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S.P. Banks and K.J. Mhana (1992) claim that a certain condition is suucient to ensure global asymptotic stability for a broad class of nonlinear systems. We demonstrate , via a counterexample , that satisfaction of this condition does not imply global asymptotic stability. A recent paper by S.P. Banks and K.J. Mhana (1992) claims that, if a certain(More)
The performance of a prototype standing wave thermoacoustic cooler is optimized using an extremum seeking control algorithm. A tunable Helmholtz resonator was developed for a thermoacoustic cooler to change the boundary condition of the standing wave tube. The volume of the resonator is adjusted by changing the location of a piston on a ball-screw assembly(More)
1 Abstract In this paper, we use the theory of L2 disturbance attenuation for linear (H1) and nonlinear systems to obtain solutions to the Nonlinear Benchmark Problem (NLBP) proposed in the paper by Bupp et. al. 1. By considering a series expansion solution to the Hamilton-Jacobi-Isaacs Equation associated with the nonlinear disturbance attenuation problem,(More)
Objectives The objective of the Master of Science (MS) degree in materials science and engineering is to provide intensive preparation for the professional practice in modern materials science by those engineers and scientists who wish to continue their education. Courses are offered at times and locations convenient for the student who is employed on a(More)
SUMMARY In this paper, we use the theory of L disturbance attenuation for linear (H) and nonlinear systems to obtain solutions to the nonlinear benchmark problem (NLBP) proposed in the paper by Bupp et al. By considering a series expansion solution to the Hamilton—Jacobi—Isaacs equation associated with the nonlinear disturbance attenuation problem, we(More)