Stability, stabilization and duality for linear time-varying systems

DOI10.1080/02331930801950845zbMath1209.93123OpenAlexW2021152141MaRDI QIDQ3577840

Vaithilingam Jeyakumar, Vu Ngoc Phat

Publication date: 26 July 2010

Published in: Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/02331930801950845

zbMATH Keywords

stabilitystabilizationLyapunov equationtime-varying systemsdualityRiccati equation

Mathematics Subject Classification ID

Stabilization of systems by feedback (93D15) Stability of solutions to ordinary differential equations (34D20) Duality theory (optimization) (49N15)

Related Items (3)

A constructive test for exponential stability of linear time-varying discrete-time systems ⋮ Weak exponential stability of linear time-varying differential behaviors ⋮ Stabilising compensators for linear time-varying differential systems

Cites Work

• Inequality systems and optimization
• Stabilization of linear nonautonomous systems with norm-bounded controls
• Stability for time varying linear dynamic systems on time scales
• Global stabilization for linear continuous time-varying systems
• Investigating duality on stability conditions
• Über das Vorkommen definiter und semidefiniter Formen in Scharen quadratischer Formen
• Control of slowly-varying linear systems
• Linear-Quadratic Optimal Control of Hereditary Differential Systems: Infinite Dimensional Riccati Equations and Numerical Approximations
• Input/output norms in general linear systems
• Stabilizability of linear time-varying and uncertain linear systems
• On the stability of time-varying differential equations^*
• New conditions for the exponential stability of evolution equations
• Robust stability of a class of linear time-varying systems
• Necessary and sufficient conditions for quadratic stability and stabilizability of uncertain linear time-varying systems
• Semidefinite programming duality and linear time-invariant systems
• An LMI condition for the robust stability of uncertain continuous-time linear systems

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