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adaptive loop adaptive optimization adaptive systems amplitude application approximation attenuation and phase band pass filter Catalytic Reaction System closed loop CM CM CM component Conditional Stability configuration Contour Inversion correlator output critical frequency cycling frequency demodulator Digital double frequency effective delay employed equation extremal displacement extremum extremum adaptive feedback FORWARD PATH GAIN frequency response High Pass Filter hunting loss hybrid simulation iteration loop gain LU LU LU o o o o o obtained open loop optimizer adaptation perturbation frequency phase shift PRINT PRINT process dynamics process statics quadratic statics quasi-optimal Quasi-Polynomial Reactor SCFH signal ſº SPAO loop SPAO number square wave step response Table three-constant model tion transfer function transient response two-constant model uniSPAO variable yields zero