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math.OC2011
Exterior sphere condition and time optimal control for differential inclusions
Piermarco Cannarsa, Khai T. Nguyen
The minimum time function of smooth control systems is known to be locally semiconcave provided Petrov's controllability condition is satisfied. Moreover, such a regular…
math.OC2011
On the Minimum Time Function Around the Origin
Giovanni Colombo, Khai Tien Nguyen
We deal with finite dimensional linear and nonlinear control systems. If the system is linear and autonomous and satisfies the classical normality assumption, we improve the well k…