Stability of 2-D discrete systems described by theFornasini-Marchesini second model

Hinamoto T.

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Stability of 2-D discrete systems described by theFornasini-Marchesini second model

机译：Fornasini-Marchesini第二模型描述的二维离散系统的稳定性

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Based on the Fornasini-Marchesini second local state-space (LSS) model, criteria that sufficiently guarantee the asymptotic stability of 2-D discrete systems are given. A sufficient condition for a 2-D nonlinear discrete system to be free of overflow oscillations is then shown in the case when a 2-D discrete system is employed by saturation arithmetic. Finally, an upper bound on parameter variations which guarantees the asymptotic stability of a perturbed 2-D discrete system is considered. It is shown that the upper bound stated here is less conservative than the existing ones

机译：基于Fornasini-Marchesini第二局部状态空间（LSS）模型，给出了足以保证二维离散系统渐近稳定性的准则。然后在饱和算术采用二维离散系统的情况下，给出了二维非线性离散系统没有溢出振荡的充分条件。最后，考虑了参数变化的上限，该上限保证了扰动的二维离散系统的渐近稳定性。结果表明，此处规定的上限不如现有的上限保守

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《IEEE Transactions on Circuits and Systems. I, Regular Papers》 |1997年第3期|p.254-257|共4页
作者
Hinamoto T.;
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正文语种 eng
中图分类 TN71;
关键词
Lyapunov matrix equations; asymptotic stability; discrete systems; multidimensional systems; nonlinear systems; stability criteria; state-space methods; 2D discrete systems; Fornasini-Marchesini second model; asymptotic stability; nonlinear discrete system; overflo;

机译：Lyapunov矩阵方程;渐近稳定性;离散系统;多维系统;非线性系统;稳定性判据;状态空间方法;二维离散系统;Fornasini-Marchesini第二模型;渐近稳定性;非线性离散系统;过流;

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1. New stability results for 2-D discrete systems based on theFornasini-Marchesini state space model [J] . Kanellakis A. IEE proceedings. Part G, Circuits, devices and systems . 1994,第5期

机译：基于Fornasini-Marchesini状态空间模型的二维离散系统的新稳定性结果
2. Stability analysis of 2-D digital filters described by theFornasini-Marchesini second model using overflow nonlinearities [J] . Kar H., Singh V. IEEE Transactions on Circuits and Systems. I, Regular Papers . 2001,第5期

机译：Fornasini-Marchesini第二模型使用溢出非线性描述的二维数字滤波器的稳定性分析
3. A note on stability analysis of 2-D linear discrete systems based on the Fornasini-Marchesini second model: Stability with asymmetric Lyapunov matrix [J] . Agarwal Neha, Kar Haranath Digital Signal Processing . 2015,第Null期

机译：基于Fornasini-Marchesini第二模型的二维线性离散系统稳定性分析的注记：不对称Lyapunov矩阵的稳定性
4. A survey on stability of 2-D discrete systems described by Fornasini-Marchesini first model [C] . 2010 International Conference on Power, Control and Embedded Systems . 2010

机译：Fornasini-Marchesini第一模型描述的二维离散系统的稳定性调查
5. 2-D POLYNOMIAL AND RATIONAL MATRICES, AND THEIR APPLICATIONS FOR THE MODELING OF 2-D DYNAMICAL SYSTEMS. [D] . LEVY, BERNARD CHRISTOPHE. 1981

机译：二维多项式和有理矩阵，及其在二维动力学系统建模中的应用。
6. The effect of network topology on the stability of discrete state models of genetic control [O] . Andrew Pomerance, Edward Ott, Michelle Girvan, 2009

机译：网络拓扑对遗传控制离散状态模型稳定性的影响
7. A Survey on the Stability of 2-D Discrete Systems Described by Fornasini-Marchesini Second Model [O] . Manish Tiwari, Amit Dhawan 2012

机译：Fornasini-Marchesini第二模型描述的二维离散系统的稳定性

Stability of 2-D discrete systems described by theFornasini-Marchesini second model

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