哈尔滨工业大学学报（英文版）2006，Vol.13Issue(1)：32-36,5.
External stability of fractional-order control systems
External stability of fractional-order control systems
摘要
Abstract
The external stability of fractional-order continuous linear control systems described by both fractional-order state space representation and fractional-order transfer function is mainly investigated in this paper. In terms of Lyapunov's stability theory and the stability analysis of the integer-order linear control systems, the definitions of external stability for fractional-order control systems are presented. By using the theorems of the Mittag-Leffler function in two parameters, the necessary and sufficient conditions of external stability are directly derived. The illustrative examples and simulation results are also given.关键词
fractional calculus/fractional-order system/fractional-order state space representation/fractional-order transfer function/external stabilityKey words
fractional calculus/fractional-order system/fractional-order state space representation/fractional-order transfer function/external stability分类
信息技术与安全科学引用本文复制引用
..External stability of fractional-order control systems[J].哈尔滨工业大学学报（英文版）,2006,13(1):32-36,5.基金项目
Sponsored by the Foundation of Shanghai Science and Technology Development (Grant No. 011607033 ). （Grant No. 011607033 ）
