Compliant impacts can be modeled using linear viscoelastic constitutive models. While such
impact models for realistic viscoelastic materials using integer order derivatives of force and …

This paper compares several fractional operational matrices for solving a system of linear
fractional differential equations (FDEs) of commensurate or incommensurate order. For this …

This paper develops the fundamentals of optimal-tuning periodic-gain fractional delayed
state feedback control for a class of linear fractional-order periodic time-delayed systems …

In this paper, we propose a high-accuracy linear B-spline finite-difference approximation for
variable-order (VO) derivative. We consider VO fractional differentiation as a control …

This paper presents a new discretization technique for the forced Van der Pol oscillator with
variable order derivatives. The study introduces the variable-order fractional time derivatives …

In this chapter, two new methods are proposed to study the stability of linear fractional
periodic time-delayed (FPTD) systems. First, the explicit harmonic balance (EHB) method is …

This paper proposes a new technique to design an optimal observer-based feedback control
for linear fractional-order systems with constant or periodic coefficients. The proposed …

In this paper, fractional Chebyshev collocation method is proposed to study Lyapunov
exponents (LEs) and chaos in a fractional order system with nonlinearities. For this purpose …

In this paper, an adaptive neural fuzzy inference system (ANFIS)-based control technique is
proposed to stabilize dynamical systems with fractional order dampers. For this purpose, a …

In this paper, a new framework is presented for the dynamic modeling and control of fully
actuated multibody systems with open and/or closed chains as well as disturbance in the …