The Robust Minkowski-Lyapunov Equation

• 成果类型: Article
• 署名作者: Rakovic, Sasa, V
• 署名单位: Beijing Institute of Technology
• 刊物名称: IEEE TRANSACTIONS ON AUTOMATIC CONTROL
• ISSN/ISSBN: 0018-9286
• DOI: 10.1109/TAC.2021.3102472
• 发表日期: 2022
• 页码: 3614-3620
• 关键词: Linear matrix inequalities; Lyapunov methods; Stability criteria; indexes; Eigenvalues and eigenfunctions; dynamical systems; Aerospace electronics; Polytopic linear inclusions; robust positive invariance; STABILITY

摘要

The Lyapunov equation for polytopic linear inclusions over the space of Minkowski functions of nonempty compact and convex sets that contain the origin as an interior point is studied. In particular, necessary and sufficient conditions for the characterization, existence, and uniqueness of its fundamental solution are derived.