Stability analysis of PE systems via Steklov's averaging technique

DOI10.1002/acs.2694zbMath1358.93143OpenAlexW2403127382MaRDI QIDQ2970852

Alexander Yu. Pogromsky, Alexey S. Matveev

Publication date: 31 March 2017

Published in: International Journal of Adaptive Control and Signal Processing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/acs.2694

zbMATH Keywords

direct Lyapunov methodpersistency of excitation

Mathematics Subject Classification ID

Lyapunov and other classical stabilities (Lagrange, Poisson, (L^p, l^p), etc.) in control theory (93D05) Asymptotic stability in control theory (93D20) Control/observation systems governed by ordinary differential equations (93C15)

Related Items (4)

Analysis of Persistently Excited Nonlinear Systems with Applications ⋮ Lyapunov differential equations and inequalities for stability and stabilization of linear time-varying systems ⋮ Averaging of linear systems with almost periodic coefficients: a time-delay approach ⋮ Uniform stability of homogeneous time-varying systems

Cites Work

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• Uniform exponential stability of linear time-varying systems: revisited.
• Stability Analysis via Averaging Functions
• Estimation of topological entropy via the direct Lyapunov method
• Stability of Systems With Uncertain Delays: A New “Complete” Lyapunov–Krasovskii Functional
• Lyapunov functionals and Lyapunov matrices for neutral type time delay systems: a single delay case
• Design of impulsive adaptive observers for improvement of persistency of excitation
• New Lyapunov-Krasovskii functionals for stability of linear retarded and neutral type systems

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