Stability analysis of linear time-varying systems: improving conditions by adding more information about parameter variation

DOI10.1016/j.sysconle.2011.02.010zbMath1214.93077OpenAlexW2077008542MaRDI QIDQ539916

Leonardo Amaral Mozelli, Reinaldo Martinez Palhares

Publication date: 31 May 2011

Published in: Systems \& Control Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.sysconle.2011.02.010

zbMATH Keywords

time-varying systemsrobust stabilityparameter dependent Lyapunov functionsLMIs

Mathematics Subject Classification ID

Lyapunov and storage functions (93D30) Linear systems in control theory (93C05) Robust stability (93D09) Control/observation systems governed by ordinary differential equations (93C15)

Related Items (5)

Output control of continuous-time uncertain switched linear systems via switched static output feedback ⋮ Robust Exponential Stability Analysis of Uncertain Discrete Time‐Varying Linear Systems ⋮ Robust and nonlinear control literature survey (No. 25) ⋮ PID Design via LMIs: Improved Transient Response with Robustness to Uncertain Time-Delay ⋮ New gain-scheduling control conditions for time-varying delayed LPV systems

Cites Work

• Robust stability of time-varying polytopic systems via parameter-dependent homogeneous Lyapunov functions
• Reducing conservativeness in recent stability conditions of TS fuzzy systems
• Time-invariant uncertain systems: a necessary and sufficient condition for stability and instability via homogeneous parameter-dependent quadratic Lyapunov functions
• Performance improvement of robust controllers for polynomially uncertain systems
• Homogeneous polynomial forms for robustness analysis of uncertain systems
• Robust stability of time varying polytopic systems
• New strategy for robust stability analysis of discrete-time uncertain systems
• Affine parameter-dependent Lyapunov functions and real parametric uncertainty
• LMI Conditions for the Stability of Linear Uncertain Polynomially Time-Varying Systems
• New Approach to Robust<tex>$ cal D$</tex>-Stability Analysis of Linear Time-Invariant Systems With Polytope-Bounded Uncertainty
• Stability analysis and gain-scheduled state feedback control for continuous-time systems with bounded parameter variations

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