ON THE STABILITY OF TWO NEW RECURSIVE 2D-ROESSER-BASED DISCRETE MODELS WITH SPATIAL AND TIME DELAYS

Manuel Dela Sen; Asier Ibeas

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ON THE STABILITY OF TWO NEW RECURSIVE 2D-ROESSER-BASED DISCRETE MODELS WITH SPATIAL AND TIME DELAYS

机译：时滞的两种新型递归二维鲁塞离散模型的稳定性研究

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This paper presents and discusses from the stability point of view two discreteRoesser-based models whose state evolution has a recursive nature which can becombined in the spatial horizontal and vertical substates and time evolution. A first setof stability results is derived in the absence of controls based on the stability/convergenceproperties of the matrices defining the dynamics. Later on, two linear control laws aregiven and the stability properties are reformulated under control feedback. Also, somecontrollability conditions of certain relevant pairs defining the closed-loop dynamics whatallows to prescribe the spectral radii to convenient values to guarantee the stability bymeans of the synthesis of the controller gains.

机译：本文从稳定性的角度提出并讨论了两种基于离散Roesser的模型，它们的状态演化具有递归性质，可以在空间水平和垂直子状态以及时间演化中结合使用。基于定义动力学的矩阵的稳定性/收敛性，在没有控件的情况下得出第一组稳定性结果。随后，给出了两个线性控制定律，并在控制反馈下重新确定了稳定性。同样，定义闭环动力学的某些相关对的某些可控性条件允许将光谱半径规定为方便的值，以通过控制器增益合成的手段来保证稳定性。

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《International Journal of Innovative Computing Information and Control》 |2018年第5期|1681-1707|共27页
作者
Manuel Dela Sen; Asier Ibeas;
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ON THE STABILITY OF TWO NEW RECURSIVE 2D-ROESSER-BASED DISCRETE MODELS WITH SPATIAL AND TIME DELAYS

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