Practical Measurement of Complexity In Dynamic Systems

Abstract

A difficulty in complexity theory is lack of a clear definition for complexity, particularly one that is measurable. Those approaches that provide measurable definitions for the absolute complexity of a system often impose the requirement of perfect or near-perfect knowledge of system structure. In practice, it is intractable or impossible to measure the complexity of most dynamic systems. However, by measuring behavioral complexity in context with environmental scenarios, it is possible to set bounds on a system's absolute (maximum) complexity and estimate its total complexity. As this paper shows, behavioral complexity can be determined by observing a system's changes in kinetic energy. This research establishes a methodology for measuring complexity in dynamic systems without the requirement of system structure knowledge. This measurement can be used to compare systems understand system risks, determine failure dynamics, and guide system architecture.

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Document Details

Document Type
Technical Report
Publication Date
Jan 01, 2012
Accession Number
ADA557296

Entities

People

  • David R. Jacques
  • Jason B. Clark

Organizations

  • Air Force Institute of Technology

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Adaptive Systems
  • Air Force
  • Aircrafts
  • Complex Adaptive Systems
  • Complex Systems
  • Computer Science
  • Computers
  • Energy
  • Energy Transfer
  • Engineering
  • Kinetic Energy
  • Linear Systems
  • Measurement
  • Particles
  • Standards
  • Systems Engineering

Fields of Study

  • Computer science
  • Engineering

Readers

  • Distributed Systems and Data Platform Development
  • Regression Analysis.
  • Software Engineering.