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AUTOMATICA
2002

Series expansions for analytic systems linear in control

8 years 3 months ago
Series expansions for analytic systems linear in control
This paper presents a series expansion for the evolution of a class of nonlinear systems characterized by constant input vector fields. We present a series expansion that can be computed via explicit recursive expressions, and we derive sufficient conditions for uniform convergence over the finite and infinite time horizon. Furthermore, we present a simplified series and convergence analysis for the setting of second order polynomial vector fields. The treatment only relies on elementary notions on analytic functions, number theory, and operator norms. Key words: nonlinear systems, perturbation theory, Volterra series
Francesco Bullo
Added 16 Dec 2010
Updated 16 Dec 2010
Type Journal
Year 2002
Where AUTOMATICA
Authors Francesco Bullo
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