Full Text: PDF
DOI: 10.23952/jnfa.2026.18
Received August 8, 2025; Accepted February 13, 2026; Published July 6, 2026
Abstract. In this paper, we investigate the problem of feedback stabilization for a class of non-homogeneous semilinear delayed systems of neutral type evolving on a real Hilbert space. To achieve this goal, based on an appropriate decomposition of the state space, we propose a bounded feedback control that depends only on the state projection on a suitable subspace to study the strong stabilization. Sufficient conditions are formulated in terms of observability like assumptions. The rate of strong stabilization is explicitly given. Finally, we illustrate the obtained results on some functional differential equations of neutral type.
How to Cite this Article:
M. Fakhri, A. El Houch, Y. Benslimane, Strong stabilization and decay estimate for a class of non-homogeneous semilinear delayed systems of neutral type, J. Nonlinear Funct. Anal. 2026 (2026) 18.