PlanetMath (more info)
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93Dxx - Stability

93D05 - Lyapunov and other classical stabilities (Lagrange, Poisson, $L^p, l^p$, etc.)
93D09 - Robust stability
93D10 - Popov-type stability of feedback systems
93D15 - Stabilization of systems by feedback
93D20 - Asymptotic stability
93D21 - Adaptive or robust stabilization
93D25 - Input-output approaches
93D30 - Scalar and vector Lyapunov functions
93D99 - Miscellaneous
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