Viability theory proposes geometric metaphors in addition to classical ordinary differential equation analysis. This theory is applied on a vehicle cornering. The issue is to determine if a state of the system is compatible with a soft controls strategy which leads the car to the end of the corner. The viability theory offers tools which enable to answer to this question without computing in real time these controls. The issue resumes to verify that this state belongs to a set called the viability kernel. The construction and the use of the viability kernel for a vehicle system dynamic is proposed by using Support Vector Machines algorithm. The applicability of this theory is demonstrated through experimental tests. It is the first time that the viability theory is applied to vehicle dynamics with road safety concerns.
