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 …

Various phenomena in science, physics, and engineering result in the Mathieu equation
with cubic nonlinear term, known as the Mathieu–Duffing equation. In previous works …

This paper presents a new method to identify unknown parameters of linear fractional order
systems by discretizing it at the Gauss-Lobatto-Chebyshev collocation points. The proposed …

This paper proposes a new strategy to design an optimal fractional state feedback control for
linear fractional periodic time-delayed (FPTD) systems. Although there exist different …

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 …

The resonant behavior of fractional-order Mathieu oscillator subjected to external harmonic
excitation is investigated. Based on the harmonic balance (HB) method, the first-order …

In this paper, the fractional Chebyshev collocation (FCC) method is proposed to design
fractional delay controllers for linear systems with periodic coefficients. In our previous study …