Quantitative local L2‐gain and Reachability analysis for nonlinear systems
Quantitative local L2‐gain and Reachability analysis for nonlinear systems
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非线性系统的定量局部 L2 增益和可达性分析
DOI：
10.1002/rnc.2948
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发表时间：
2013
影响因子：
3.9
通讯作者：
A. Packard
中科院分区：
文献类型：
--
作者：
Erin Summers;Abhijit Chakraborty;Weehong Tan;U. Topcu;P. Seiler;G. Balas;A. Packard
本文发展了非线性系统的定量局部分析的理论和数值工具。具体地说，给出了在范数有界扰动输入下非线性系统的可达集和L2增益的界的充分条件。主要的理论结果是经典耗散不等式的扩展，但只在局部区域的状态和输入空间。计算算法是从这些局部结果通过限制到多项式系统，使用凸松弛，例如S过程，并应用平方和优化。几个教学和现实的例子来说明所提出的方法。版权所有© 2013约翰威利父子有限公司.
This paper develops theoretical and numerical tools for quantitative local analysis of nonlinear systems. Specifically, sufficient conditions are provided for bounds on the reachable set and L2 gain of the nonlinear system subject to norm‐bounded disturbance inputs. The main theoretical results are extensions of classical dissipation inequalities but enforced only on local regions of the state and input space. Computational algorithms are derived from these local results by restricting to polynomial systems, using convex relaxations, for example the S‐procedure, and applying sum‐of‐squares optimizations. Several pedagogical and realistic examples are provided to illustrate the proposed approach. Copyright © 2013 John Wiley & Sons, Ltd.
影响因子：
6.8
作者：
James Anderson;A. Papachristodoulou
通讯作者：
James Anderson;A. Papachristodoulou