Stability analysis of digital feedback control systems with time-varying sampling periods.

*(English)*Zbl 0941.93034The authors study qualitative properties of a class of digital control systems with time-varying sampling periods consisting of a continuous-time nonlinear plant described by systems of first order differential equations, a nonlinear digital controller described by systems of first order difference equations, and appropriate interface elements between the plant and controller (A/D and D/A converters). Using a linearization approach, they establish several sets of conditions for Lyapunov stability and instability of the trivial solution and apply these results to the analysis of certain classes of switched systems and they study a stabilization problem for nonlinear cascaded control systems via hybrid feedback controllers.

Reviewer: Svitlana P.Rogovchenko (Mersin)

##### MSC:

93C57 | Sampled-data control/observation systems |

93B18 | Linearizations |

93D05 | Lyapunov and other classical stabilities (Lagrange, Poisson, \(L^p, l^p\), etc.) in control theory |

93D15 | Stabilization of systems by feedback |

##### Keywords:

sampled-data system; Lyapunov stability; time-varying sampling; linearization; switched systems; stabilization; hybrid feedback
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\textit{B. Hu} and \textit{A. N. Michel}, Automatica 36, No. 6, 897--905 (2000; Zbl 0941.93034)

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##### References:

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