Sufficient stability conditions of fractional systems with perturbed differentiation orders

Stability of Fractional-Order Systems with Rational Orders

This paper deals with stability of a certain class of fractional order linear and nonlinear systems. The stability is investigated in the time domain and the frequency domain. The general stability conditions and several illustrative examples are presented as well.

Stability of nonlinear h-difference systems with n fractional orders

Stability of Fractional-order Systems with Rational Orders: a Survey

In this survey paper we review the methods for stability investigation of a certain class of fractional order linear and nonlinear systems. The stability is investigated in the time domain and the frequency domain. The general stability conditions and several illustrative examples are presented as well. Mathematics Subject Classification: 26A33 (main), 93D25, 30F99

Solutions for perturbed fractional Hamiltonian systems without coercive conditions

*Correspondence: [email protected] Department of Mathematics, Tianjin Polytechnic University, Tianjin, 300387, China Abstract In this paper we are concerned with the existence of solutions for the following perturbed fractional Hamiltonian systems: –tD∞(–∞Dt u(t)) – L(t)u(t) +∇W(t,u(t)) = f (t), u ∈ H (R,Rn) (PFHS), where α ∈ (1/2, 1), t ∈R, u ∈Rn, L ∈ C(R,Rn ) is a symmetric and positive de...

Sufficient conditions for global exponential stability of discrete switched time-delay systems with linear fractional perturbations via switching signal design

*Correspondence: [email protected] 1Department of Marine Engineering, National Kaohsiung Marine University, Kaohsiung, 811, Taiwan, ROC Full list of author information is available at the end of the article Abstract The switching signal design for global exponential stability of discrete switched systems with interval time-varying delay and linear fractional perturbations is considered in...