On Strict Causality Conditions for Descriptor Systems With Unknown Inputs

作     者：Paitandi, Mamoni Gupta, Mahendra Kumar 

作者机构：Natl Inst Technol Jamshedpur Dept Math Jamshedpur 831014 Jharkhand India Indian Inst Technol Bhubaneswar Dept Math Khordha 752050 Odisha India 

出 版 物：《IEEE ACCESS》 (IEEE Access)

年 卷 期：2024年第12卷

页      面：195544-195551页

核心收录：

主　　题：Cause effect analysis Matrix decomposition Mathematical models Indexes Vectors Trajectory Control systems Transforms Terminology Systems modeling Causality differential-algebraic equations (DAEs) descriptor systems impulses strict causality unknown inputs 

摘      要：This article investigates descriptor systems with unknown inputs that are not necessarily regular. The concept of strict causality is introduced to address the impulsive behavior of the system caused by unknown inputs and differentiating control inputs. By applying a decomposition, a reduced system is obtained, from which the unknown inputs are subsequently eliminated. Initially, conditions for causality and strict causality are presented in terms of the coefficient matrices of the reduced systems, both with and without unknown inputs. Using the strict causality of the reduced system, the strict causality condition of the original system is derived. The process to obtain these conditions is based on numerically stable orthogonal transformations. The proposed theory is elaborated with two numerical examples, demonstrating the practical relevance of the approach.