IN the investigation of stability problems in physical science it is essential that ‘stability criteria’ be available to ensure that the characteristic equation, which is usually an algebraic polynomial equation, is such that the roots, if real, are negative; and, if complex, have their real parts negative.
Morris, J. and Head, J.W. (1955), "Polynomial Characteristic Equations: Criteria for Quadratic Factors to be Positive", Aircraft Engineering and Aerospace Technology, Vol. 27 No. 12, pp. 419-420. https://doi.org/10.1108/eb032640
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