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Feedback Stabilization of Quasi-Integrable Hamiltonian Systems

[+] Author and Article Information
W. Q. Zhu

Z. L. Huang

Department of Mechanics, Zhejiang University, Hangzhou 310027, P. R. China

J. Appl. Mech 70(1), 129-136 (Jan 23, 2003) (8 pages) doi:10.1115/1.1483833 History: Received July 12, 2000; Revised January 15, 2002; Online January 23, 2003
Copyright © 2003 by ASME
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Figures

Grahic Jump Location
The largest Lyapunov exponents λmax and λ̄max of uncontrolled and optimally controlled system (32) versus intensity D1=D2=D of stochastic excitations. ω=1.0, γ=1.0, δ=3, β1122=0.01,β1221=0.0,c11=c22=1.0,c12=c21=2.0,f1=f2=0.0005,R1=R2=1.0.
Grahic Jump Location
The largest Lyapunov exponents λmax and λ̄max of uncontrolled and optimally controlled system (32) versus intensity δ of nonlinearity. ω=1.0, γ=1.0, β1122=0.01,β1221=0.0,c11=c22=1.0,c12=c21=2.0,f1=f2=0.0005,R1=R2=1.0,D1=D2=0.01.
Grahic Jump Location
The largest Lyapunov exponent λ̄max of optimally controlled system (32) versus f1=f2=f. ω=1.0, γ=1.0, δ=3, β1122=0.01,β1221=0.0,c11=c22=1.0,c12=c21=2.0,R1=R2=1.0,D1=D2=0.01.
Grahic Jump Location
The largest Lyapunov exponent λ̄max of optimally controlled system (32) versus R1=R2=R. ω=1.0, γ=1.0, δ=3, β1122=0.01,β1221=0.0,c11=c22=1.0,c12=c21=2.0,f1=f2=0.0005,D1=D2=0.01.

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