Aizerman's conjecture is a significant hypothesis in the field of control theory and linear systems. Proposed by M. Aizerman in the 1950s, the conjecture pertains to the stability of linear systems, particularly regarding the behavior of polynomial functions and their roots. Specifically, Aizerman's conjecture suggests that if a linear continuous-time system is stable for some feedback gain, then it remains stable for all feedback gains greater than that value.
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