Control of Mental Stability in Emotion-Logic Interactive Dynamics

Stability of physical system is usually analyzed from the static and dynamic considerations of the system. Classical logic of propositions can be compared with a static physical system from the point of view of its stability. When a notion of time is attached to the classical logic, its dynamic behavior becomes comparable to the behavior of a dynamic physical system. The chapter addresses the issues of stability analysis of both (non-temporal) static and temporal logic systems. It extends propositional temporal logic by fuzzy sets and provides a general method to determine the condition for stability of a dynamic fuzzy reasoning system. The latter part of the chapter provides a framework to represent emotional dynamics by differential equations and determines the condition for stability of the dynamics. Next a control scheme to stabilize the emotional dynamics by adapting its parameters is discussed. Finally, the chapter proposes a new scheme to control the state of mind/actions, by reducing the difference between emotional states and temporal states of fuzzy reasoning system.