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首页> 外文期刊>Bulletin of the Polish Academy of Sciences. Technical Sciences >Stability analysis for discrete-time fractional-order LTI state-space systems. Part II: New stability criterion for FD-based systems
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Stability analysis for discrete-time fractional-order LTI state-space systems. Part II: New stability criterion for FD-based systems

机译:离散时间分数阶LTI状态空间系统的稳定性分析。第二部分:基于FD的系统的新稳定性标准

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This paper presents a series of new results on the asymptotic stability of discrete-time fractional difference (FD) state space systems and their finite-memory approximations called finite FD (FFD) and normalized FFD (NFFD) systems. In Part I of the paper, new necessary and sufficient stability conditions have been given in a unified form for FD, FFD and NFFD-based systems. Part II offers a new, simple, ultimate stability criterion for FD-based systems. This gives rise to the introduction of new definitions of the so-called f-poles and f-zeros for FD-based systems, which are used in the closed-loop stability analysis for FD-based systems and, approximately, for FFD/NFFD-based ones
机译:本文提出了一系列有关离散时间分数差(FD)状态空间系统的渐近稳定性以及它们的有限记忆近似(称为有限FD(FFD)和归一化FFD(NFFD)系统)的新结果。在本文的第一部分中,以统一的形式针对基于FD,FFD和NFFD的系统给出了新的必要和充分的稳定性条件。第二部分为基于FD的系统提供了一个新的,简单的,最终的稳定性标准。这就为基于FD的系统引入了所谓的f极和f零的新定义,这些定义被用于基于FD的系统以及大约FFD / NFFD的闭环稳定性分析中。基于的

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