A rational agent derives its choice of action from its beliefs and goals. Goals can be distinguished into achievement goals and maintenance goals. The aim of this paper is to define a mechanism which ensures the satisfaction of maintenance goals. We argue that such a mechanism requires the agent to look ahead, in order to make sure that the execution of actions does not lead to a violation of a...

In this paper we consider the problem of optimizing the ' H Z norm, while keeping the L1 norms of some other transfer functions under specified levels. We show that the optimal closed-loop impulse responses of transfer functions in the constraints have finite support, and thus nonrational Laplace transforms. To solve the difficulty of implementing non-rational controllers, we propose a method f...

In this note we consider the following high-order rational difference equation xn = 1+ k ∏ i=1 (1− xn−i ) k ∑ i=1 xn−i , n = 0, 1, . . . , where k ≥ 3 is odd number, x−k , x−k+1, x−k+2, . . . , x−1 is positive numbers. We obtain the boundedness of positive solutions for the above equation, and with the perturbation of initial values, we mainly use the transformation method to prove that the pos...