A further refinement of discretized Lyapunov functional method for the stability of time-delay systems

2001/01/01 by Keqin Gu · 253 citations
Engineering · Mathematics · #Applied mathematics #Computer science #Control (management) #Control theory (sociology) #Convergence (economics) #Discretization #Lyapunov function #Mathematical analysis #Mathematical optimization #Mathematics #Nonlinear system #Numerical methods for differential equations #Stability (learning theory) #Stability and Control of Uncertain Systems #Stability and Controllability of Differential Equations #Variable (mathematics)

paper · doi:10.1080/00207170110047190

published in International Journal of Control 74(10), 967-976 (Taylor & Francis)

openalex publication_date 2001/01/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/29

Abstract

The discretized Lyapunov functional method for the stability problem of time-delay systems is further refined using a combination of integral inequality and variable elimination technique. As a result, the computational requirement is further reduced for the same discretization mesh. For systems without uncertainty, the convergence to the analytical solution is greatly accelerated. For uncertain systems, the new method is much less conservative. Numerical examples are presented to illustrate the effectiveness of the method.

Cited by

• LMI Properties and Applications in Systems, Stability, and Control Theory
• Further results on robust stability for uncertain neutral systems with distributed delay. [europepmc]

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