This paper studies the causality, regularity, stochastic stability, guaranteed performance problem, and \(l_1\) -gain analysis of singular positive Markov jump systems (MJSs) with uncertain parameters and delay. By constructing an appropriate stochastic co-positive Lyapunov function, the issues of stochastic stability and guaranteed performance analysis are discussed firstly, and the corresponding sufficient conditions are derived in the form of a linear program (LP). On this basis, the influence of disturbance input on system output is considered. In addition, the design methodology to calculate the nonfragile output-feedback controller with event-triggered (E-T) scheme is also given based on matrix decomposition approach. Finally, the effectiveness of the obtained conditions and the proposed design approach is illustrated through two numerical examples.
