Finite-time stability and finite-time boundedness of fractional order linear systems

被引：56
|
作者：
Ma, Ya-jing [1 ]
Wu, Bao-wei [1 ]
Wang, Yue-E [1 ]
机构：
[1] Shaanxi Normal Univ, Coll Math & Informat Sci, Xian 710119, Peoples R China
来源：
NEUROCOMPUTING | 2016年 / 173卷
基金：
中国国家自然科学基金;
关键词：
Fractional order systems; Linear time invariant systems; Finite-time stability; Finite-time boundedness; LYAPUNOV FUNCTIONS; NEUTRAL SYSTEMS; NEURAL-NETWORKS; STABILIZATION; DESIGN;
D O I：
10.1016/j.neucom.2015.09.080
中图分类号：
TP18 [人工智能理论];
学科分类号：
081104 ; 0812 ; 0835 ; 1405 ;
摘要：
In this paper, the finite-time stability (FTS) and the finite-time boundedness (FTB) for the fractional order linear time invariant (LTI) systems with 0 < alpha < 1 are studied. First, some conditions to guarantee the FTS and the FTB for a class of fractional order LTI systems are derived by combining a new property for Caputo fractional derivatives, the generalized Gronwall inequality and the Laplace transform. Moreover, based on these conditions, the method for the design of state feedback controllers is presented. Finally, illustrative examples are provided to show the effectiveness of the results. (C) 2015 Elsevier B.V. All rights reserved.
引用
收藏
页码：2076 / 2082
页数：7
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