Monotonicity and Gradient Algorithms

  • David H. Owens
Part of the Advances in Industrial Control book series (AIC)


Iterative gradient-based algorithms for ensuring the consistent reduction of error norms from iteration to iteration are described. Gradients are identified with adjoint operators which take a simple form for state space systems. The monotonicity and robustness of the algorithms for MIMO, discrete, state space systems is characterized by frequency domain conditions. The applicability of the results is extended using \(\varepsilon \)-weighted norms.

Copyright information

© Springer-Verlag London 2016

Authors and Affiliations

  1. 1.University of SheffieldSheffieldUK

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