Laboratory for Control, Learning, and Systems Biology

cooperative systems

2019
  1. ▪M. Margaliot, E.D. Sontag, "Revisiting totally positive differential systems: A tutorial and new results", Automatica, vol. 101, pp. 1-14, 2019. pdf
    tridiagonal systems · cooperative systems · monotone systems
    Abstract

    A matrix is totally nonnegative (resp., totally positive) if all its minors are nonnegative (resp., positive). This paper draws connections between B. Schwarz's 1970 work on TN and TP matrices to Smillie's 1984 and Smith's 1991 work on stability of nonlinear tridiagonal cooperative systems, simplifying proofs in the later paper and suggesting new research questions.

2018
  1. ▪M. Margaliot, E.D. Sontag, "Analysis of nonlinear tridiagonal cooperative systems using totally positive linear differential systems", In Proc. 2018 IEEE Conf. Decision and Control, pp. 3104-3109, 2018. pdf
    tridiagonal systems · cooperative systems · monotone systems
    Abstract

    This is a conference version of "Revisiting totally positive differential systems: A tutorial and new results".