A Hybrid System Approach to Exponential Stability with Sampled-data Control for a Class of Linear Hyperbolic Systems <ce:cross-ref refid='fn1'> <ce:sup loc='post'>?</ce:sup> </ce:cross-ref>

Xinyong Wang; Ying Tang; Christophe Fiter; Laurentiu Hetel

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

机译：对指数稳定性的混合系统方法对一类线性双曲系统的采样数据控制？

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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.

机译：在本文中，我们解决了具有分布式采样数据控制的一类线性双曲系统的指数稳定性问题。首先，我们通过增强系统方法重新将原始系统重新定位为混合模型。使用该模型，采样间隔，系统状态和采样向量之间的链路特征在于积分二次约束（IQC）。所获得的IQC用于导出数值易易稳定标准。该方法由开环不稳定的数字示例说明。

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《IFAC PapersOnLine》 |2021年第5期|共6页
作者
Xinyong Wang; Ying Tang; Christophe Fiter; Laurentiu Hetel;
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关键词
Linear hyperbolic systemssampled-data controlhybrid approachexponential stabilityLyapunov function;

机译：线性双曲系统采样 - Data ControlLybrid接近稳定性稳定性浮动功能;

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5. A hybrid approach to the analysis and design of control systems for nonlinear processes. [D] . Nikolaou, Michael. 1989

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8. Linear Systems Approach to Describing and Classifying Fano Resonances (Postprint). [R] . Avrutsky, I., Gibson, R., Sears, J., 2013

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

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