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Averaging analysis for discrete time and sampled data adaptive systems
Journal article

Averaging analysis for discrete time and sampled data adaptive systems

E.-W Bai, L.-C Fu and S.S Sastry
IEEE transactions on circuits and systems, Vol.35(2), pp.137-148
02/1988
DOI: 10.1109/31.1715

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Abstract

Earlier continuous-time averaging theorems are extended to the nonlinear discrete-time case. These theorems are applied to the study of the convergence analysis of discrete-time adaptive identification and control systems. Instability theorems are also derived for the study of robust stability and instability of adaptive control schemes applied to sampled data systems. As a byproduct, the effects of sampling are also studied on unmodeled dynamics in continuous-time systems.< >
Control Systems Programmable control Adaptive systems Robust stability Discrete time systems Continuous time systems Sampling methods Adaptive control Least squares methods Convergence

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