solidot新版网站常见问题,请点击这里查看。
消息
本文已被查看5703次
Automatic Generation of Bounds for Polynomial Systems with Application to the Lorenz System. (arXiv:1712.08228v1 [cs.SC])
来源于:arXiv
This study covers an analytical approach to calculate positively invariant
sets of dynamical systems. Using Lyapunov techniques and quantifier elimination
methods, an automatic procedure for determining bounds in the state space as an
enclosure of attractors is proposed. The available software tools permit an
algorithmizable process, which normally requires a good insight into the
systems dynamics and experience. As a result we get an estimation of the
attractor, whose conservatism only results from the initial choice of the
Lyapunov candidate function. The proposed approach is illustrated on the
well-known Lorenz system. 查看全文>>