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Towards a New Stability Criterion for Fractional-Order Perfect Control of LTI MIMO Discrete-Time Systems in State-Space

机译：寻求状态空间中LTI MIMO离散系统的分数阶完美控制的新稳定性判据

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摘要

The paper presents a study on defining the perfect control stability areas for LTI MIMO discrete-time fractional-order systems in state-space. The formula for calculating the stability areas corresponds to that dedicated to integer-order systems. Simulation examples involving the nonunique right σ-inverse with parameter degrees of freedom confirm the correctness of proposed method.

机译：本文介绍了在状态空间中定义LTI MIMO离散时间分数阶系统的完美控制稳定性区域的研究。用于计算稳定区域的公式对应于专用于整数排序系统。仿真示例涉及非唯一右σ-逆与参数自由度的逆逆转，确认了所提出的方法的正确性。

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《IEEE International Conference on Cybernetics》|2017年|1-6|共6页
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Wojciech Hunek; Lukasz Wach;
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关键词
Stability criteria; Control systems; MIMO; Linear systems; Inverse problems; Tools;

机译：稳定性判据;控制系统; MIMO;线性系统;反问题;工具;

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专利

1. Contribution of New Parameter Inverses to Robustification of Fractional-Order Perfect Control for LTI MIMO Discrete-Time State-Space Systems [J] . ?ukasz Wach, Wojciech P. Hunek Journal of Automation, Mobile Robotics & Intelligent Systems . 2016,第3期

机译：LTI MIMO离散状态空间系统中新参数逆对分数阶完美控制鲁棒性的贡献
2. Stability analysis for discrete-time fractional-order LTI state-space systems. Part II: New stability criterion for FD-based systems [J] . R. STANISLAWSKI, K.J. LATAWIEC Bulletin of the Polish Academy of Sciences. Technical Sciences . 2013,第2期

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
3. Stability analysis for discrete-time fractional-order LTI state-space systems. Part II: New stability criterion for FD-based systems [J] . K.J. Latawiec, R. Stanis?awski Bulletin of the Polish Academy of Sciences. Technical Sciences . 2013,第2期

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
4. Towards a New Stability Criterion for Fractional-Order Perfect Control of LTI MIMO Discrete-Time Systems in State-Space [C] . Wojciech P. Hunek, Lukasz Wach International Conference on Cybernetics . 2017

机译：朝着国家空间中LTI MIMO离散系统的分数顺序完全控制的新稳定性标准
5. Linear and nonlinear discrete-time state-space modeling of dynamic systems for control applications. [D] . Rodrigues, Eduardo Alves. 1993

机译：控制应用动态系统的线性和非线性离散时间状态空间建模。
6. Controlling and synchronizing a fractional-order chaotic system using stability theory of a time-varying fractional-order system [O] . Yu Huang, Dongfeng Wang, Jinying Zhang, -1

机译：利用时变分数阶系统的稳定性理论控制和同步分数阶混沌系统
7. Data-Driven Model-Free Adaptive Predictive Control for a Class of MIMO Nonlinear Discrete-Time Systems With Stability Analysis [O] . Yuan Guo, Zhongsheng Hou, Shida Liu, 2019

机译：具有稳定性分析的一类MIMO非线性离散系统的数据驱动的无模型自适应预测控制

Towards a New Stability Criterion for Fractional-Order Perfect Control of LTI MIMO Discrete-Time Systems in State-Space

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