In this paper, we find explicit solution to the operator equation $TXS^* -SX^*T^*=A$ in the general setting of the adjointable operators between Hilbert $C^*$-modules, when $T,S$ have closed ranges and $S$ is a self adjoint operator.

Remanufacturing is an industrial process that makes used products reusable. Remanufacturing is a way to establish a closed-loop supply chain. One of the important aspects in both reverse logistics and remanufacturing is pricing of returned and remanufactured products (called cores) that it has been noticed in this paper. In addition, in this paper the researchers have tried to present a mathema...

in this paper, we introduce λκ−closed sets and study its properties in generalized topological spaces.

This paper presents H∞ control problem for input-delayed systems. A neutral system approach is considered to the design of PD controller for input delay systems in presence of uncertain time-invariant delay. Using this approach, the resulting closed-loop system turns into a specific time-delay system of neutral type. The significant specification of this neutral system is that its delayed coeff...

This paper develops a closed-form formula, f ( k ), to count the number of transition-tour sequences of length k for bistable machines. It is shown that the function f ( k ) is related to Fibonacci numbers. Some applications of the results in this paper are in the areas of: testable sequential machine designs, random testing of register data paths, and qualification tests for random pattern gen...

Adaptive meshes are dynamic networks of nodal masses interconnected by adjustable springs. They are useful for nonuniformly sampling and reconstructing visual data. This paper extends the adaptive mesh model in the following ways: it (i) develops open adaptive meshes and closed adaptive shells based on triangular and rectangular elements, (ii) proposes a discontinuity detection and preservation...