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Extra info for Advanced Intelligent Computing Theories and Applications. With Aspects of Contemporary Intelligent Computing Techniques: Third International Conference ... in Computer and Information Science)
S. Huang, L. Heutte, and M. ): ICIC 2007, CCIS 2, pp. 11–20, 2007. -P. -S. -Y. Lin algorithm merges the advantage of variable vigilance value of the ART and the pruning mechanism of the GAR (Grow and Represent Model)  theorem, amending the disadvantage of the boxes method which maps only one activated box for each input vector. It dynamically adjusts the size and location of the sensitivity region for activated neurons, and makes boundaries between categories to be changeable, resulting in producing more suitable input for increasing the system learning speed.
By Lemma 3, in order to show that the equilibrium z ∗ of System (1) is delay-independent asymptotical stability, we need prove the following two conditions 1) −E + T is a Hurwitz matrix; 2) det(G(jω, τ )) = 0 for any ω ∈ IR and any τ ≥ 0. Let λ be an arbitrary eigenvalue of the matrix −E + T , this implies that λ + 1 is an eigenvalue of the matrix T . By Lemma 1 and the assumption of Theorem 1, we have |λ + 1| ≤ ||T ||∞ < 1 . This shows that the real part of the complex number λ is negative, that is, −E + T is a Hurwitz matrix, Condition 1) holds.
Q is updated according to equation (7). 1 Cart-Pole Simulation The well-known cart-pole simulation having been used in verification of the performance of reinforcement learning algorithms is simulated here to check if the proposed architecture works. A typical mathematical model of a cart-pole system can be represented by forms as (8) and (9). We use fourth order Runge-Kutta to simulate the cart-pole model by a personal computer . -P. -S. -Y. Lin xt = Ft + ml[θ t2 sin θ t − θ t cos θ t ] − µ c sgn( xt ) ..