论文标题
二次稳定性分析的二次约束
Quadratic Constraints for Local Stability Analysis of Quadratic Systems
论文作者
论文摘要
本文提出了新的二次约束（QC），以结合二次多项式。这样的QC可用于耗散范围，以分析具有二次矢量场的非线性系统的稳定性和性能。提出的QC利用某些类二次多项式的标志性分泌性。这些新的QC在特定方向上对二次术语提供了紧密的限制。与以前的工作相比，这降低了QC边界的保守性。提供了两个局部稳定性分析的数值示例，以证明所提出的QC的有效性。
This paper proposes new quadratic constraints (QCs) to bound a quadratic polynomial. Such QCs can be used in dissipation ineqaulities to analyze the stability and performance of nonlinear systems with quadratic vector fields. The proposed QCs utilize the sign-indefiniteness of certain classes of quadratic polynomials. These new QCs provide a tight bound on the quadratic terms along specific directions. This reduces the conservatism of the QC bounds as compared to the QCs in previous work. Two numerical examples of local stability analysis are provided to demonstrate the effectiveness of the proposed QCs.
