Brief paper: Discretized Lyapunov-Krasovskii functional for coupled differential-difference equations with multiple delay channels

Authors:
Hongfei Li;Keqin Gu
Affiliations:
Department of Mathematics, Yulin University, Shaanxi Yulin, 719000, China;Department of Mechanical and Industrial Engineering, Southern Illinois University Edwardsville, Edwardsville, IL 62026-1805, USA
Venue:
Automatica (Journal of IFAC)
Year:
2010

Citing 5
Cited 1

Brief paper: Lyapunov-Krasovskii functional for uniform stability of coupled differential-functional equations

Automatica (Journal of IFAC)
Technical communique: Improved stability criteria and controller design for linear neutral systems

Automatica (Journal of IFAC)
Brief paper: Stability problem of systems with multiple delay channels

Automatica (Journal of IFAC)
Lyapunov-Krasovskii approach to the robust stability analysis of time-delay systems

Automatica (Journal of IFAC)
On the asymptotic stability of coupled delay differential and continuous time difference equations

Automatica (Journal of IFAC)

Brief paper: Lyapunov criteria for stability in Lp norm of special neutral systems

Automatica (Journal of IFAC)

Quantified Score

Hi-index	22.15

Visualization

Abstract

Many practical systems have a large number of state variables, but only a few components involve time delays. These components are often scalar or low dimensional, and typically only one delay is present in each such component. A special form of coupled differential-difference equations with one delay per channel proposed recently is well suited to formulate such systems. This article extends the discretized Lyapunov-Krasovskii functional method to this class of systems. In addition to generality, this formulation also drastically reduces the computational cost for a typical system, and therefore is appropriate to use even for time-delay systems of retarded type. The discretized formulation is also simpler than the previous formulation for systems with multiple delays.