Robust Nonlinear Control Design — State Space And Lyapunov Techniques Systems Control Foundations Applications

[ \mathbfu(\mathbfx) = \begincases -\fraca(\mathbfx) + \sqrta(\mathbfx)^2 + b(\mathbfx)^T b(\mathbfx) b(\mathbfx) & \textif b(\mathbfx) \neq 0 \ 0 & \textotherwise \endcases ]

A framework for understanding how external inputs (like noise) affect the internal stability of the system. Real-World Applications

is a seminal text in the "Systems & Control: Foundations & Applications" series. Published originally in 1996 by Randy A. Freeman Petar V. Kokotović

In the context of , this theory is inverted. Instead of analyzing a given system, the engineer constructs the control law $u$ specifically to make $\dotV$ negative. This is known as Lyapunov-based control design (often implemented via Control Lyapunov Functions, or CLFs).