Stabilization analysis of time-delay Hamiltonian systems in the presence of saturation

• Published in: Applied mathematics and computation Vol. 217; no. 23; pp. 9625 - 9634
• Main Author: Sun, Wei Wei
• Format: Journal Article
• Language: English
• Published: Amsterdam Elsevier Inc 01.08.2011; Elsevier
• Subjects: Approximations and expansions; Asymptotic properties; Computation; Delay; Exact sciences and technology; Global analysis, analysis on manifolds; Hamiltonian systems; Input saturation; Mathematical analysis; Mathematical models; Mathematics; Numerical analysis; Numerical analysis. Scientific computation; Output feedback; Saturation; Sciences and techniques of general use; Stabilization; Theorems; Topology. Manifolds and cell complexes. Global analysis and analysis on manifolds; Hamiltonian systems; Input saturation; Stabilization; Delay; Lyapunov functional; Numerical analysis; Sufficient condition; Feedback; Applied mathematics; Hamiltonian system; Delay system
• ISSN: 0096-3003; 1873-5649
• DOI: 10.1016/j.amc.2011.04.044

The stabilization of a class of Hamiltonian systems with state time-delay and input saturation is addressed in this paper. Sufficient conditions are derived by using Lyapunov–Krasovskii functional theorem to guarantee the systems as well as the resulted closed-loop systems by output feedback to be asymptotically stable when input saturation effectively occurs. A numerical example is presented to illustrate the effectiveness of the obtained results in this paper.