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- W2103291812 abstract "The present research work proposes a new approach to the problem of quantitatively characterizing the long-term dynamic behavior of nonlinear discrete-time processes. The formulation of the problem of interest can be naturally realized through a system of nonlinear functional equations (NFEs), for which a rather general set of conditions for the existence and uniqueness of a locally analytic solution is derived. The solution to the system of NFEs is then proven to represent a locally analytic invariant manifold for the nonlinear discrete-time process of interest. The local analyticity property of the invariant manifold map enables the development of a series solution method for the above system of NFEs, which can be easily implemented using MAPLE. Under a certain set of conditions, it is shown that the invariant manifold attracts all system trajectories, and therefore, the long-term dynamic behavior is determined through the restriction of the discrete-time process dynamics on the invariant manifold." @default.
- W2103291812 created "2016-06-24" @default.
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- W2103291812 date "2004-01-01" @default.
- W2103291812 modified "2023-09-26" @default.
- W2103291812 title "A model-based characterization of the long-term asymptotic behavior of nonlinear discrete-time processes using map invariance" @default.
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- W2103291812 doi "https://doi.org/10.23919/acc.2004.1386829" @default.
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