Asymptotic Stability Analysis of Time-Dependent Fuzzified XOR-Type Cellular Automata
The paper discusses the question of stability of time-dependent fuzzified cellular automata. A special class of local rules is considered, namely fuzzified boolean local rules of XOR-type. Long term dynamics of such automata is examined, and the results are used for establishing Lyapunov or asymptotic stability of automata in question, depending on a degree of dependence of local rules on their arguments.
Keywords: Fuzzy cellular automata, time-dependent cellular automata, XOR-type local rules, long term dynamics, stability analysis, Lyaponov stability, asymptotic stability