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Communication Dans Un Congrès Année : 2021

A Hybrid System Approach to Exponential Stability with Sampled-data Control for a Class of Linear Hyperbolic Systems ⋆

Résumé

In this paper, we address the problem of exponential stability for a class of linear hyperbolic systems with distributed sampled-data control. First, we recast the original system into a hybrid model via an augmented system approach. Using this model, the link between the sampling interval, the system state and its sampled vector is characterized by an Integral Quadratic Constraint (IQC). The obtained IQC is used for deriving numerically tractable stability criteria. The method is illustrated by an open loop unstable numerical example.
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Dates et versions

hal-03178668 , version 1 (23-03-2021)
hal-03178668 , version 2 (11-01-2022)

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  • HAL Id : hal-03178668 , version 1

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Xinyong Wang, Ying Tang, Christophe Fiter, Laurentiu Hetel. A Hybrid System Approach to Exponential Stability with Sampled-data Control for a Class of Linear Hyperbolic Systems ⋆. 7th IFAC Conference on Analysis and Design of Hybrid Systems, Jul 2021, Brussels, Belgium. ⟨hal-03178668v1⟩
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