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Linear feedback stabilization of nonlinear systems with an uncontrollable critical mode

✍ Scribed by Jyun-Horng Fu; Eyad H. Abed

Publisher
Elsevier Science
Year
1993
Tongue
English
Weight
1010 KB
Volume
29
Category
Article
ISSN
0005-1098

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✦ Synopsis

Stabilization of an equilibrium point of a nonlinear system by linear feedback is studied in two critical cases, corresponding to the presence of either a zero eigenvalue or a pair of pure imaginary eigenvalues for the linearized system. In each case, the critical eigenvalues are assumed uncontrollable, and stabilization is studied using bifurcation-theoretic calculations.

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