Engineering
8 years ago

Revolutionary Method Constructs Control Functions for Nonlinear Systems with Ease

Construction of Control Lyapunov Functions for a Class of Nonlinear Systems
Cai Xiu

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The article discusses how to create control Lyapunov functions for certain types of nonlinear systems. The researchers developed a method to systematically construct a control Lyapunov function for the linearizable part using a Lyapunov equation. They also established a control Lyapunov function for the entire nonlinear system by combining the linearizable part's control Lyapunov function with a Lyapunov function for the zero dynamics.