Nonlinear observer design for discrete-time bifurcating systems
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. (C) 2002 Elsevier Science Ltd. All rights reserved.
nonlinear observers bifurcations exponential observers discrete-time systems