On the Application of the Wa\.zewski Method to the Problem of Global Stabilization

Autor:	Polekhin, Ivan
Rok vydání:	2019
Předmět:	Mathematics - Optimization and Control
Druh dokumentu:	Working Paper
Popis:	We consider a possible application of the Wa\.zewski topological method to feedback control systems and to more general dynamical systems. We show how this method can be used to prove the impossibility of global stabilization in such problems. Moreover, we give sufficient conditions for the existence of a solution such that its trajectory never leaves a subset of the extended phase space of the system and does not tend asymptotically to a given equilibrium. We illustrate our result with various real-life systems including the Furuta pendulum and the wheeled inverted pendulum.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1912.04027 Zobrazit plný text záznamu View this record from Arxiv