Robust Exponential Stability Analysis of Uncertain Discrete Time‐Varying Linear Systems
Robust Exponential Stability Analysis of Uncertain Discrete Time‐Varying Linear Systems
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DOI：
10.1002/asjc.803
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发表时间：
2014-11
影响因子：
2.4
通讯作者：
Yu Yao;Kai Liu;V. Balakrishnan;Wenxue She;Jianhong Zhang
中科院分区：
文献类型：
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作者：
Yu Yao;Kai Liu;V. Balakrishnan;Wenxue She;Jianhong Zhang
本文研究了不确定离散线性时变（UDLTV）系统的鲁棒指数稳定性。关键工具是最近提出的生成函数。可以发现，一类改进生成函数（IGFS）可以充分表征UDLTV系统的鲁棒指数稳定性，并且系统轨迹的最大指数衰减率可以通过IGFS的收敛半径计算出来。此外，凸优化技术和动态规划方法的应用为IGFS的计算提供了有效的算法。最后，数值例子说明了该方法的有效性和优势。
This paper studies the robust exponential stability of uncertain discrete linear time‐varying (UDLTV) systems. The key tool is the recently proposed generating functions. It can be found that a class of improved generating functions (IGFS) can fully characterize the robust exponential stability of UDLTV systems, and the maximum exponential decay rate of system trajectories can be computed by the radius of convergence of the IGFS. Moreover, the application of convex optimization technique and dynamic programming method provides an effective algorithm for the computation of the IGFS. Finally, the numerical example illustrates the efficacy and advantage of the proposed approach.