Adaptive partial stabilization, limit dynamics and bifurcation analysis

Gholam Reza Rokni Lamooki

doi:10.4134/JKMS.2012.49.6.1175

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J. Korean Math. Soc. 2012; 49(6): 1175-1196

Printed November 1, 2012

https://doi.org/10.4134/JKMS.2012.49.6.1175

Adaptive partial stabilization, limit dynamics and bifurcation analysis

Gholam Reza Rokni Lamooki

University of Tehran

Abstract

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Abstract

A class of autonomous control systems with fixed unknown parameters is considered to be stabilized with respect to only a part of the variables. A certain type of such systems can be recursively adaptively partially stabilized. The bifurcation analysis reveals the nature of the closed loop system.

Keywords: partial stability, adaptive control, backstepping, bifurcation

MSC numbers: 93D15, 93D20, 93D21