Positivity and stability analysis for linear implicit difference delay equations

DOI10.1016/j.laa.2016.08.012zbMath1352.34084OpenAlexW2511320741MaRDI QIDQ501216

Nguyen Huu Sau, Niamsup, Piyapong, Vu Ngoc Phat

Publication date: 29 December 2016

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.laa.2016.08.012

zbMATH Keywords

stabilitypositivitydifference equationstime-varying delayimplicit systems

Mathematics Subject Classification ID

Lyapunov and other classical stabilities (Lagrange, Poisson, (L^p, l^p), etc.) in control theory (93D05) Asymptotic stability in control theory (93D20) Stability of solutions to ordinary differential equations (34D20)

Related Items (6)

Almost local stability in discrete delayed chaotic systems ⋮ Exponential Stability and Robust Stability for Linear Time-Varying Singular Systems of Second Order Difference Equations ⋮ Exponentially practical stability of discrete time singular system with delay and disturbance ⋮ New results on reachable sets bounding for delayed positive singular systems with bounded disturbances ⋮ On the positivity, excitability and transparency properties of a class of time-varying bilinear dynamic systems under multiple point internal and external delays ⋮ Positivity and exponential stability of discrete-time coupled homogeneous systems with time-varying delays

Cites Work

• Unnamed Item
• Unnamed Item
• Admissibility and dissipativity analysis for discrete-time singular systems with mixed time-varying delays
• Positivity of discrete singular systems and their stability: an LP-based approach
• A descriptor system approach to robust stability of uncertain neutral systems with discrete and distributed delays
• Robust finite-time stability of linear differential-algebraic delay equations
• Stability analysis of positive descriptor systems
• Singular control systems
• Numerical integration of positive linear differential-algebraic systems
• A note on the existence of a solution and stability for Lipschitz discrete-time descriptor systems
• On exponential stability of linear singular positive delayed systems
• Relationships between asymptotic stability and exponential stability of positive delay systems
• On Positivity and Stability of Linear Volterra Systems with Delay
• Positive Forms and Stability of Linear Time-Delay Systems
• Stability Analysis of Implicit Difference Equations Under Restricted Perturbations
• Stability and Robust Stability of Linear Time-Invariant Delay Differential-Algebraic Equations
• Characterizations of Real Matrices of Monotone Kind
• Decentralized \(H_\infty\) controller design: A matrix inequality approach using a homotopy method

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