
An extension of the backstepping approach is proposed. It allows to globally asymptotically stabilize by bounded feedbacks families of nonlinear control systems. Explicit expressions of control laws and Lyapunov functions are given.
Bounded feedback, Lyapunov function, [SPI.AUTO] Engineering Sciences [physics]/Automatic, Backstepping, [MATH.MATH-DS] Mathematics [math]/Dynamical Systems [math.DS], Stabilization of systems by feedback, [MATH.MATH-OC] Mathematics [math]/Optimization and Control [math.OC], Feedback control
Bounded feedback, Lyapunov function, [SPI.AUTO] Engineering Sciences [physics]/Automatic, Backstepping, [MATH.MATH-DS] Mathematics [math]/Dynamical Systems [math.DS], Stabilization of systems by feedback, [MATH.MATH-OC] Mathematics [math]/Optimization and Control [math.OC], Feedback control
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