Extracting and Representing Qualitative Behaviors of Complex Systems in Phase Spaces

We develop a qualitative method for understanding and representing phase space structures of complex systems and demonstrate the method with a program, MAPS --- Modeler and Analyzer for Phase Spaces, using deep domain knowledge of dynamical system theory. Given a dynamical system, the program...

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Main Author: Zhao, Feng
Language:en_US
Published: 2004
Subjects:
Online Access:http://hdl.handle.net/1721.1/5987
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author Zhao, Feng
author_facet Zhao, Feng
author_sort Zhao, Feng
collection MIT
description We develop a qualitative method for understanding and representing phase space structures of complex systems and demonstrate the method with a program, MAPS --- Modeler and Analyzer for Phase Spaces, using deep domain knowledge of dynamical system theory. Given a dynamical system, the program generates a complete, high level symbolic description of the phase space structure sensible to human beings and manipulable by other programs. Using the phase space descriptions, we are developing a novel control synthesis strategy to automatically synthesize a controller for a nonlinear system in the phase space to achieve desired properties.
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spelling mit-1721.1/59872019-04-09T17:30:50Z Extracting and Representing Qualitative Behaviors of Complex Systems in Phase Spaces Zhao, Feng automated control knowledge representation non-linearsdynamical systems We develop a qualitative method for understanding and representing phase space structures of complex systems and demonstrate the method with a program, MAPS --- Modeler and Analyzer for Phase Spaces, using deep domain knowledge of dynamical system theory. Given a dynamical system, the program generates a complete, high level symbolic description of the phase space structure sensible to human beings and manipulable by other programs. Using the phase space descriptions, we are developing a novel control synthesis strategy to automatically synthesize a controller for a nonlinear system in the phase space to achieve desired properties. 2004-10-04T14:25:29Z 2004-10-04T14:25:29Z 1991-03-01 AIM-1274 http://hdl.handle.net/1721.1/5987 en_US AIM-1274 22 p. 3495943 bytes 2787577 bytes application/postscript application/pdf application/postscript application/pdf
spellingShingle automated control
knowledge representation
non-linearsdynamical systems
Zhao, Feng
Extracting and Representing Qualitative Behaviors of Complex Systems in Phase Spaces
title Extracting and Representing Qualitative Behaviors of Complex Systems in Phase Spaces
title_full Extracting and Representing Qualitative Behaviors of Complex Systems in Phase Spaces
title_fullStr Extracting and Representing Qualitative Behaviors of Complex Systems in Phase Spaces
title_full_unstemmed Extracting and Representing Qualitative Behaviors of Complex Systems in Phase Spaces
title_short Extracting and Representing Qualitative Behaviors of Complex Systems in Phase Spaces
title_sort extracting and representing qualitative behaviors of complex systems in phase spaces
topic automated control
knowledge representation
non-linearsdynamical systems
url http://hdl.handle.net/1721.1/5987
work_keys_str_mv AT zhaofeng extractingandrepresentingqualitativebehaviorsofcomplexsystemsinphasespaces