A method for the determination of the domain of asymptotic stability of second-order nonlinear systems is presented. The essence of the method is the construction of Liapunov-like functions. Several simple but important examples illustrate the application of the method.
A Method for the Determination of the Domain of Stability of Second-Order Nonlinear Autonomous Systems
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Infante, E. F., and Clark, L. G. (June 1, 1964). "A Method for the Determination of the Domain of Stability of Second-Order Nonlinear Autonomous Systems." ASME. J. Appl. Mech. June 1964; 31(2): 315–320. https://doi.org/10.1115/1.3629603
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