LIST OF SYMBOLS Coefficients of the quartic Coefficients of the equations of motion Cornering stiffness of front and rear tires, respectively Constant gains of driver associated with lateral displacement and yaw angle, respectively Expressions in quartic solution Forces on front tire in the longitudinal and normal directions, respectively Forces on rear tire in the longitudinal and normal directions, respectively Acceleration of gravity Moment of inertia of the automobile about a vertical axis through the mass center Uhdersteer coefficient Expressions in the equation for the critical velocity of the driver/vehicle system Lengths from the mass center to the front and rear axles, respectively Mass of the vehicle Matrices in the Lyapunov matrix equation Expression in quartic solution Time Unit vectors in the x and y directions, respectively VcRiT Critical speed from classical result VcRiT Critical speed of the driver/vehicle system D/V-tl*-t2 Velocity of the front and rear tires, respectively V^, Vy Speeds in the x and y directions, respectively V Trial Lyapunov function X, y Coordinate directions fixed in the vehicle X, Y Absolute coordinate directions Slip angles of front and rear tires, respectively 6 Steer angle of front wheels