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STABILITY AND ENERGY EXCHANGE THEORY
Feedback Connection as a OnePort
Feedback Connection with an Interaction Gain
11 other sections not shown
0k+i 7r-sharing approach 7r-sharing coefficients 7r-sharing with respect 7r-stability adaptive algorithms adaptive control adaptive systems ARMAX Auto autoregressive bounded characterization considered constant direction corresponding defined discussed in Section Dissipative system disturbance dynamical system eigenvalues electrical network energy exchange properties energy supply equation error error model subsystem error smoothing error system exists feedback connection feedback systems given gradient gradient descent hyperstability identification IEEE Trans inequality information vector filtering inner product space input-output input/output interconnection intuitive Lagrange Lemma linear time-invariant systems loop transformations Lyapunov function Lyapunov stability matrix mean-square non-linear norm obtain one-ports optimized direction algorithms output error parameter errors parameter estimate update persistent power persistently exciting plant polynomial positive definite prediction error predictor structure provides Recursive Section 3.3 sequence signals solution stability analysis stability properties stability results system inputs Theorem time-varying trajectory vk+i wk+i yk+i