Control of Mental Stability in Emotion-Logic Interactive Dynamics

  • Aruna Chakraborty
  • Amit Konar
Part of the Studies in Computational Intelligence book series (SCI, volume 234)


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.


Emotional State Stable Point Atomic Proposition Common Interpretation Emotional Dynamic 
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© Springer-Verlag Berlin Heidelberg 2009

Authors and Affiliations

  • Aruna Chakraborty
    • Amit Konar

      There are no affiliations available

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