Alex Honnold Wasn’t The First To Climb The Taipei 101

Alex Honnold was already famous for amazing climbs, like scaling El Capitan in Yosemite without ropes. That Yosemite climb was even the subject of an Academy Award-winning documentary, Free Solo. Though Yosemite was an incredible accomplishment, his recent live climb of Taipei 101 became a worldwide spectacle and took his challenges to a new level.
![Trajectories flirting with chaos can be subtly steered towards safety by a carefully tuned control function [latex]U_{\in fty}(x)[/latex], which defines an admissible set [latex]S(u)[/latex] within which even initially unstable paths-previously escaping a defined region [latex]Q=[0,1][/latex]-remain confined through minimal control interventions, as demonstrated by a bounded control signal [latex]u_n[/latex].](https://arxiv.org/html/2601.21510v1/x3.png)





