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Stabilization of a class of fractional-order nonautonomous systems using quadratic Lyapunov functions.
- Source :
-
Advances in Difference Equations . 1/15/2018, Vol. 2018 Issue 1, p1-N.PAG. 15p. - Publication Year :
- 2018
-
Abstract
- In this paper, we aim to solve the stabilization problem for a large class of fractional-order nonautonomous systems via linear state feedback control and adaptive control. By constructing quadratic Lyapunov functions and utilizing a new property for Caputo fractional derivative we derive some sufficient conditions for the global asymptotical stabilization of a class of fractional-order nonautonomous systems. We give two illustrative examples to validate the effectiveness of the theoretical results. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 16871839
- Volume :
- 2018
- Issue :
- 1
- Database :
- Academic Search Index
- Journal :
- Advances in Difference Equations
- Publication Type :
- Academic Journal
- Accession number :
- 127331854
- Full Text :
- https://doi.org/10.1186/s13662-017-1459-9