Controllability under constraints-东北师范大学数学与统计学院
Controllability under constraints
报 告 人:: Enrique Zuazua
报告地点:: 综合教学楼106室
报告时间:: 2018年08月06日星期一15:00-16:00
报告简介:

The free heat equation is well known to preserve the non-negativity of solutions. On the other hand, due to the infinite velocity of propagation, the heat equation is null-controllable in an arbitrary small time interval.The following question then arises naturally: Can the heat dynamics be controlled under a positivity constraint on the state, requiring that the state remains non-negative all along the time dependent trajectory?We will show that, if the control time is large enough, constrained controllability holds. We will also show that it fails to be true if the control time is too short. In other words, despite of the infinite velocity of propagation, under the natural positivity constraint on the state, controllability fails when the time horizon is too short.Links with other related topics such as finite-dimensional systems, sparse control and the turnpike property will also be discussed.This presentation is based on joint work with Jérôme Lohéac (CNRS-Nantes) and Emmanuel Trélat (Paris 6) and Dario Pighin (UAM-Madrid).

 

举办单位:数学与统计学院
发 布 人:吴双 发布时间: 2018-08-05
主讲人简介:
Zuazua教授为欧洲科学院院士,从教于马德里自治大学。前任“ESIAM:COCV”主编,现任数十种国际顶尖杂志编委。Google学术引用一万余次,为科学情报研究所(ISI)“高引作者”。在欧洲数学大会(ECM)、国际数学家大会(ICM)等数十次会议上做邀请报告。多次受邀访问欧美、拉丁美洲、亚洲等各地大学与研究所,如法国Courant研究所、巴黎六大、英国剑桥牛顿研究所、美国明尼苏达大学、巴西里约热内卢联邦大学、四川大学、复旦大学等。主要研究方向为:偏微分方程、控制理论、数值分析。