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Stability of fractional-order nonlinear dynamic systems: Lyapunov direct method and generalized Mittag–Leffler stability

Computers and Mathematics With Applications, 2010
Yan Li, YangQuan Chen, Igor Podlubny
exaly  

On the construction of Lyapunov functions. I

The author studies vector fields on finite-dimensional smooth manifolds. To construct a Lyapunov function related to an equilibrium of a vector field, he uses the concept of `pilot function' introduced by him in [Autom. Remote Control 61, No. 4, Part 1, 585--594 (2000); translation from Avtom. Telemekh. 2000, No. 4, 51--60 (2000; Zbl 1060.34505)].
openaire   +2 more sources

Stabilization of Continuous-Time Fractional Positive Systems by Using a Lyapunov Function

IEEE Transactions on Automatic Control, 2014
A. Benzaouia   +4 more
semanticscholar   +1 more source

A constructive Lyapunov function design method for a class of homogeneous systems

IEEE Conference on Decision and Control, 2014
Tonametl Sanchez, J. Moreno
semanticscholar   +1 more source

Lyapunov, Adaptive, and Optimal Design Techniques for Cooperative Systems on Directed Communication Graphs

IEEE Transactions on Industrial Electronics, 2012
Hongwei Zhang, Frank L Lewis, Zhihua Qu
exaly  

Using general quadratic Lyapunov functions to prove Lyapunov uniform stability for fractional order systems

Communications in Nonlinear Science and Numerical Simulation, 2015
Manuel A Duarte-Mermoud   +2 more
exaly  

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