Mathematical control theory: deterministic finite dimensional systems (2nd ed.)
Mathematical control theory: deterministic finite dimensional systems (2nd ed.)
Semiconcave Control-Lyapunov Functions and Stabilizing Feedbacks
SIAM Journal on Control and Optimization
Existence of Lipschitz and Semiconcave Control-Lyapunov Functions
SIAM Journal on Control and Optimization
Flow Stability of Patchy Vector Fields and Robust Feedback Stabilization
SIAM Journal on Control and Optimization
Weak Converse Lyapunov Theorems and Control-Lyapunov Functions
SIAM Journal on Control and Optimization
Global Asymptotic Controllability Implies Input-to-State Stabilization
SIAM Journal on Control and Optimization
Brief paper: Vision-based control for rigid body stabilization
Automatica (Journal of IFAC)
Hi-index | 0.00 |
We show that any globally asymptotically controllable system on any smooth manifold can be globally stabilized by a state feedback. Since we allow discontinuous feedbacks, we interpret the solutions of our systems in the "sample and hold" sense introduced by Clarke, Ledyaev, Sontag, and Subbotin (CLSS). We generalize their theorem which is the special case of our result for systems on Euclidean space. We apply our result to the input-to-state stabilization of systems on manifolds with respect to actuator errors, under small observation noise.