The Existence and Stability of Two Periodic Solutions on a Class of Riccati's Equation

Ni Hua

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The Existence and Stability of Two Periodic Solutions on a Class of Riccati's Equation

机译：一类Riccati方程的两个周期解的存在性和稳定性

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The existence of two periodic solutions of the Riccati's equation when the coefficients are omega-periodic and have different signs is obtained. One of these solutions is unstable on.. and the other one is attractive on some region. Finally, an example is presented.

机译：当系数为ω周期且符号不同时，存在Riccati方程的两个周期解。这些解决方案之一在某些情况下是不稳定的，而另一种解决方案在某些地区具有吸引力。最后，给出一个例子。

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来源
《Mathematical Problems in Engineering》 |2018年第15期|2805161.1-2805161.18|共18页
作者
Ni Hua;
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Jiangsu Univ Fac Sci Zhenjiang 212013 Jiangsu Peoples R China;

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1. The Existence and Stability of Two Periodic Solutions on a Class of Riccati’s Equation [J] . Hua Ni Mathematical Problems in Engineering: Theory, Methods and Applications . 2018,第5期

机译：一类Riccati方程的两个周期解的存在性和稳定性
2. On the Existence of the Stabilizing Solution of a Class of Periodic Stochastic Riccati Equations [J] . Aberkane Samir, Dragan Vasile IEEE Transactions on Automatic Control . 2020,第3期

机译：关于一类周期性随机Riccati方程的稳定解决方案
3. Existence and Exponential Stability of Weighted Pseudo Almost Periodic Classical Solutions of Integro-Differential Equations with Analytic Semigroups [J] . Junfei Cao, Zaitang Huang Differential equations and dynamical systems . 2015,第3期

机译：具有解析半群的积分微分方程加权伪概周期经典解的存在性和指数稳定性
4. Existence of positive definite solution to periodic Riccati differential equation [C] . Yangzhou Chen, Shanben Chen Intelligent Control and Automation, 2000. Proceedings of the 3rd World Congress on . 2000

机译：周期Riccati微分方程正定解的存在性。
5. Contributions to the solution of discrete-time invariant and periodic algebraic Riccati equations on multiprocessors. [D] . Mayo Gual, Rafael. 2001

机译：对多处理器上的离散时间不变和周期代数Riccati方程求解的贡献。
6. Existence and global exponential stability of periodic solutions for n-dimensional neutral dynamic equations on time scales [O] . Bing Li, Yongkun Li, Xuemei Zhang -1

机译：时标上n维中立型动力方程周期解的存在性和全局指数稳定性
7. The Existence and Stability of Two Periodic Solutions on a Class of Riccati’s Equation [O] . Hua Ni 2018

机译：一类Riccati等式的两个定期解决方案的存在稳定性

The Existence and Stability of Two Periodic Solutions on a Class of Riccati's Equation

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