Periodic Riccati difference equations: approaching equilibria by implicit systems

Carpanese N.

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Periodic Riccati difference equations: approaching equilibria by implicit systems

机译：周期Riccati差分方程：隐式系统逼近平衡

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A parameterization of solutions to the periodic Riccati difference equation (RDE) is given. By using behavioral tools the moving equilibria of the periodic RDE are encompassed among the trajectories of the implicit AR model associated to the symplectic pencil of the corresponding Hamiltonian equations. This allows a parameterization of solutions of periodic RDEs even in the case the dynamic matrix is singular.

机译：给出了周期Riccati差分方程（RDE）解的参数化。通过使用行为工具，周期性RDE的运动平衡被包含在与相应汉密尔顿方程的辛铅笔相关联的隐式AR模型的轨迹之中。即使动态矩阵是奇异的，这也可以对周期性RDE的解进行参数化。

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《IEEE Transactions on Automatic Control》 |2000年第7期|P.1391-1396|共6页
作者
Carpanese N.;
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正文语种 eng
中图分类自动化系统;
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专利

1. Periodic Riccati difference equations: approaching equilibria byimplicit systems [J] . Carpanese N. IEEE Transactions on Automatic Control . 2000,第7期

机译：周期Riccati差分方程：通过隐式系统达到平衡
2. Almost Periodic Solutions of Evolution Equations Associated with C-Semigroups: An Approach Via Implicit Difference Equations [J] . Nguyen Minh Man Vietnam journal of mathematics . 2005,第1期

机译：与C-半群相关的演化方程的概周期解：一种通过隐式差分方程的方法
3. On periodic asymptotic equilibria of systems of nonlinear finite-difference equations [J] . G P Pelyukh Differential Equations . 2010,第4期

机译：非线性有限差分方程组的周期渐近平衡
4. Dynamical approach of Riccati difference equations to non linear filters stability in constrained state estimation systems [C] . Elizabeth. S, Jothilakshmi. R 2012 IEEE International Conference on Advanced Communication, Control and Computing Technologies. . 2012

机译：约束状态估计系统中Riccati差分方程对非线性滤波器稳定性的动力学方法
5. Stability and convergence results for difference approximations of overdetermined differential-algebraic equations with application to implicit integration of constrained mechanical system dynamics. [D] . Lee, Ming-Gong. 1992

机译：超定微分代数方程差分逼近的稳定性和收敛性结果在约束机械系统动力学的隐式积分中的应用。
6. A note on improved F-expansion method combined with Riccati equation applied to nonlinear evolution equations [O] . Md. Shafiqul Islam, Kamruzzaman Khan, M. Ali Akbar, 2014

机译：改进的F展开方法与Riccati方程组合用于非线性发展方程的注释
7. Inertia theorems for the periodic Lyapunov difference equation and periodic Riccati difference equation [O] . Bolzern Paolo, Colaneri Patrizio 1987

机译：周期Lyapunov差分方程和周期Riccati差分方程的惯性定理。
8. Periodic Equilibria for Matrix Riccati Equations. [R] . Bekir, E., Bucy, R. S. 1976

机译：矩阵Riccati方程的周期平衡。

Periodic Riccati difference equations: approaching equilibria by implicit systems

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