Higher Order Approximations of Affinely Controlled Nonlinear Systems

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Abstract

An numerical approach for numerical approximation of trajectories of a smooth affine control system is proposed under suitable assumptions. This approach is based on expansion of solutions of systems of ordinary differential equations (ODE) by Volterra series and allows to estimate the distance between the obtained approximation and the true trajectory. © Springer-Verlag 2004.

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Kirov, N., & Krastanov, M. (2004). Higher Order Approximations of Affinely Controlled Nonlinear Systems. Lecture Notes in Computer Science (Including Subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), 2907, 230–237. https://doi.org/10.1007/978-3-540-24588-9_25

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