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This paper introduces a robust penalty game approach to deal with the regulation problem for discrete-time Markovian jump linear systems subject to uncertainties. The solution provided is based on recursive Riccati equations which do not depend on any auxiliary parameter to be adjusted. In virtue of the similarity with the standard nominal regulator problem, the stability of this robust regulator...
This paper deals with robust regulation problem for discrete-time linear systems subject to uncertainties. The uncertainties are assumed bounded. A new functional based on the combination of penalty functions and weighted game-type cost function is defined to deal with this problem. The solution provided is based on recursive Riccati equations. An interesting feature of this approach is that the recursiveness...
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