Constructibility of a causal/impulse free NDS using descriptor form subsystems

作     者：Tong ZHOU Tong ZHOU

作者机构：Department of Automation and BNRist Tsinghua University 

出 版 物：《Science China(Information Sciences)》 (中国科学:信息科学(英文版))

年 卷 期：2022年第65卷第4期

页      面：197-211页

核心收录：

学科分类：0711[理学-系统科学] 07[理学] 071102[理学-系统分析与集成] 

基　　金：supported in part by National Natural Science Foundation of China (Grant Nos. 61733008  52061635102  61573209) 

主　　题：causality descriptor system impulse free large scale system networked dynamic system singular system 

摘      要：Requirements are investigated in this paper for each descriptor form subsystem, with which a causal/impulse free networked dynamic system(NDS) can be constructed. For this purpose, a matrix rank-based necessary and sufficient condition is at first derived for the causality/impulse freeness of an NDS,with the matrix depending affinely on subsystem connections. From this result, a necessary and sufficient condition is derived on each subsystem for causal/impulse free NDS constructibility. This condition further leads to a necessary and sufficient condition for the existence of a local static output feedback that guarantees the construction of a causal/impulse free NDS. Remarkably, all the numerical computations involved in these conditions are performed independently on each individual subsystem. Situations have also been clarified in which NDS causality/impulse freeness is independent of subsystem connections. It has also been made clear that local static output feedbacks may not be helpful in constructing a causal NDS.