On global asymptotic stability of \(\dot{x}=-\phi(t)\phi^\top(t)x\) with \(\phi\) not persistently exciting

DOI10.1016/j.sysconle.2017.09.005zbMath1377.93131OpenAlexW2766483055MaRDI QIDQ1690968

Nikita Barabanov, Romeo S. Ortega

Publication date: 12 January 2018

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

Full work available at URL: https://doi.org/10.1016/j.sysconle.2017.09.005

zbMATH Keywords

linear time-varying systemsstability theorypersistency of excitation

Mathematics Subject Classification ID

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

Related Items (13)

Generalized recursive least squares: stability, robustness, and excitation ⋮ Adaptive state estimation of state-affine systems with unknown time-varying parameters ⋮ On dynamic regressor extension and mixing parameter estimators: two Luenberger observers interpretations ⋮ Analysis of Persistently Excited Nonlinear Systems with Applications ⋮ A composite adaptive robust control for nonlinear systems with model uncertainties ⋮ Fixed-time estimation of parameters for non-persistent excitation ⋮ Relaxation for online frequency estimator of bias‐affected damped sinusoidal signals based on Dynamic Regressor Extension and Mixing ⋮ Robustness of linear time‐varying systems with relaxed excitation ⋮ A robust adaptive flux observer for a class of electromechanical systems ⋮ A globally exponentially stable speed observer for a class of mechanical systems: experimental and simulation comparison with high-gain and sliding mode designs ⋮ Necessary and sufficient regressor conditions for the global asymptotic stability of recursive least squares ⋮ Parameter identification of linear time‐invariant systems using dynamic regressor extension and mixing ⋮ A new least squares parameter estimator for nonlinear regression equations with relaxed excitation conditions and forgetting factor

Cites Work

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• Mathematical Systems Theory I
• On the Uniform Asymptotic Stability of Certain Linear Nonautonomous Differential Equations
• Convergence Properties of Adaptive Systems and the Definition of Exponential Stability
• Performance Enhancement of Parameter Estimators via Dynamic Regressor Extension and Mixing

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