Towards a unified theory of constrained control and estimation

该项目将调查二重性的含义以及约束控制和估计之间的其他联系。我们相信这项研究将使我们对这些问题有更丰富的了解。特别是，我们设想至少在四个领域产生影响：(i)计算问题，即为约束问题开发更有效的算法。（ii）约束问题的几何，将有关约束控制的最新结果推广到估计问题。（iii）混合约束问题，例如区间约束和有限集约束。对过滤和控制问题的限制所造成的基本限制。

The project will investigate the implications of duality and other connections between constrained control and estimation. We believe that the research will result in a richer understanding of these problems. In particular, we envisage an impact in at least four areas: (i) Computational issues, i.e., development of more efficient algorithms for constrained problems. (ii) Geometry of constrained problems, by extending recent results pertaining to constrained control to estimation problems. (iii) Problems with mixed constraints, for example, interval and finite set constraints. (iv) Fundamental limitations imposed by constraints to filtering and control problems.