Infinite horizon fuzzy optimal control: optimality does not imply asymptotic stability

In this paper, novel stability result for discrete-time infinite horizon optimal control using fuzzy objective functions is presented. For class of control, the goals and constraints introduced in function handle placed on both state vectors. We analyze asymptotic equilibrium law minimum aggregation operator. show that with operator does not guarantee general. This done by deriving an analytical solution a simple linear system dynamic programming approach. An example shows problem given.