By extending the Lyapunov equation A * Q + Q A = − P to an arbitrary infinite‐dimensional Banach space, we give stability conditions for a class of linear differential systems. Relationship between stabilizability and exact null‐controllability is established. The result is applied to obtain new sufficient conditions for the stabilizability of a class of nonlinear control systems in Banach spaces.
No takes yet. Share an insight, caveat, or question.
Phat et al. (2002) studied this question.
Synapse has enriched 5 related papers. Consider them for comparative context: