Improved delay-partitioning approach to robust stability analysis for discrete-time systems with time-varying delays and randomly occurring parameter uncertainties

Kwon O. M.; Park M. J.; Park Ju H.; Lee S. M.; Cha E. J.

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Improved delay-partitioning approach to robust stability analysis for discrete-time systems with time-varying delays and randomly occurring parameter uncertainties

机译：具有时变时滞和随机性参数不确定性的离散时间系统的鲁棒稳定性分析的改进的延迟分配方法

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This paper is concerned with the robust stability problem for uncertain discrete-time systems with interval time-varying delays and randomly occurring parameter uncertainties. By construction of a suitable Lyapunov-Krasovskii functional and utilization of new zero equalities with delay-partitioning approach, improved delay-dependent criteria for the robust stability of the systems are derived in terms of linear matrix inequalities for guaranteeing the asymptotic stability of the concerned systems. The effectiveness and reduction of conservatism of the derived results are demonstrated by three numerical examples. Copyright (c) 2014 John Wiley & Sons, Ltd.

机译：本文关注的是不确定不确定离散系统的鲁棒稳定性问题，该不确定系统具有间隔时变时滞和随机出现的参数不确定性。通过构造合适的Lyapunov-Krasovskii泛函并利用延迟分配方法利用新的零等式，从线性矩阵不等式方面推导了改进的依赖于延迟的系统鲁棒稳定性准则，以保证相关系统的渐近稳定性。。通过三个数值例子证明了所得结果的保守性和有效性。版权所有（c）2014 John Wiley＆Sons，Ltd.

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《Optimal Control Applications and Methods》 |2015年第4期|共16页
作者
Kwon O. M.; Park M. J.; Park Ju H.; Lee S. M.; Cha E. J.;
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正文语种 eng
中图分类应用数学;
关键词
discrete-time systems; interval time-varying delay; robust stability; randomly occurring uncertainties; Lyapunov method;

机译：离散时间系统;时变时滞;鲁棒稳定性;不确定性随机发生;Lyapunov方法;

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1. Improved delay-partitioning approach to robust stability analysis for discrete-time systems with time-varying delays and randomly occurring parameter uncertainties [J] . Kwon O. M., Park M. J., Park Ju H., Optimal Control Applications and Methods . 2015,第4期

机译：具有时变时滞和随机性参数不确定性的离散时间系统的鲁棒稳定性分析的改进的延迟分配方法
2. Robust stability analysis of uncertain T-S fuzzy systems with time-varying delay by improved delay-partitioning approach [J] . J. Yang, K. B. Shi, W. P. Luo, The Journal of Nonlinear Sciences and its Applications . 2016,第1期

机译：时滞不确定不确定TS模糊系统的鲁棒稳定性分析
3. A Delay-partitioning Approach to the Stability Analysis of 2-D Linear Discrete-time Systems with Interval Time-varying Delays [J] . Peng Dan, Zhang Jing, Hua Changchun, International Journal of Control, Automation, and Systems . 2018,第2期

机译：间隔时变延迟的2-D线性离散时间系统稳定性分析的延迟分配方法
4. A Delay-Partitioning Approach to Stability Analysis of Discrete-Time Recurrent Neural Networks with Randomly Occurred Nonlinearities [C] . Jianmin Duan, Manfeng Hu, Yongqing Yang International symposium on neural networks . 2013

机译：具有随机非线性的离散时间递归神经网络稳定性分析的延迟划分方法
5. Stabilization and robust stability of discrete-time, time-varying systems. [D] . Dale, Wilbur Nolan. 1991

机译：离散时间随时间变化的系统的稳定性和鲁棒性。
6. Synchronization criteria of discrete-time complex networks with time-varying delays and parameter uncertainties [O] . P. Balasubramaniam, L. Jarina Banu 2014

机译：具有时变时滞和参数不确定性的离散时间复杂网络的同步准则
7. Delay-Partitioning Approach to Stability of Linear Discrete-Time Systems with Interval-Like Time-Varying Delay [O] . Priyanka Kokil, V. Krishna Rao Kandanvli, Haranath Kar 2013

机译：不同间隔时变延迟的延迟分区方法达到线性离散时间系统的稳定性

Improved delay-partitioning approach to robust stability analysis for discrete-time systems with time-varying delays and randomly occurring parameter uncertainties

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