This study presents the design and real-time applications of an Interval Type-2 Fuzzy PID (IT2-FPID) control system on unmanned aerial vehicle (UAV) with a flexible cable-connected payload in comparison to Type-1 (T1-FPID) counterparts. The IT2-FPID has significant stability, disturbance rejection, response time advantages. To prove show these advantages, DJI Tello, commercial UAV, is used test...

The Cyclic Model is a radical, new cosmological scenario which proposes that the Universe undergoes an endless sequence of epochs which begin with a ‘big bang’ and end in a ‘big crunch.’ When the Universes bounces from contraction to re-expansion, the temperature and density remain finite. The model does not include a period of rapid inflation, yet it reproduces all of the successful prediction...

Abstract One of the simplest time-dependent solutions of M theory consists of nine-dimensional Euclidean space times 1+1-dimensional compactified Milne space-time. With a further modding out by Z2, the space-time represents two orbifold planes which collide and re-emerge, a process proposed as an explanation of the hot big bang [1, 2, 3]. When the two planes are near, the light states of the th...

We determine the inner product on Hilbert space of wavefunctions universe by imposing Hermiticity quantum Hamiltonian in context minisuperspace model. The corresponding probability density reproduces successfully classical distribution $\hbar \to 0$ limit, for closed universes filled with a perfect fluid index $w$. When $-1/3<w\le 1$, wavefunction is normalizable and becomes vanishingly small a...

Cosmological solutions of gravity coupled to scalar fields, with arbitrary scalar potential, were recently shown to be geodesics in an appropriately augmented, and conformally rescaled, target space. Here we obtain these geodesics as solutions of the Euler-Lagrange equations of a relativistic particle action. As an application, we find some exact (flat and curved) cosmologies for models with N ...

We consider branes N in a Schwarzschild-AdS(n+2) bulk, where the stress energy tensor is dominated by the energy density of a scalar fields map φ : N → S with potential V , where S is a semiRiemannian moduli space. By transforming the field equation appropriately, we get an equivalent field equation that is smooth across the singularity r = 0, and which has smooth and uniquely determined soluti...