Robustness of exponential stability of a class of switched positive linear systems with time delays

DOI10.1002/rnc.7115OpenAlexW4389207702MaRDI QIDQ6198178

Nguyen Khoa Son, Le Van Ngoc

Publication date: 20 March 2024

Published in: International Journal of Robust and Nonlinear Control (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/rnc.7115

zbMATH Keywords

time-delay systemsswitched systemsstability radiusstructured perturbationsrobustness of stability

Mathematics Subject Classification ID

Control/observation systems governed by functional-differential equations (93C23) Robust stability (93D09) Control/observation systems governed by functional relations other than differential equations (such as hybrid and switching systems) (93C30) Exponential stability (93D23) Positive control/observation systems (93C28)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Stability radius for structured perturbations and the algebraic Riccati equation
• On linear co-positive Lyapunov functions for sets of linear positive systems
• Stability analysis of a class of switched nonlinear systems with delays: a trajectory-based comparison method
• A formula for computation of the real stability radius
• Exponential stability of switched positive systems with unstable modes and distributed delays
• Stability analysis of positive switched systems based on a \(\Phi\)-dependent average dwell time approach
• Exponential stability analysis for a class of switched nonlinear time-varying functional differential systems
• Polynomial stability of positive switching homogeneous systems with different degrees
• Real stability radii of linear time-invariant time-delay systems
• Stability theory for nonnegative and compartmental dynamical systems with time delay
• Global exponential stability of impulsive switched positive nonlinear systems with mode-dependent impulses
• Stability of switched positive nonlinear systems
• Stability and Robustness Analysis for Switched Systems with Time-Varying Delays
• Stability analysis of switched systems with stable and unstable subsystems: an average dwell time approach
• Mathematical Systems Theory I
• Stability Radii of Linear Systems Under Multi-perturbations
• Characterizations of Positive Linear Functional Differential Equations
• Stability Analysis of Switched Time Delay Systems
• Explicit formulas for stability radii of nonnegative and Metzlerian matrices
• Robust Stability of positive continuous time systems
• Stability and Stabilizability of Switched Linear Systems: A Survey of Recent Results
• On the Stability of Positive Linear Switched Systems Under Arbitrary Switching Laws
• Linear Copositive Lyapunov Functions for Continuous-Time Positive Switched Systems
• Stability of switched systems with limiting average dwell time
• A result on common quadratic Lyapunov functions
• Conditions on the Stability of a Class of Second-Order Switched Systems
• On the Stability of Switched Positive Linear Systems
• Stability Radii of Positive Linear Functional Differential Equations under Multi-Perturbations
• Stability Analysis of Positive Switched Linear Systems With Delays
• Stability Criteria for Switched and Hybrid Systems
• Supervisory control of families of linear set-point controllers - Part I. Exact matching

This page was built for publication: Robustness of exponential stability of a class of switched positive linear systems with time delays