Invariance of the Approximately Reachable Set under Nonlinear Perturbations | Zendy

Koichiro Naito | Zendy; Thomas I. Seidman | Zendy

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Invariance of the Approximately Reachable Set under Nonlinear Perturbations

Author(s) -

Koichiro Naito,

Thomas I. Seidman

Publication year - 1991

Publication title -

siam journal on control and optimization

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.486

H-Index - 116

eISSN - 1095-7138

pISSN - 0363-0129

DOI - 10.1137/0329040

Subject(s) - mathematics , nonlinear system , affine transformation , perturbation (astronomy) , context (archaeology) , partial differential equation , hyperbolic partial differential equation , mathematical analysis , set (abstract data type) , differential equation , pure mathematics , paleontology , physics , quantum mechanics , computer science , biology , programming language

This paper considers nonlinear perturbations of control systems with linear dynamics and seeks to analyze whether the approximately reachable set may be left unchanged by this perturbation. Under suitable conditions it is shown that this analysis may be reduced to the presumably simpler analysis of such invariance for a family of ane perturbations. Interest centers on the context of infinite-dimensional state spaces so the system may, for example, correspond to a hyperbolic or parabolic partial dier- ential equation.

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