Integral manifolds of slow adaptation

作者: B. Riedle , P. Kokotovic

DOI: 10.1109/TAC.1986.1104263

关键词:

摘要: Conditions are given under which an integral manifold ("slow manifold") exists for a nonlinear system representing broad class of adaptive algorithms. The parameter update equation restricted to the is exact description slow adaptation process can be approximately analyzed by averaging. Stability properties motion in extended off set conditions shown attractive. This two-time-scale analysis provides geometrical visualization instability phenomena observed systems and generalizes earlier local stability results.

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