Classical Control Theory Applied to Potentially Chaotic Systems
Computer Applications in Engineering Education
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Some nonlinear systems of order three or higher become chaotic for certain parameter values and initial conditions. Interesting examples have been discussed in recent years, using sophisticated mathematical analysis and/or simulation. This article presents a simple method of predicting if chaos is possible and under what conditions, using classical control theory tools such as Nyquist's stability theorem and describing functions. The method is demonstrated using several examples.
Chaotic behavior in systems--Mathematical models; Control theory
Computer and Systems Architecture | Computer Engineering | Computer Sciences | Theory and Algorithms
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Online ISSN: 1099-0542; DOI: 10.1002/cae.6180030206
Brogan, W. L.
Classical Control Theory Applied to Potentially Chaotic Systems.
Computer Applications in Engineering Education, 3