Dissipative control system for the stochastic nonlinear H∞ problems
Abstract We characterize functions satisfying a dissipative inequality associated with a stochastic control problem. Such a characterization is provided in terms of an upper generalized Gaussian solution, or a viscosity supersolution to a partial differential equation called Hamilton–Jacobi equation (H–J). Links between upper generalized Gaussian solutions and viscosity supersolutions to Hamilton–Jacobi equation are studied. Finally it shows that generalized Gaussian solutions is identical to viscosity solutions to Hamilton–Jacobi equation.
Abstract The present investigation deals with a theoretical analysis of direct contact sensible heat transfer between two immiscible liquids in a countercurrent spray column. The non-dimensional parameters governing the heat transfer process are identified and a study of the effects of the variation of these parameters is made. The predicted column heights and the temperature profiles of both the phases along the column compare favourably with the available experimental data.