The multidimensional asymptotic stability domain of linear discrete systems: its symmetry and other properties

Yu. P. Nikolaev

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The multidimensional asymptotic stability domain of linear discrete systems: its symmetry and other properties

机译：线性离散系统的多维渐近稳定域：它的对称性及其他性质

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摘要

The properties of the closed asymptotic stability domain of a linear discrete system in the space of coefficients of its characteristic polynomial are investigated. An example is given.

机译：研究了线性离散系统的封闭渐近稳定域在其特征多项式系数空间内的性质。举一个例子。

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《Automation and Remote Control》 |2001年第11期|共11页
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Yu. P. Nikolaev;
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正文语种 eng
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1. The multidimensional asymptotic stability domain of linear discrete systems: its symmetry and other properties [J] . Yu. P. Nikolaev Automation and Remote Control . 2001,第11期

机译：线性离散系统的多维渐近稳定域：它的对称性及其他性质
2. Structural stability, asymptotic stability and exponential stability for linear multidimensional systems: the good, the bad and the ugly [J] . Bachelier Olivier, Cluzeau Thomas, David Ronan, International Journal of Control . 2018,第10a12期

机译：线性多维系统的结构稳定性，渐近稳定性和指数稳定性：良好，坏和丑
3. Structural Stability and Asymptotic Stability for Linear Multidimensional Systems: a Counterexample * * This work was supported by the ANR MSDOS grant ANR-13-BS03-0005. [J] . R. David, O. Bachelier, T. Cluzeau, IFAC PapersOnLine . 2017,第1期

机译：线性多维系统的结构稳定性和渐近稳定性：一个反例 * < ce：footnote id =“ fn1”> * ANR MSDOS授予ANR-13支持这项工作-BS03-0005。
4. Structural Stability and Asymptotic Stability for Linear Multidimensional Systems: a Counterexample [C] . R. David, O. Bachelier, T. Cluzeau, IFAC World Congress . 2018

机译：线性多维系统的结构稳定性和渐近稳定性：一个反例
5. Input-to-state stability properties for discrete-time nonlinear systems. [D] . Gao, Kehan. 1999

机译：离散时间非线性系统的输入状态稳定性。
6. An LMI Based Criterion for Global Asymptotic Stability of Discrete-Time State-Delayed Systems with Saturation Nonlinearities [O] . Priyanka Kokil 2014

机译：具有饱和非线性的离散状态时滞系统的全局渐近稳定性的基于LMI的准则
7. An extension of the characterization of the domain of attraction of an asymptotically stable fixed point in the case of a nonlinear discrete dynamical system [O] . Kaslik, E., Balint, A. M., Grigis, A., 2004

机译：一个特征的吸引域的延伸在非线性离散的情况下渐近稳定的不动点动力系统
8. Asymptotic Stability Criteria for Linear Systems of Difference-Differential Equations of Neutral Type and Their Discrete Analogues [R] . Slemrod, M., Infante, E. F. 1970

机译：中立型及其离散模拟差分微分方程线性系统的渐近稳定性判据

The multidimensional asymptotic stability domain of linear discrete systems: its symmetry and other properties

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