Linear Port-Hamiltonian Systems Are Generically Controllable

• 成果类型: Article
• 署名作者: Kirchhoff, Jonas
• 署名单位: Technische Universitat Ilmenau
• 刊物名称: IEEE TRANSACTIONS ON AUTOMATIC CONTROL
• ISSN/ISSBN: 0018-9286
• DOI: 10.1109/TAC.2021.3098176
• 发表日期: 2022
• 页码: 3220-3222
• 关键词: TV; TOPOLOGY; STANDARDS; Kalman filters; Random variables; Periodic structures; ordinary differential equations; CONTROLLABILITY; Linear systems; port-Hamiltonian systems

摘要

The new concept of relative generic subsets is introduced. It is shown that the set of controllable linear finite-dimensional port-Hamiltonian systems is a relative generic subset of the set of all linear finite-dimensional port-Hamiltonian systems. This implies that a random, continuously distributed port-Hamiltonian system is almost surely controllable.