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Phase plane characteristics of marginally stable fractional order systems

Nazari, N ; Sharif University of Technology | 2011

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  1. Type of Document: Article
  2. DOI: 10.1007/978-90-481-9884-9_34
  3. Publisher: Springer Netherlands , 2011
  4. Abstract:
  5. When an integer order linear time invariant system possesses unrepeated pure imaginary poles it can generate oscillatory response which is represented by invariant closed contours in the phase plane. In linear time invariant fractional order systems with the same property, due to their special characteristics, this behavior will be more complicated and the contours would not be invariant. In this paper we will investigate the behavior of fractional order systems under such conditions
  6. Keywords:
  7. LTI fractional order system ; Marginal stability ; Oscillation ; Phase plane
  8. Source: Nonlinear Science and Complexity ; 2011 , Pages 293-301 ; 9789048198832 (ISBN)
  9. URL: http://link.springer.com/chapter/10.1007%2F978-90-481-9884-9_34