Stability Analysis for a Class of Partial Differential Equations via Semidefinite Programming
Stability Analysis for a Class of Partial Differential Equations via Semidefinite Programming
复制标题
一类偏微分方程的半定规划稳定性分析
DOI：
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发表时间：
2016
影响因子：
6.8
通讯作者：
A. Papachristodoulou
中科院分区：
文献类型：
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作者：
G. Valmórbida;M. Ahmadi;A. Papachristodoulou
本文研究了一维有界域上具有多项式被积函数的标量积分不等式。我们提出的条件来验证积分不等式的微分矩阵不等式。这些条件允许验证由因变量的边界值定义的子空间中的不等式。结果被应用到解决所产生的积分不等式的李雅普诺夫稳定性分析偏微分方程。实例说明了结果。
This paper studies scalar integral inequalities in one-dimensional bounded domains with polynomial integrands. We propose conditions to verify the integral inequalities in terms of differential matrix inequalities. These conditions allow for the verification of the inequalities in subspaces defined by boundary values of the dependent variables. The results are applied to solve integral inequalities arising from the Lyapunov stability analysis of partial differential equations. Examples illustrate the results.