In this paper, a novel fractional-order 2I2SR rumor spreading model is investigated. Firstly, the boundedness and uniqueness of solutions are proved. Then next-generation matrix method used to calculate threshold. Furthermore, stability rumor-free/spreading equilibrium discussed based on Routh–Hurwitz criterion, Lyapunov function method, invariance principle. Next, necessary conditions for frac...

Abstract. The control problem of a novel hyperchaotic system is investigated. The linear, speed, nonlinear, nonlinear doubly-periodic function feedback controls are used to suppress hyperchaos to unstable equilibrium. Limit cases of doubly-periodic function are considered and the hyperbolic function and trigonometric function feedback control laws are derived. The Routh–Hurwitz criterion is app...

This study at aims performing the stability analysis of the rotational motion to artificial satellites using quaternions to describe the satellite attitude (orientation on the space). In the system of rotational motion equations, which is composed by four kinematic equations of the quaternions and by the three Euler equations in terms of the rotational spin components. The influence of the grav...

To address the contradiction between ride comfort and handling stability, a new vibration-absorbing wheel structure with time-delay feedback control was proposed by applying feedback-controlled dynamic vibration absorber to structure. Using H2 optimization particle swarm algorithm (PSO), design parameters of were obtained sprung mass acceleration (SMA), suspension deflection (SD) tire (DTD) as ...

In the design of decentralized networked systems, it is useful to know whether a given network topology can sustain stable dynamics. We consider a basic version of this problem here: given a vector space of sparse real matrices, does it contain a stable (Hurwitz) matrix? Said differently, is a feedback channel (corresponding to a non-zero entry) necessary for stabilization or can it be done wit...

in Distributed Object Computing Dimitrios Georgakopoulos Mark F. Hornick Frank Manola Michael L. Brodie Sandra Heiler Farshad Nayeri Benjamin Hurwitz GTE Laboratories Incorporated

It is shown that for four-transmitter systems, a family of four-by-four unit-rate complex quasi-orthogonal space–time block codes, where each entry equals a symbol variable up to a change of sign and/or complex conjugation, can be generated from any two independent codes via elementary operations. The two independent groups of codes in the family generally have different properties of diversity...

The auxiliary information has always been a source of improvement in estimation of certain population characteristics. Several estimators have been developed in single and two phase sampling which utilizes information on auxiliary variables as well as auxiliary attributes. The classical estimators which use information on auxiliary variables are the ratio and regression estimators as given in H...

In this paper, analytic expressions are derived for the complex and real stability radii of non-monic polynomial matrices with respect to an arbitrary stability region of the complex plane. Numerical issues for computing these radii for different perturbation structures are also considered with application to robust stability of Hurwitz and Schur polynomial matrices.

We study the extended Euler sums and the alternating extended Euler sums and establish their explicit expressions in terms of Riemann zeta functions and Hurwitz zeta functions. Comparing with the existing results, ours are simpler and thus yield significantly better accuracy when Matlab is used for numerical calculation.