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Publications of Eduardo D. Sontag jointly with R.T. Bumby
Articles in journal or book chapters
R.T. Bumby and E.D. Sontag.
Stabilization of polynomially parametrized families of linear systems. The single-input case.
Systems Control Lett.,
Keyword(s): systems over rings.
Given a continuous-time family of finite dimensional single input linear systems, parametrized polynomially, such that each of the systems in the family is controllable, there exists a polynomially parametrized control law making each of the systems in the family stable.
and W. Vasconcelos.
Remarks on the pole-shifting problem over rings.
J. Pure Appl. Algebra,
Keyword(s): systems over rings,
systems over rings.
Problems that appear in trying to extend linear control results to systems over rings R have attracted considerable attention lately. This interest has been due mainly to applications-oriented motivations (in particular, dealing with delay-differential equations), and partly to a purely algebraic interest. Given a square n-matrix F and an n-row matrix G. pole-shifting problems consist in obtaining more or less arbitrary characteristic polynomials for F+GK, for suitable ("feedback") matrices K. A review of known facts is given, various partial results are proved, and the case n=2 is studied in some detail.
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