Some geometric properties of Lyapunov equation and LTI system

✍ Scribed by Wei Xing; Qingling Zhang; Jianhua Zhang; Qiyi Wang

• Book ID: 104105680
• Publisher: Elsevier Science
• Year: 2001
• Tongue: English
• Weight: 85 KB
• Volume: 37
• Category: Article
• ISSN: 0005-1098
• DOI: 10.1016/s0005-1098(00)00146-1

✦ Synopsis

While many algebraic properties of Lyapunov equation and LTI system are well known, few geometric properties, which may be used to analyze control system properties are studied. In this paper, some new necessary and su$cient conditions based on geometry are derived for properties of the Lyapunov equation and LTI system.