Rule-wise Linear Computational Verb Systems: Dynamics and Control

Rule-wise linear computational verb systems aregeneralizations of Takagi-Sugeno fuzzy systems. A rule-wise linearcomputational verb system consists of a set of computationalverbs of which the antecedents are conditions specified by usingcomputational verbs and the consequences are linear dynamicsystems. The computational verb rules in a rule-wise linearcomputational verb system are used to segment the dynamicsbehaviors of a dynamic process into different patterns and uselinear dynamic systems to approximate the dynamics of thesegmented patterns. The stability and robust stability of rulewiselinear computational verb systems will be studied in thebackground of control applications. Simulations are used to showdifferent kinds of dynamics, which range from stable to chaoticto unstable behaviors, of rule-wise linear computational verbsystems.