Stabilizability with bounded feedback for analytic linear control systems

2025/10/28 by Ma, Yaxing, Trélat, Emmanuel, Wang, Lijuan +1
#93B52 #93C25 #93D15 #FOS: Mathematics #Optimization and Control (math.OC)

paper · doi:10.48550/arxiv.2510.23953

Abstract

In this paper, we give sufficient conditions under which linear abstract control systems for which the semigroup is analytic are stabilizable with a bounded feedback. We obtain various characterizations of that property, which extend some earlier works. We illustrate our findings with several examples.

Citations

• Control in finite and infinite dimension
• Frequency-domain criterion on the stabilizability for infinite-dimensional linear control systems
• Feedback law to stabilize linear infinite-dimensional systems
• Characterizations of complete stabilizability
• Local rapid stabilization for a Korteweg-de Vries equation with a Neumann boundary control on the right
• Rapid stabilization in a semigroup framework
• Locally Distributed Control and Damping for the Conservative Systems
• Controllability and Stabilizability Theory for Linear Partial Differential Equations: Recent Progress and Open Questions

Related

• Characterizations of complete stabilizability
• Feedback stabilization of linear and bilinear unbounded systems in Banach space
• Dynamics of linear control systems and stabilization
• Relationships Between Necessary Conditions for Feedback Stabilizability
• Feedback law to stabilize linear infinite-dimensional systems