In this paper a procedure for construction of complete type Lyapunov–Krasovskii functionals for a scalar neutral type time delay equation is considered. The construction of the functionals depends on the so-called Lyapunov functions which satisfy a delay equation with additional boundary conditions. It is shown that these functionals admit lower and upper quadratic bounds. Exponential estimates...

Dynamics of quantum field theory can be formulated by functional equations. To develop a complete functional quantum theory one has to describe the physical information by functional operations only. Such operations have been defined in preceding papers. To apply these operations to physical problems, the corresponding functionals have to be known. Therefore in this paper calculational procedur...

This paper proposes an adaptive neural network (NN) controller for a class of multi-input multi-output (MIMO) nonlinear systems with unknown delays, but with known bounds on the delay functionals. The use of a separation technique removes the need to make any assumptions with regard to the structure of the delay functionals, thus making our results applicable to a larger class of systems. Given...