Stochastic Stability of Some Classes of Nonlinear 2D Systems

被引：0
作者：
P. V. Pakshin
J. P. Emelianova
M. A. Emelianov
K. Gałkowski
E. Rogers
机构：
[1] Arzamas Polytechnic Institute of R.E. Alekseev Nizhny Novgorod State Technical University,Institute of Control and Computation Engineering
[2] Lobachevsky State University,Department of Electronics and Computer Science
[3] University of Zielona Góra,undefined
[4] University of Southampton,undefined
来源：
Automation and Remote Control | 2018年 / 79卷
关键词：
2D systems; discrete repetitive processes; differential repetitive processes; stochastic stability; vector Lyapunov function; passivity; stabilization;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
The paper considers nonlinear discrete and differential stochastic repetitive processes using the state-space model setting. These processes are a special case of 2D systems that originate from the modeling of physical processes. Using the vector Lyapunov function method, sufficient conditions for stability in the mean square are obtained in the stochastic setting, where the vast majority of the currently known results are for deterministic dynamics. Based on these results, the property of stochastic exponential passivity in the second moment is used, together with the vector storage function, to develop a new method for output feedback control law design. An example of a system with nonlinear actuator dynamics and state-dependent noise is given to demonstrate the effectiveness of the new results.
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页码：89 / 102
页数：13
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