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math.OC2015
Convergence Rate of Nonlinear Switched Systems
Philippe Jouan, Saïd Naciri
This paper is concerned with the convergence rate of the solutions of nonlinear switched systems. We first consider a switched system which is asymptotically stable for a class of…
math.OC2015
Controllability of Linear Systems on Generalized Heisenberg Groups
Mouhamadou Dath, Philippe Jouan
This paper is devoted to the study of controllability of linear systems on generalized Heisenberg groups. Some general necessary controllability conditions and some sufficient ones…
math.DG2015
Almost-Riemannian Geometry on Lie Groups
Victor Ayala, Philippe Jouan
A simple Almost-Riemmanian Structure on a Lie group G is defined by a linear vector field and dim(G)-1 left-invariant ones. We state results about the singular locus, the abnormal…