This paper addresses the Lyapunov functions and sliding mode control design for two-degree-of-freedom (2DOF) and multi-degree-of-freedom (MDOF) fractional oscillators. Firstly, differential equations of motion for 2DOF fractional oscillators are established by adopting the fractional Kelvin-Voigt c ...
Application of fractional calculus representations, shortly termed as fractional constitute relations becomes an effective and powerful technique to characterize the rheological behavior of viscoelastic materials. Research on fractional oscillators provides a novel approach to deal with vis ...
题目：Study on Topology of the Set of Equilibrium Points of Longitudinal Dynamics of Hypersonic Vehicles ， 会议： Industrial Control and Electronics Engineering (ICICEE) ， 2012 作者： 杨万利，袁建
题目： On Fractional Model Reference Adaptive Control The Scientific World Journal, 2013, SCI, 1.730, 时宝，袁建，董超 This paper extends the conventional Model Reference Adaptive Control systems to fractional ones based on the theory of fractional calculus. A control law and an incommensura ...
题目： Pseudo-state sliding mode control of fractional SISO nonlinear systems Advances in mathematical physics, 2013 ， SCI, 0.459 时宝，袁建，董超 This paper deals with the problem of pseudo-state sliding mode control of fractional SISO nonlinear systems with model inaccuracies. Firstl ...
Sliding mode control of the fractional order unified chaotic system, Abstract and Applied Analysis, 2013 袁建，时宝，曾晓云，纪文强，潘特铁 This paper deals with robust synchronization of the fractional order unified chaotic systems. Firstly, control design for synch ...
作者：袁建， 时宝，纪文强, 题目：Adaptive sliding mode control of a novel class of fractional chaotic systems 期刊：Advances in Mathematical Physics, 2013 In this paper we introduce a novel class of fractional chaotic systems in the pseudo-state space and propose an adaptive sli ...
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