On Stability of Differential Systems with Noninstantaneous Impulses

Sood Anju; Srivastava Sanjay K.

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On Stability of Differential Systems with Noninstantaneous Impulses

机译：非瞬时脉冲微分系统的稳定性

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A new class of impulsive differential equations with noninstantaneous fixed time impulses is considered. Uniform stability and uniform asymptotic stability of solutions of the system have been established by employing piecewise Lyapunov functions. An example is also given to illustrate the theoretical results.

机译：考虑一类具有非瞬时固定时间脉冲的新型脉冲微分方程。利用分段李雅普诺夫函数建立了系统解的一致稳定性和一致渐近稳定性。并举例说明了理论结果。

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《Mathematical Problems in Engineering》 |2015年第6期|691687.1-691687.5|共5页
作者
Sood Anju; Srivastava Sanjay K.;
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作者单位

Punjab Tech Univ, Appl Sci Dept, Kapurthala 144601, Punjab, India.;

Beant Coll Engn & Technol, Fac Math, Dept Appl Sci, Gurdaspur 143521, Punjab, India.;

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1. On Stability of Differential Systems with Noninstantaneous Impulses [J] . AnjuSood, Sanjay K.Srivastava Mathematical Problems in Engineering: Theory, Methods and Applications . 2015,第3期

机译：非瞬时脉冲微分系统的稳定性
2. Existence, Uniqueness and UHR Stability of Solutions to Nonlinear Ordinary Differential Equations with Noninstantaneous Impulses [J] . XupingZhang, ZhenXin International journal of nonlinear sciences and numerical simulation . 2020,第2期

机译：与非晶脉冲的非线性常微分方程溶液的存在，唯一性和UHR稳定性
3. On the Novel Finite-Time Stability Results for Uncertain Fractional Delay Differential Equations Involving Noninstantaneous Impulses [J] . Li Qien, Luo Danfeng, Luo Zhiguo, Mathematical Problems in Engineering . 2019,第PTa20期

机译：关于涉及非永恒脉冲的不确定分数延迟微分方程的新型有限时间稳定性
4. Global exponential stability of stochastic functional differential systems with delayed impulses [C] . Yao Fengqi, Deng Feiqi, Xisheng Dai, Chinese Control Conference . 2013

机译：具有延迟脉冲的随机泛函微分系统的全局指数稳定性
5. Asymptotic Stability of Systems of Coupled Nonlinear Partial Differential Equations arising From Acoustic-Structural and Fluid-Structural Interaction. [D] . Lu, Yongjin. 2012

机译：由声-结构和流体-结构相互作用产生的耦合非线性偏微分方程系统的渐近稳定性。
6. Razumikhin-Type Stability Criteria for Differential Equations with Delayed Impulses [O] . Qing Wang, Quanxin Zhu -1

机译：Razumikhin型稳定标准用于延迟冲动的微分方程
7. On Stability of Differential Systems with Noninstantaneous Impulses [O] . Anju Sood, Sanjay K. Srivastava 2015

机译：关于差分脉冲差分系统的稳定性
8. TWO COUNTABLE SYSTEMS OF DIFFERENTIAL INEQUALITIES WITH APPLICATIONS TO THE STABILITY OF LINEAR QUADRATIC DIFFERENTIAL GAMES. [R] . lukes, d. l. strauss,aaron 1970

机译：两种可计算的微分不等式系统及其在线性二次微分算法稳定性中的应用。

On Stability of Differential Systems with Noninstantaneous Impulses

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