On global asymptotic stability of \(\dot{x}=-\phi(t)\phi^\top(t)x\) with \(\phi\) not persistently exciting
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Publication:1690968
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
Linear systems in control theory (93C05) Asymptotic stability in control theory (93D20) Control/observation systems governed by ordinary differential equations (93C15)
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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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