A sigmoid diffeomorphism lifts safe-set constraints for nonlinear systems into an unbounded domain, yielding an explicit asymptotically stabilizing controller with forward invariance guarantees via special Lyapunov functions.
Some extensions of liapunov’s second method
2 Pith papers cite this work. Polarity classification is still indexing.
2
Pith papers citing it
verdicts
UNVERDICTED 2representative citing papers
Generalizes Olfati-Saber model to nonlinear navigational feedback, proves exponential velocity alignment to center-of-mass velocity and bounded leader distance under mild conditions, shows no periodic orbits in dissipative cases, and computationally optimizes for reduced propulsion energy.
citing papers explorer
-
A Constraint-Lifting Framework for Safe and Stable Nonlinear Control
A sigmoid diffeomorphism lifts safe-set constraints for nonlinear systems into an unbounded domain, yielding an explicit asymptotically stabilizing controller with forward invariance guarantees via special Lyapunov functions.
-
Energy-efficient flocking with nonlinear navigational feedback
Generalizes Olfati-Saber model to nonlinear navigational feedback, proves exponential velocity alignment to center-of-mass velocity and bounded leader distance under mild conditions, shows no periodic orbits in dissipative cases, and computationally optimizes for reduced propulsion energy.