Koditschek, Daniel ENarendra, Kumpati J2023-05-222023-05-221982-08-012008-04-03https://repository.upenn.edu/handle/20.500.14332/33542This paper investigates the stability properties of second-order systems, x. = ƒ(x), where ƒ(x) contains either quadratic terms-system (1)-or linear and quadratic terms-system (2)-in x. The principal contributions are summarized in two theorems which give necessary and sufficient conditions for stability and asymptotic stability in the large of systems (1) and (2), respectively.GRASPKodlabArticle