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Mathematical Representation of Multi-resolutional World Modeling

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Abstract

Multi-resolutional representation of systems is an integral part of most hierarchical intelligent control architectures. Although many aspects of this representation have been discussed, there had been very little attempt to describe it formally. This document attempts to provide the most common aspects of a multi-resolutional representation in a general mathematical framework. The framework is described by utilizing the most abstract notions possible in an effort to cover a broad range of applications.

Keywords

  • Computational Complexity
  • Computer Control Systems
  • Computer Simulation
  • Computer Systems
  • Conformal Mapping
  • Constraint Theory
  • Finite Automata
  • Hierarchical Systems
  • Intelligent Control
  • Mathematical Representation
  • Mathematical Techniques
  • Multi-resolutional World Modeling
  • Structure-based Hierarchy

Disciplines

  • Electrical and Computer Engineering

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