Introduction
In this chapter the iteration approach to nonlinear systems under study is explained in detail. This technique is based on the replacement of the original nonlinear system by a sequence of linear time-varying systems, whose solutions will converge to the solution of the nonlinear problem. The only condition required for its application is a mild Lipschitz condition which must be satisfied by a matrix associated with the nonlinear system.
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Tomás-Rodríguez, M., Banks, S.P. (2010). Linear Approximations to Nonlinear Dynamical Systems. In: Linear, Time-varying Approximations to Nonlinear Dynamical Systems. Lecture Notes in Control and Information Sciences, vol 411. Springer, London. https://doi.org/10.1007/978-1-84996-101-1_2
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DOI: https://doi.org/10.1007/978-1-84996-101-1_2
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