✦ LIBER ✦

Nonlinear observer design for discrete-time bifurcating systems

✍ Scribed by V. Sundarapandian

Publisher: Elsevier Science
Year: 2002
Tongue: English
Weight: 369 KB
Volume: 36
Category: Article
ISSN: 0895-7177
DOI: 10.1016/s0895-7177(02)00117-6

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✦ Synopsis

This paper is a geometric study of the nonlinear observer design for discrete-time bifurcating systems. First, we obtain necessary and sufficient conditions for local exponential observers for discrete-time nonlinear bifurcating systems under some stability assumptions.

Next, using our characterization of local exponential observers, we derive a construction procedure for exponential observers for the discrete-time bifurcating systems. As applications of our observer design, we consider codimension one bifurcations such as the pitchfork bifurcation, and codimension two bifurcations such as the cusp bifurcation.

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