Practical Stability and Exponential Estimates of Trajectory Bounds for Retarded Systems with Bounded Disturbances

The properties of practical stability and exponential estimates of trajectory bounds for retarded systems with uncertain external disturbances are investigated. Our approach is adaptable to general regarded functional differential equations RFDEs.with bounded disturbances. By applying our results to the LQ regulator problem with uncertain input delay and bounded external disturbances, it can be found that our results provide an effective method for quantitative stability analysis of retarded systems