2 Derivative Estimates for Rectangular Lattice Topology 4 2.1 Rectangle Topology . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5 2.2 Cylindrical Topology . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 6 2.3 Toroidal Topology . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 6 2.4 Spherical T...

Control of liquid level in the interacting nonlinear spherical tank due to the variation in the area of cross section with height is the basic problem in the industries. This paper presents the controlling of nonlinear interacting system using Skogestad PID controller. The system of two tanks is considered to be a second order system. Skogestad Proportional Integral Derivative Controller is bei...

Topological concepts have been introduced into electronic, photonic, and phononic systems, but have not been studied in surface-water-wave systems. Here we study a one-dimensional periodic resonant surface-water-wave system and demonstrate its topological transition. By selecting three different water depths, we can construct different types of water waves - shallow, intermediate and deep water...