Criteria on Exponential Incremental Stability of Dynamical Systems with Time Delay

Incremental stability analysis for time-delay systems has attracted more and attention its contemporary applications in transportation processes, population dynamics, economics, satellite positions, etc. This paper researches the criteria exponential incremental with continuous or discontinuous right-hand sides. Firstly, sufficient conditions sides are studied, several corollaries specific cases provided. As sides, after expounding relevant existence uniqueness of Filippov solution, by using approximation methods, obtained. The conclusions applied to linear switched Hopfield neural network composite