Abstract
The paper is concerned with finite-time L1control for positive Markovian jump systems with constant time delay and partly known transition rates. By constructing appropriate co-positive type Lyapunov function, sufficient conditions for finite-time boundedness and L1finite-time boundedness of the underlying system are firstly given. Based on the results obtained, a state feedback controller is designed such that the closed-loop Markovian jump system is positive and L1finite-time bounded. All the proposed conditions are given in linear programming. Finally, an example is given to demonstrate the validity of the main results.
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