Technical Communique: Robust stabilization for uncertain discrete singular systems

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ROBUST STABILITY AND STABILIZATION OF A CLASS OF SINGULAR SYSTEMS WITH MULTIPLE TIME‐VARYING DELAYS (2006, methodology): “The purpose of the robust stability problem is to give conditions such that the uncertain singular system is regular, impulse free, and stable for all admissible uncertainties.”
Robust stability and stabilization of discrete singular systems: an equivalent characterization (2004, background): “This issue is much more complicated than that for the state-space case; one reason is that the Lyapunov matrix in discrete-time singular systems is indefinite, while in the state-space case the corresponding Lyapunov matrix is positive definite [20], [22]; this fact also leads to the requirement of ”
Robust stability and stabilization for singular systems with state delay and parameter uncertainty (2002, methodology): “Following the same philosophy as in dealing with the problems of robust stability and robust stabilization for uncertain singular systems without delay [20], [22], and taking into account Theorem 1, we introduce the following definitions.”