Stability criteria with less LMI variables for linear system with additive time-delays

DOI10.1007/s12190-010-0402-yzbMath1232.93070OpenAlexW2068206373MaRDI QIDQ545589

Yong-Cai Geng, Sumit K. Garg

Publication date: 22 June 2011

Published in: Journal of Applied Mathematics and Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12190-010-0402-y

zbMATH Keywords

stability criterionlinear matrix inequality (LMI)delay-dependent stabilityadditive time-varying delayLyapunov-Krasovskii (LK) functional

Mathematics Subject Classification ID

Linear inequalities of matrices (15A39) Lyapunov and other classical stabilities (Lagrange, Poisson, (L^p, l^p), etc.) in control theory (93D05) Linear systems in control theory (93C05) Asymptotic stability in control theory (93D20) Linear transformations, semilinear transformations (15A04) Software, source code, etc. for problems pertaining to information and communication theory (94-04)

Related Items (4)

Robust stability of uncertain stochastic switched inertial neural networks with time‐varying delay using state‐dependent switching law ⋮ Stability analysis of linear systems with two additive time-varying delays via delay-product-type Lyapunov functional ⋮ Improved stability criteria for linear systems with two additive time-varying delays via a novel Lyapunov functional ⋮ Robust stability criterion for Markovian jump systems with nonlinear perturbations and mode-dependent time delays

Uses Software

• Matlab
• LMI toolbox
• Control System Toolbox

Cites Work

• Stability analysis for continuous system with additive time-varying delays: a less conservative result
• Stability analysis for continuous systems with two additive time-varying delay components
• Equivalence of some stability criteria for linear time-delay systems
• Time-delay systems: an overview of some recent advances and open problems.
• A new delay system approach to network-based control
• Linear Matrix Inequalities in Control
• A survey of linear matrix inequality techniques in stability analysis of delay systems
• On Equivalence and Efficiency of Certain Stability Criteria for Time-Delay Systems

This page was built for publication: Stability criteria with less LMI variables for linear system with additive time-delays