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一簇微生物间歇发酵酶催化非线性动力系统的强稳定性 |
Strong stability of a family enzyme-catalytic nonlinear dynamic system in batch fermentation of glycerol |
投稿时间:2019-06-10 修订日期:2019-08-11 |
DOI: |
中文关键词: 非线性动力系统 线性变分系统 基本矩阵解 强稳定性 |
英文关键词: nonlinear dynamical system linear variational system fundamental matrix solution strong stability |
基金项目:基于DNA链置换的级联计算系统研究,国家自然科学基金面上项目(6172121) |
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中文摘要: |
针对分段线性连续函数各参量的微生物间歇发酵酶催化非线性动力系统中状态变量及其变化速率的充分光滑性、以及辨识参量的分段线性等特征,应用比较原理证明此类非线性动力系统及子动力系统解对应的线性变分系统的基本矩阵解的有界性。提出没有平衡点的非线性动力系统解关于初始点及一列解点上扰动后的强稳定性定义。在适当条件下证明了一簇非线性动力系统的强稳定性。 |
英文摘要: |
In a microbial batch fermentation enzyme-catalyzed nonlinear dynamic system,due to the sufficient smoothness of state variables and rates in a piecewise linear continuous function and the piecewise linearity of identification parameters , we use the comparison principle to prove the boundedness of the fundamental matrix solutions of the linear variational systems . in this paper, the strong stability of solutions of nonlinear dynamic systems without equilibrium points is proposed. In perfect condition, we prove the strong stability of a family nonlinear dynamic system . |
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