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Further Results on Stabilizability of Discrete-time Nonlinearly Parameterized Systems With Scalar Parameters

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This note advances the work “Simultaneous identification and stabilization of nonlinearly parameterized discrete-time systems by nonlinear least squares algorithm” by Li and Chen by allowing the sensitivity functions of discrete-time… Click to show full abstract

This note advances the work “Simultaneous identification and stabilization of nonlinearly parameterized discrete-time systems by nonlinear least squares algorithm” by Li and Chen by allowing the sensitivity functions of discrete-time nonlinearly parameterized systems with scalar parameters admitting arbitrarily many zeros for large outputs. Stabilizability theorems” and “impossible theorems” have been provided both for time-invariant-parameter and time-varying-parameter cases. A practical estimation algorithm is also proposed to facilitate the implementation in computations.

Keywords: time nonlinearly; discrete time; systems scalar; nonlinearly parameterized; time; parameterized systems

Journal Title: IEEE Transactions on Automatic Control
Year Published: 2018

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