Qualitative algebraic equations are the basis of qualitative simulation,which are used to express the dynamic behavior of steady-state continuous processes.When the values and operation of qualitative variables are re...Qualitative algebraic equations are the basis of qualitative simulation,which are used to express the dynamic behavior of steady-state continuous processes.When the values and operation of qualitative variables are redefined,qualitative algebraic equations can be transformed into signed direct graphs,which are frequently used to predict the trend of dynamic changes.However,it is difficult to use traditional qualitative algebra methods based on artificial trial and error to solve a complex problem for dynamic trends.An important aspect of modern qualitative algebra is to model and characterize complex systems with the corresponding computer-aided automatic reasoning.In this study,a qualitative affection equation based on multiple conditions is proposed,which enables the signed di-rect graphs to describe complex systems better and improves the fault diagnosis resolution.The application to an industrial case shows that the method performs well.展开更多
In this paper we analyze the qualitative behaviour of the equation ε+q(X) +εX=bp(t), where e is a small parameter.We divide the interval of parameter b into four sets of subintervals,A, B,C and D.For bA,B or D,we di...In this paper we analyze the qualitative behaviour of the equation ε+q(X) +εX=bp(t), where e is a small parameter.We divide the interval of parameter b into four sets of subintervals,A, B,C and D.For bA,B or D,we discuss the different structures of the attractors of the equation and their stabilities.When chaotic phenomena appear,we also estimate the entropy.For bC,the set of bifurcation intervals,we analyze the bifurcating type and get a series of consequences from the results of Newhouse and Palis.展开更多
The main target of Qualitative reasoning (QS) is to seek a computational theory in order to analog the human’s ability to acquisition and reasoning for physical common sense knowledge.Afte the publication of the firs...The main target of Qualitative reasoning (QS) is to seek a computational theory in order to analog the human’s ability to acquisition and reasoning for physical common sense knowledge.Afte the publication of the first special volume of qualitative reasoning in Journal of AI at 1984,it has been admitted generally that there are three main methods of qualitative reasoning.Although the original goal of three methods are closed, all aim to the "Naive physics", the qualitative simulation method initiated by B.J.Kuipers now has already had a distance with the "Naive physics". It is being combined with sophisticated mathematical tools and becomes a powerful tool for describing the possible behaviors of incomplete systems, meanwhile, the application areas of qualitative simulation have been expanded from physical area to physiology, chemical engineering, automatic control, and economics, etc.. In this paper, we apply the QSIM algorithm to simulate a SISO system characterized by incomplete knowledge and use FPA method to analyze the qualitative stability of such system.展开更多
基金Supported by the National High Technology Research and Development Program of China(2009AA04Z133)
文摘Qualitative algebraic equations are the basis of qualitative simulation,which are used to express the dynamic behavior of steady-state continuous processes.When the values and operation of qualitative variables are redefined,qualitative algebraic equations can be transformed into signed direct graphs,which are frequently used to predict the trend of dynamic changes.However,it is difficult to use traditional qualitative algebra methods based on artificial trial and error to solve a complex problem for dynamic trends.An important aspect of modern qualitative algebra is to model and characterize complex systems with the corresponding computer-aided automatic reasoning.In this study,a qualitative affection equation based on multiple conditions is proposed,which enables the signed di-rect graphs to describe complex systems better and improves the fault diagnosis resolution.The application to an industrial case shows that the method performs well.
文摘In this paper we analyze the qualitative behaviour of the equation ε+q(X) +εX=bp(t), where e is a small parameter.We divide the interval of parameter b into four sets of subintervals,A, B,C and D.For bA,B or D,we discuss the different structures of the attractors of the equation and their stabilities.When chaotic phenomena appear,we also estimate the entropy.For bC,the set of bifurcation intervals,we analyze the bifurcating type and get a series of consequences from the results of Newhouse and Palis.
文摘The main target of Qualitative reasoning (QS) is to seek a computational theory in order to analog the human’s ability to acquisition and reasoning for physical common sense knowledge.Afte the publication of the first special volume of qualitative reasoning in Journal of AI at 1984,it has been admitted generally that there are three main methods of qualitative reasoning.Although the original goal of three methods are closed, all aim to the "Naive physics", the qualitative simulation method initiated by B.J.Kuipers now has already had a distance with the "Naive physics". It is being combined with sophisticated mathematical tools and becomes a powerful tool for describing the possible behaviors of incomplete systems, meanwhile, the application areas of qualitative simulation have been expanded from physical area to physiology, chemical engineering, automatic control, and economics, etc.. In this paper, we apply the QSIM algorithm to simulate a SISO system characterized by incomplete knowledge and use FPA method to analyze the qualitative stability of such system.
