Feedback Stabilization of Delayed Bilinear Systems

• Published in: Differential equations and dynamical systems Vol. 32; no. 1; pp. 87 - 100
• Main Authors: Hamidi, Z., Elazzouzi, A, Ouzahra, M.
• Format: Journal Article
• Language: English
• Published: New Delhi Springer India 01.01.2024; Springer Nature B.V
• Subjects: Computer Science; Engineering; Feedback; Mathematics; Mathematics and Statistics; Original Research; Stabilization; Thermodynamics; Time delay; Decay estimate; Bilinear systems; Feedback stabilization

In this paper, we discuss the problem of feedback stabilization for distributed bilinear systems with discrete delay evolving on a Hilbert state space. Firstly, we prove the existence and uniqueness of the mild solution of system at hand. Secondly, we study the weak and strong stabilization. More pr...