Volterra and Fliess Series Expansions for Nonlinear Systems

Volterra and Fliess Series Expansions for Nonlinear Systems
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非线性系统的 Volterra 和 Fliess 系列扩展

DOI:
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发表时间:
2018
期刊:
The Control Systems Handbook
影响因子:
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通讯作者:
F. Lamnabhi
F. Lamnabhi
中科院分区:
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文献类型:
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作者:
F. Lamnabhi

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40.1 Motivation 40-1 Some Simple Examples • Linear Differential Equations 40.2 Functional Expansions for Nonlinear Control Systems 40-3 Volterra Series • Bilinear Systems • Fliess Series • Links between Volterra and Fliess Series 40.3 Effective Computation of Volterra Kernels ....40-9 Noncommutative Pade-Type Approximants 40.4 Approximation Abilities of Volterra Series...40-12 Analysis of Responses of Systems • Optimality • Search for Limit Cycles and Bifurcation Analysis 40.5 Other Approximations: Application to Motion Planning 40-15 References 40-16 Francoise Lamnabhi-Lagarrigue Supelec