Higher-Order Derivatives of Lyapunov Functions And Ultimate Boundedness in the Sense of Poisson of Solutions to Systems of Differential Equations

Lapin K. S.

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Higher-Order Derivatives of Lyapunov Functions And Ultimate Boundedness in the Sense of Poisson of Solutions to Systems of Differential Equations

机译：Lyapunov函数的高阶衍生物和差分方程式解的泊松泊松感的终极界限

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摘要

Using the higher-order derivatives of Lyapunov functions, we obtain sufficient tests of various types for the uniform-ultimate boundedness in the sense of Poisson of solutions and various types of equiultimate boundedness of solutions in the sense of Poisson.

机译：利用Lyapunov函数的高阶导数，我们在泊松感的泊松泊松泊松感和各种类型的常见型界限中获得了足够的各种类型的测试。

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来源
《Siberian Mathematical Journal》 |2018年第6期|共5页
作者
Lapin K. S.;
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作者单位

Mordovian State Pedag Inst Saransk Russia;

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原文格式 PDF
正文语种 eng
中图分类数学;
关键词
Lyapunov function; uniform-ultimate boundedness; equiultimate boundedness; higherorder derivatives; partially controlled initial conditions;

机译：Lyapunov函数;统一 - 终极的界限;厘倍的界限;高效衍生物;部分控制的初始条件;

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专利

1. Higher-Order Derivatives of Lyapunov Functions And Ultimate Boundedness in the Sense of Poisson of Solutions to Systems of Differential Equations [J] . Lapin K. S. Siberian Mathematical Journal . 2018,第6期

机译：Lyapunov函数的高阶衍生物和差分方程式解的泊松泊松感的终极界限
2. Vector Lyapunov Functions and Ultimate Poisson Boundedness of Solutions of Systems of Differential Equations [J] . K. S. Lapin Mathematical notes . 2018,第1a2期

机译：向量Lyapunov函数和微分方程组解的最终泊松有界
3. Uniform Boundedness in the Sense of Poisson of Solutions of Systems of Differential Equations and Lyapunov Vector Functions [J] . Lapin K. S. Differential equations: A translation of differensial'nye uraveniya . 2018,第1期

机译：微分方程系统和Lyapunov矢量功能的泊松po泊型均匀的界限
4. Ultimate boundedness control for uncertain discrete-time systems via set-induced Lyapunov functions [C] . Blanchini, F. . 1991

机译：通过集诱导的Lyapunov函数控制不确定离散时间系统的最终有界控制
5. ON THE BOUNDEDNESS OF SOLUTIONS AND THE ATTRACTIVITY PROPERTIES FOR NONLINEAR SECOND-ORDER DIFFERENTIAL EQUATIONS [D] . 坂田, 定久 1982

机译：非线性二阶微分方程解的有界性和吸引性
6. On the boundedness and integration of non-oscillatory solutions of certain linear differential equations of second order [O] . Cemil Tunç, Osman Tunç 2016

机译：一类二阶线性微分方程非振动解的有界性和积分
7. Uniform-ultimate Poisson boundedness of solutions of P-perturbed systems of differential equations [O] . Kirill S. Lapin, Cemil Tunç 2020

机译：统一方程式P扰动系统解的均匀 - 终极泊松界
8. On a Criterion of Instability in the Sense of Lyapunov of Solutions of a Linear System of Ordinary Differential Equations [R] . Vinograd, R. E. 1964

机译：关于常微分方程线性系统解的Lyapunov定理的不稳定判据

Higher-Order Derivatives of Lyapunov Functions And Ultimate Boundedness in the Sense of Poisson of Solutions to Systems of Differential Equations

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