This paper investigates a fuzzy reduced-order filter design for class of nonlinear partial differential equation (PDE) systems. First, Takagi-Sugeno (T-S) model is considered to reconstruct the PDE system. Then, employment an event-triggered mechanism (ETM) can effectively avoid signal redundancy and improve network resource utilization. Furthermore, based on advantages ETM, several Lyapunov fu...

We consider the fifth order partial differential equation (PDE) u4x,t − 5uxxt + 4ut + uu5x + 2uxu4x − 5uu3x − 10uxuxx + 12uux = 0, which is a generalization of the integrable Camassa-Holm equation. The fifth order PDE has exact solutions in terms of an arbitrary number of superposed pulsons, with geodesic Hamiltonian dynamics that is known to be integrable in the two-body case N = 2. Numerical ...

In this paper, we show how to efficiently achieve thermal cloaking from a computational standpoint in several virtual scenarios by controlling distribution of active heat sources. We frame problem the setting PDE-constrained optimization, where reference field is solution time-dependent equation absence object cloak. The optimal control then aims at actuating space–time so that outside obstacle...

In this paper, we propose the use of partial differential equation (PDE) based novel PDE transforms for determining jump discontinuity locations in piecewise smooth data containting potential isolated jump discontinuities. The PDE transform method involves evolving coupled PDEs under different time scales to extract edge information. Multiscale edge detection is done by varying the parameters a...

Depolarized dynamic light scattering (DLS), dielectric relaxation (DS), and deuterium NMR studies of fragile van der Waals glass forming liquids phenylphthalein-dimethylether (PDE) and cresolphthalein-dimethylether (KDE) are presented. In PDE a new dielectric loss process was found, which can be attributed to the 180 degrees flip of the phenyl rings. The previous finding that the distribution o...