助系统。重要的是，提供了反馈系统状态稳定性的耗散条件，而不必担心辅助系统状态的稳定性。关键结果还专门针对通过动态（PSI，PI，PI，Upsilon，Omega）描述的两个非线性系统的简单耦合测试进行互连，并显示出在文献中恢复文献中的几个现有结果，包括小型生物，被动性指数，静态（Q，s，q，s，r）的分析，包括静态的成本，统治性，统治性，及时式，以置于术语，反映效率，即可进行，以置于术语，否定性，以置于外观，以置于术语，即及时效率。还进行了整体二次约束。
We propose a general notion of dissipativity with dynamic supply rates for nonlinear systems. This extends classical dissipativity with static supply rates and dynamic supply rates of miscellaneous quadratic forms. The main results of this paper concern Lyapunov and asymptotic stability analysis for nonlinear feedback dissipative systems that are characterised by dissipation inequalities with respect to compatible dynamic supply rates but involving possibly different and independent auxiliary systems. Importantly, dissipativity conditions guaranteeing stability of the state of the feedback systems, without concerns on the stability of the state of the auxiliary systems, are provided. The key results also specialise to a simple coupling test for the interconnection of two nonlinear systems described by dynamic (Psi, Pi, Upsilon, Omega)-dissipativity, and are shown to recover several existing results in the literature, including small-gain, passivity indices, static (Q, S, R)-dissipativity, dissipativity with terminal costs, etc. Comparison with the input-output approach to feedback stability analysis based on integral quadratic constraints is also made.
