论文标题
为了安全保证
Dissipativity, Convexity and Tight O'Shea-Zames-Falb Multipliers for Safety Guarantees
论文作者
论文摘要
我们开发了整体二次约束的新型凸参数化，其终端成本是凸函数的终端成本，涉及一般的O'Shea-Zames-Falb乘数。我们展示了结果的好处，以减少现有技术的保守主义，并将应用程序绘制为优化算法分析或神经网络控制器的稳定性分析。通过在多变量映射和消耗性理论的凸集成之间提供新的联系来制定发展。
We develop a novel convex parametrization of integral quadratic constraints with a terminal cost for subdifferentials of convex functions, involving general O'Shea-Zames-Falb multipliers. We show the benefit of our results for the reduction of conservatism of existing techniques, and sketch applications to the analysis of optimization algorithms or the stability analysis of neural network controllers. The development is prepared by providing a novel link between the convex integrability of a multivariable mapping and dissipativity theory.
