论文标题
扩散问题中的区域指数一般可观察性
Regional exponential general observability in diffusion problem
论文作者
论文摘要
本文的目的是将区域指数式一般可观察性的概念扩展到扩散系统中的诺伊曼边界条件问题。更确切地说，对于线性分布式参数扩散系统，我们表明传感器的表征允许在所考虑的系统域的子区域中重建区域指数状态。此外，在特定情况下给出并说明了与传感器选择相关的各种有趣的结果，以实现区域指数的一般可观察性概念。最后，我们还表明，存在扩散系统的动力学系统不是通常的一般意义上的指数呈指数，但它可能是可观察到的区域指数的一般通用。
The aim of this paper is to extend the concept of regional exponential general observability to the case of Neumann boundary conditions problem in diffusion system. More precisely, for linear distributed parameter diffusion systems, we show that the sensors characterizations allow to reconstruct the regional exponential state in a sub-region of the considered systems domain. Moreover, various interesting results associated with the choice of sensors are given and illustrated in specific situations in order regional exponential general observability notion to be achieved. Finally, we also show that, there exists a dynamical system for diffusion system is not exponential general observable in the usual sense, but it may be regional exponential general observable.
