Delay-independent stability of switched linear systems with unbounded time-varying delays

DOI10.1155/2012/560897zbMath1242.93106OpenAlexW2165836747WikidataQ58695525 ScholiaQ58695525MaRDI QIDQ437577

Yuan Gong Sun

Publication date: 18 July 2012

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2012/560897

Mathematics Subject Classification ID

Lyapunov and other classical stabilities (Lagrange, Poisson, (L^p, l^p), etc.) in control theory (93D05)

Related Items (10)

Stability analysis of a class of switched nonlinear systems with delays: a trajectory-based comparison method ⋮ Robust stabilization and disturbance rejection of positive systems with time-varying delays and actuator saturation ⋮ Exponential stabilization of switched time-varying systems with delays and disturbances ⋮ Stability analysis of positive switched systems via joint linear copositive Lyapunov functions ⋮ Stabilization of planar non-Markovian switched linear systems with unbounded random delays ⋮ Robust observer design for switched positive linear system with uncertainties ⋮ Finite-time boundedness analysis for a class of switched linear systems with time-varying delay ⋮ Switched convergence of second-order switched homogeneous systems ⋮ On existence of stabilizing switching laws within a class of unstable linear systems ⋮ On exponential stabilizability for a class of switched nonlinear systems with mixed time-varying delays

Cites Work

• Unnamed Item
• Unnamed Item
• On linear co-positive Lyapunov functions for sets of linear positive systems
• Copositive Lyapunov functions for switched systems over cones
• Stability of switched systems: a Lie-algebraic condition
• Switching in systems and control
• Switched linear systems. Control and design.
• Lie-Algebraic Stability Criteria for Switched Systems
• Basic problems in stability and design of switched systems
• On the Stability of Positive Linear Switched Systems Under Arbitrary Switching Laws
• Stability Analysis for Continuous-Time Positive Systems With Time-Varying Delays
• Linear Copositive Lyapunov Functions for Continuous-Time Positive Switched Systems
• Asymptotic Stability Analysis of a Kind of Switched Positive Linear Discrete Systems $ $
• A General Stability Test for Switched Positive Systems Based on a Multidimensional System Analysis
• On quadratic lyapunov functions
• A result on common quadratic Lyapunov functions
• Improved Overshoot Estimation in Pole Placements and Its Application in Observer-Based Stabilization for Switched Systems
• On the Stability of Switched Positive Linear Systems
• A Counterexample to a Conjecture of Gurvits on Switched Systems
• On Linear Copositive Lyapunov Functions and the Stability of Switched Positive Linear Systems
• Stability Analysis of Positive Switched Linear Systems With Delays
• Stabilization of Switched Systems With Nonlinear Impulse Effects and Disturbances

This page was built for publication: Delay-independent stability of switched linear systems with unbounded time-varying delays