论文标题
无限尺寸的Al'Brekht方法
Al'brekht's Method in Infinite Dimensions
论文作者
论文摘要
1961年，E。G。Albrekht提出了一种最佳稳定光滑，非线性，有限尺寸，连续时间控制系统的方法。在离散时间内将该方法扩展到类似的系统，并在连续和离散的时间内扩展到某些随机系统。在本文中，我们将Albrekht的方法扩展到了某些平滑，非线性，无限尺寸，连续的时间控制系统的最佳稳定，其非线性由Fredholm Integral Operator描述。
In 1961 E. G. Albrekht presented a method for the optimal stabilization of smooth, nonlinear, finite dimensional, continuous time control systems. This method has been extended to similar systems in discrete time and to some stochastic systems in continuous and discrete time. In this paper we extend Albrekht's method to the optimal stabilization of some smooth, nonlinear, infinite dimensional, continuous time control systems whose nonlinearities are described by Fredholm integral operators.
