Hyperstability of Linear Feed-Forward Time-Invariant Systems Subject to Internal and External Point Delays and Impulsive Nonlinear Time-Varying Feedback Controls

This paper investigates the asymptotic hyperstability of a single-input–single-output closed-loop system whose controlled plant is time-invariant and possesses strongly strictly positive real transfer function that subject to internal external point delays. There are, in general, two controls involved, namely, one stabilizes with linear state feedback independent delay sizes belongs an hyperstable class satisfies Popov’s-type time integral inequality. Such controllers under consideration combines, regular impulse-free part impulsive part.