Sentence examples for systems with fractional from inspiring English sources
Melnikov's procedure for defining the criteria for transversal intersection of the stable and unstable manifolds is extended for the systems with fractional order deflection function.
A method is presented to compute the stochastic response of single-degree-of-freedom (SDOF) structural systems with fractional derivative damping, subjected to stationary and non-stationary inputs.
In three-fluid systems with fractional wettability, the observed dependency of capillary pressures on fluid saturations suggested that there was no continuous intermediate phase — even for a relatively low oil-wet fraction (25%).
However, to the best our knowledge, there are only a few papers dealing with systems with fractional boundary value problems.
Optimal power allocation for femtocells is discussed in[14], based on an analysis of the macrocellular interference in OFDMA systems with fractional frequency reuse.
In this paper, both state and output feedback stabilization controllers are designed for triangular fractional-order linear time-invariant (FO-LTI) systems with fractional-order 0<α<2.
Secondly, based on the slack variable method and FOS stability criteria, sufficient conditions in the form of linear matrix inequality (LMI) are derived for the robust asymptotical stability of the closed-loop control systems with fractional-order 0<α<1.
The proposed methods in this paper can be used to study the synchronization of chaotic and hyperchaotic systems or multi-synchronization systems with fractional-order derivative.
The chaotic behavior of the piezoelectric vibration energy harvester (VEH) system with fractional order physical properties under randomly disordered periodic excitations is investigated.
A simplified yet representative nonlinear system with fractional viscoelastic damping and cubic stiffness nonlinearity is used to illustrate the existence of periodic steady-state solutions, as well as amplitude frequency characteristics of such fractional nonlinear systems.
In the proposed approach, after applying the Laplace transform and the inverse transform to the equations of motion, the solution obtained for the system with fractional dampers is equivalent to the modal solution used in the case of proportional damping.
