| 1. | The algebraic criteria for the stability of gray discrete large - scale systems
灰色离散大系统稳定性的代数判据 |
| 2. | Some algebraic criteria of the stability of large linear ordinary differential system with variable coefficients
变系数线性常微大系统稳定性的一些代数判据 |
| 3. | Based on the theory of structured singular value , this thesis provides necessary and sufficient algebraic criteria for the delay - independent stability of a class of multiple - delay systems of neutral type
借助结构奇异值理论，获得了一类多时滞中立型系统的时滞无关稳定充要代数准则。 |
| 4. | While analyzing controllability and observability of system over the field f ( z ) of the rational functions in multi - parameters , we must use the algebraic criteria . so we have to get its state equations in the first place
在分析f ( z )上系统的能控能观性时，要应用其代数判据，这就要首先求出其f ( z )上状态方程系。 |
| 5. | For the delay - independent stability , necessary and sufficient algebraic criteria have been obtained in terms of characteristic functions . the key of the criteria is to verify that a polynomial has no nonzero real roots
对时滞无关稳定性，以特征函数为工具，获得了充要代数准则，其核心是判定多项式方程无实根，这一问题由广义sturm理论解决。 |
| 6. | With the spectral theory of matrices , three sufficient algebraic criteria have been developed for the above multiple - delay linear difference systems . the key of the criteria is to verify that the sum of the spectrum or norm of system matrices is less than 1
借助矩阵的谱理论，获得了上述多时滞线性差分系统的充分代数准则，其核心是判定系统矩阵的谱或范数之和小于1 。 |
| 7. | With the characteristic function method , necessary and sufficient algebraic criteria have been developed for a class of three - delay linear difference systems . the key of the criteria is to verify that the value of a trigonometric polynomial is less than one
借助特征函数法，获得了一类三时滞线性差分系统的充要代数准则，其核心是判定某三角多项式的值小于1 ，这一问题由绘图法解决。 |
| 8. | By analyzing the eigenvalues of linear variation equations , some algebraic criteria for the absolute stability ( independent of the delays ) are established for two special 3 - dimensional systems . also , the sufficient conditions under which the systems hold a hopf bifurcation are obtained , which are easy to verify
我们通过分析特征方程的特征根，获得了平衡点绝对稳定的代数判据，同时得到系统存在hopf分支的充分性条件，这些判据在实际中易于验证。 |
| 9. | The study on the stability switches of functional differential difference equations is an important research branch of the stability theories , which of both the theory and its applications has broad prospects . the first part of this paper , chapter 2 and 3 , deals with the stability switches for two classes of retarded differential difference systems , respectively . by analyzing the characteristic roots of characteristic equations , some algebraic criteria of stability switches are established , which are useful and easy to verify
稳定性开关是泛函微分方程稳定性理论中的一个重要分支，无论是理论本身还是它的应用都有广泛的前景，本文的第一部分(第2章、第3章)分别讨论两类二阶滞后型微分差分系统的稳定性开关，通过分析特征方程的特征根，我们给出了存在稳定性开关现象的实用而又易于验证的代数判据，并利用计算机模拟验算了一个具体例子。 |
