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math.OC2010
Geometry of the Limit Sets of Linear Switched Systems
Moussa Balde, Philippe Jouan
The paper is concerned with asymptotic stability properties of linear switched systems. Under the hypothesis that all the subsystems share a non strict quadratic Lyapunov function,…
math.OC2010
Finite Time and Exact Time Controllability on Compact Manifolds
Philippe Jouan
It is first shown that a smooth controllable system on a compact manifold is finite time controllable. The technique of proof is close to the one of Sussmann's orbit theorem, and n…