Delay-Dependent Stability Analysis of Singular Linear Continuous-time System

By El Kebir Boukas, Z. Liu. 2003 4th International Conference on Control and Automation Proceedings, 2003

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DELAY‐DEPENDENT ROBUST CONTROL OF DESCRIPTOR SYSTEMS WITH TIME DELAY (2006, methodology): “However, the results obtained in [2] are based on some model transformation technique and the assumption that the slow state x1(t) and the fast state x2(t) satisfy || x2(t) ||(2) ≤ x1(t) M x1(t).”
Switched nonlinear singular systems with time‐delay: Stability analysis (2015, background): “In addition, regular time-delay systems with algebraic constraint conditions and time-delay composite control systems are all singular time-delay systems; for retarded problem, the reader can refer, for instance, to papers such as [11, 12].”
On stability and stabilisation of continuoustime singular markovian switching systems (2008, unknown): “Most of the results developed for this class of systems are not easily tractable for more details we refer the reader to [33, 34, 35] where different approaches have been used to get the established results that are totally different from the one of this paper.”
On the stability issues of switched singular time‐delay systems with slow switching based on average dwell‐time (2014, background): “Because singular systems constitute an important class of systems of both theoretical and practical significance, many approaches have been developed to investigate their stability and stabilization [1–3], solvability [4], optimal control [5,6], and applications [7].”