Open textbook explains when controller stability is topologically impossible
burkov · x · 2026-10-22
Wouter Jongeneel and Emmanuel Moulay's 2023 open textbook 'Topological Obstructions to Stability and Stabilization' is now in ChapterPal's collection. It explains when stability requirements are mathematically impossible for a chosen controller class regardless of tuning — for robots and rotating systems, geometry can prevent any single continuous control rule from stabilizing every starting configuration. The practical takeaway: know when to stop tuning and change the design instead.
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