无限维的Al'Brekht方法
Al'brekht's Method in Infinite Dimensions
摘要：
1961年E. G. Albrekht提出了一种光滑、非线性、有限维、连续时间控制系统的最优镇定方法。这种方法已推广到离散时间的相似系统以及连续和离散时间的某些随机系统。本文将Albrekht方法推广到一类光滑、非线性、无穷维、连续时间控制系统的最优镇定问题，这些系统的非线性用Fredholm积分算子描述。
英文摘要：
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.
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