A simple approach to robustD‐stability analysis for uncertain singular delay systems

This note presents a simple approach to analyze robustD‐stability for uncertain continuous‐time singular systems with state delay and structured uncertainties. Sufficient conditions, which are computationally simple, and need not calculate the eigenvalues of the system, are proposed to ensure that the uncertain continuous‐time singular delay system is regular, impulse free andD‐stable, that is, all its finite poles are located within a specified disk. Two numerical examples are given to demonstrate the application of the proposed method.