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This paper addresses the stability and stabilization problem of a class of discrete-time linear systems with delays, under positivity restriction. A controller is designed for guaranteeing asymptotical stability and positivity of the resulted closed-loop systems. The necessary and sufficient conditions for the existence of such a controller proposed in terms of a set of linear matrix inequalities...
This paper addresses the bounded control of positive systems, both continuous- and discrete-time ones. The control is under boundedness constraint, which means that both the input and the states of the closed-loop system are bounded and positive (the original systems are not necessarily positive). The main contribution lies in two aspects. First, a necessary and sufficient condition is provided for...
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