Genosdependenzen

Dynamic Fuzzy Pattern Recognition with Applications to Finance and Engineering

“…A dynamic system, or process, is defmed by input variables Ul(t), ... , up (t), which are used to influence the system, and output variables Yl(t), ... , yq(t), whose dynamic behaviour is of major interest [Follinger, Franke, 1982]. In order to obtain a system of normal differential equations representing the relationship between input and output variables, intermediate variables, which are called state variables x,(t), ... , xn(t), are used.…”

“…For a given initial state Xo = x(to) and a given end state Xe = x(te), there is an infinite number of input vectors and corresponding trajectories with the same start and end points. On the other side, considering any point of the state space there is exactly one trajectory containing this point [Follinger, Franke, 1982].…”