Analysis of Polynomial Systems With Time Delays via the Sum of Squares Decomposition
Analysis of Polynomial Systems With Time Delays via the Sum of Squares Decomposition
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DOI：
10.1109/tac.2009.2017168
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发表时间：
2009-05
影响因子：
6.8
通讯作者：
A. Papachristodoulou;M. Peet;S. Lall
中科院分区：
文献类型：
--
作者：
A. Papachristodoulou;M. Peet;S. Lall
提出了一种分析非线性时滞微分方程描述的系统平衡点的时滞无关和时滞相关鲁棒稳定性的方法，该方法利用多元多项式的平方和分解和半定规划算法构造适当的Lyapunov-Krasovskii泛函.我们用一个人口动态的例子来说明这种方法。
We present a methodology for analyzing robust independent-of-delay and delay-dependent stability of equilibria of systems described by nonlinear Delay Differential Equations by algorithmically constructing appropriate Lyapunov-Krasovskii functionals using the sum of squares decomposition of multivariate polynomials and semidefinite programming. We illustrate the methodology using an example from population dynamics.