首页|期刊导航|哈尔滨工业大学学报（英文版）|Research on the stability, controllability and observability for fractional order LTI systems
哈尔滨工业大学学报（英文版）2006，Vol.13Issue(5)：580-583,4.
Research on the stability, controllability and observability for fractional order LTI systems
Research on the stability, controllability and observability for fractional order LTI systems
摘要
Abstract
The state space representations of fractional order linear time-invariant (LTI ) systems are introduced, and their solution formulas are deduced by means of Laplace transform. The stability condition of fractional order LTI systems is given, and its proof is deduced by means of using linear non-singularity transform and the derivative property of Mittag-Leffler function. The controllability condition of fractional order LTI systems is given, and its proof is deduced by means of using its characteristic polynomial and the Cayley-Hamilton theorem. The observability condition of fractional order LTI systems is given, and its proof is deduced by means of their solution formulas. Finally an example is given to prove the correctness of the stability, controllability, and observability conditions mentioned above. s are deduced by means of Laplace transform. Their stability, controllability and observability conditions are given as well as their proofs.关键词
fractional calculus/fractional order system/stability/controllability/observabilityKey words
fractional calculus/fractional order system/stability/controllability/observability分类
信息技术与安全科学引用本文复制引用
WANG Zhen-bin,CAO Guang-yi,ZHU Xin-jian..Research on the stability, controllability and observability for fractional order LTI systems[J].哈尔滨工业大学学报（英文版）,2006,13(5):580-583,4.基金项目
Sponsored by the National High Technology Research and Development Program of China (Grant No. 2003AA517020), the National Natural Science Foundation of China ( Grant No. 50206012 , and Developing Fund of Shanghai Science Committee ( Grant No. 011607033 ) （Grant No. 2003AA517020）
