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Lyapunov Functions and Sliding Mode Control for Two Degrees-of-Freedom and Multidegrees-of-Freedom Fractional Oscillators
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: This paper addresses the Lyapunov functions and sliding mode control design for two degrees-of-freedom (2DOF) and multidegrees-of-freedom (MDOF) fractional oscillators. First, differential equations of motion for 2DOF ...
Equivalence of Initialized Fractional Integrals and the Diffusive Model
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: Fractional calculus is viewed as a novel and powerful tool to describe the stress and strain relations in viscoelastic materials. Consequently, the motions of engineering structures incorporated with viscoelastic dampers ...