A qualitative physics based on confluences
Artificial Intelligence - Special volume on qualitative reasoning about physical systems
Artificial Intelligence - Special volume on qualitative reasoning about physical systems
Higher-order derivative constraints in qualitative simulation
Artificial Intelligence - Special issue: Qualitative reasoning about physical systems II
Qualitative reasoning: modeling and simulation with incomplete knowledge
Qualitative reasoning: modeling and simulation with incomplete knowledge
Automated modeling of complex systems to answer prediction questions
Artificial Intelligence
Model decomposition and simulation: a component based qualitative simulation algorithm
AAAI'97/IAAI'97 Proceedings of the fourteenth national conference on artificial intelligence and ninth conference on Innovative applications of artificial intelligence
Making Use of Contradictory Behavior Information in Qualitative Reasoning
IEEE Transactions on Pattern Analysis and Machine Intelligence
Qualitative simulation and related approaches for the analysis of dynamic systems
The Knowledge Engineering Review
Towards a practical theory of reformulation for reasoning about physical systems
Artificial Intelligence - Special volume on reformulation
Towards a practical theory of reformulation for reasoning about physical systems
Artificial Intelligence - Special volume on reformulation
Model decomposition and simulation: a component based qualitative simulation algorithm
AAAI'97/IAAI'97 Proceedings of the fourteenth national conference on artificial intelligence and ninth conference on Innovative applications of artificial intelligence
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One of the major factors hindering the use of qualitative simulation techniques to reason about the behavior of complex dynamical systems is intractable branching due to a phenomenon called chatter. This paper presents two general abstraction techniques that solve the problem of chatter. Eliminating the problem of chatter significantly extends the range of models that can be tractably simulated using qualitative simulation. Chatter occurs when a variable's direction of change is constrained only by continuity within a region of the state space. This results in intractable, potentially infinite branching within the behavioral description due to irrelevant distinctions in the direction of change. While a number of techniques have been proposed to eliminate chatter, none of them provide a general solution that can eliminate all instances of chatter. Chatter box abstraction and dynamic chatter abstraction provide two such solutions to this problem. Both solutions eliminate chatter by abstracting the chattering region of the state space into a single qualitative state with an abstract direction of change. The algorithms differ in the manner in which they identify the chattering region of the state space.