Stability analysis of linear time-varying time-delay systems by non-quadratic Lyapunov functions with indefinite derivatives

DOI10.1016/j.sysconle.2018.09.012zbMath1408.93115OpenAlexW2901816614WikidataQ128937038 ScholiaQ128937038MaRDI QIDQ1729081

Bin Zhou, Tianrui Zhao, Wim Michiels

Publication date: 27 February 2019

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

Full work available at URL: https://lirias.kuleuven.be/handle/123456789/644956

zbMATH Keywords

stability analysislinear time-varying systemstime-delay systemsnon-quadratic Lyapunov functionsindefinite time-derivatives

Mathematics Subject Classification ID

Lyapunov and storage functions (93D30) Linear systems in control theory (93C05) Asymptotic stability in control theory (93D20) Control/observation systems governed by ordinary differential equations (93C15)

Related Items (6)

Input-to-state stability of discrete-time time-varying impulsive delay systems ⋮ Fault‐alarm based hybrid control design for uncertain periodic piecewise time‐varying systems with actuator constraints ⋮ Converse stability theorems for positive linear time-varying systems ⋮ On construction of Lyapunov functions for scalar linear time-varying systems ⋮ Fixed-time synchronization of delayed impulsive inertial neural networks with discontinuous activation functions via indefinite LKF method ⋮ A class of fixed point iteration for the coupled algebraic Riccati equation

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