AN AUGMENTED BV SETTING FOR FEEDBACK SWITCHING CONTROL

查看全文 作　　者：Falk [1]M.HANTE;Günter [1]LEUGERING;Thomas [2]I.SEIDMAN 机构地区：[1]Department Mathematik,Lehrstuhl für Angewandte Mathematik Ⅱ,Universitt Erlangen-Nürnberg;[2]Department of Mathematics and Statistics,University of Maryland Baltimore County 出　　处：《Journal of Systems Science & Complexity》索引2010年第23卷第3期,共11页 基　　金：support of the Elite Network of Bavaria under the grant #K-NW-2004-143 摘　　要：This paper considers dynamical systems under feedback with control actions limited toswitching.The authors wish to understand the closed-loop systems as approximating multi-scale problemsin which the implementation of switching merely acts on a fast scale.Such hybrid dynamicalsystems are extensively studied in the literature,but not much so far for feedback with partial stateobservation.This becomes in particular relevant when the dynamical systems are governed by partialdifferential equations.The authors introduce an augmented BV setting which permits recognition ofcertain fast scale effects and give a corresponding well-posedness result for observations with such minimalregularity.As an application for this setting,the authors show existence of solutions for systemsof semilinear hyperbolic equations under such feedback with pointwise observations. 关 键 词：开关控制 BV公司 动反馈 混合动力系统 地点 状态观测 双曲型方程组 多尺度问题