Stability investigation for linear periodic time-delayed systems using Fredholm theory

DOI10.1134/S0005117911010048zbMath1235.93223MaRDI QIDQ664160

Bernhard P. Lampe, Efim N. Rosenwasser

Publication date: 29 February 2012

Published in: Automation and Remote Control (Search for Journal in Brave)

zbMATH Keywords

Fredholm integral equationscharacteristic functionsingle-loop linear periodic system with time delay

Mathematics Subject Classification ID

Linear systems in control theory (93C05) Dynamical systems in control (37N35) Fredholm integral equations (45B05) Control/observation systems governed by ordinary differential equations (93C15) Stability of control systems (93D99)

Related Items (4)

Stability analysis and stabilisation in linear continuous-time periodic systems by complex scaling ⋮ The Framework for Linear Periodic Time‐Delay Systems Based on Semi‐Discretization: Stability Analysis and Control ⋮ Guaranteed cost control of periodic piecewise linear time-delay systems ⋮ H_∞ control problem of linear periodic piecewise time-delay systems

Cites Work

• Unnamed Item
• Unnamed Item
• Optimal sampled-data control systems
• A FLOQUET THEORY FOR FUNCTIONAL DIFFERENTIAL EQUATION
• Stability of linear time-periodic delay-differential equations via Chebyshev polynomials
• Stability and Stabilization of Time-Delay Systems
• Traces and determinants of linear operators

This page was built for publication: Stability investigation for linear periodic time-delayed systems using Fredholm theory