Nonmonotone systems decomposable into monotone systems with negative feedback

  title={Nonmonotone systems decomposable into monotone systems with negative feedback},
  author={G. A. Encisoa and H. L. Smithb and E. D. Sontagc},
  • G. A. Encisoa, H. L. Smithb, E. D. Sontagc
  • Published 2005
Motivated by the work of Angeli and Sontag [Monotone control systems, IEEE Trans. Automat. Control 48 (2003) 1684–1698] and Enciso and Sontag [On the global attractivity of abstract dynamical systems satisfying a small gain hypothesis, with applications to biological delay systems, Discrete Continuous Dynamical Systems, to appear] in control theory, we show that certain finite and infinite dimensional semi-dynamical systems with “negative feedback” can be decomposed into a monotone “open-loop… CONTINUE READING
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