Nonlinear indicial theory [1,2] asserts that the response of a nonlinear system to an arbitrary input can be constructed by integrating a nonlinear functional which involves the knowledge of the time-dependent input and a kernel response. This kernel response is a characteristic of the system. Once the kernel is known, the response of the system to arbitrary input can always be calculated. The well-known linear equivalent of this kernel is the linear impulse response, which can be convolved with the input to predict the output of a linear system. Nonlinear indicial theory is a generalization of this concept. It can also be shown that the traditional Volterra-Wiener theory of nonlinear systems [3,4] constitutes a subset of nonlinear indicial theory.
 Tobak, M., Chapman, G. T., and Schiff, L. B., "Mathematical Modeling of the Aerodynamic Characteristics in Flight Dynamics," NASA TM 85880, 1984.
 Tobak, M. and Chapman, G. T., "Nonlinear Problems in Flight Dynamics Involving Aerodynamic Bifurcations," NASA TM 86706, 1985.
 Volterra, V., "Theory of Functionals and of Integral and Integro-Differential Equations," Dover Publications, Inc., New York, 1959.
 Wiener, N.: Response of a Non-Linear Device to Noise, Report No. 129, Radiation Laboratory, M.I.T., Cambridge, MA, Apr. 1942.
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