Functional Series Expansions for Continuous-Time Switched Systems

Springer Science and Business Media LLC - Tập 21 - Trang 211-237 - 2014
Luis A. Duffaut Espinosa1, W. Steven Gray2,3
1Department of Electrical and Computer Engineering, George Mason University, Fairfax, USA
2Instituto de Ciencias Matemáticas, Consejo Superior de Investigaciones Científicas, Madrid, Spain
3Department of Electrical and Computer Engineering, Old Dominion University, Norfolk, USA

Tóm tắt

The main objective of this paper is to describe a class of functional series expansions, known as Fliess operators, which admit inputs from a ball in an L p space as well as Poisson random processes. Conditions are given under which these functional series expansions converge absolutely in the mean. Then, it is shown that a continuous-time switched input-affine nonlinear system with a Poisson switching signal can be represented as a Fliess operator and that for certain cases a closed form solution can be obtained in terms of Poisson integrals.

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