dataset · Figshare · 2022

Structural stability without coercivity

Poggiolini, Laura, Stefani, Gianna

Cited by 0Open access

Abstract

We study structural stability and local uniqueness of bang-bang-singular extremals in a fixed-free Mayer problem. The problem can be seen as an optimal control problem where the dynamics is control-affine. We prove our results under the same assumptions on the nominal problem that permit us to prove that the extremal is a strict strong local optimizer: suitable regularity assumptions and coercivity of a restriction of the <i>extended second variation</i>. We also assume that the condition that prevents the coercivity of the extended second variation is stable with respect to the parameter.

Cite this paper

APA 7

Poggiolini, L., & Stefani, G. (2022). Structural stability without coercivity. Figshare. https://doi.org/10.6084/m9.figshare.19217239.v1

MLA 9

Poggiolini, Laura, and Gianna Stefani. “Structural stability without coercivity.” Figshare, 2022, https://doi.org/10.6084/m9.figshare.19217239.v1.

Chicago

Poggiolini, Laura, and Gianna Stefani. 2022. “Structural stability without coercivity.” Figshare. https://doi.org/10.6084/m9.figshare.19217239.v1.

Harvard

Poggiolini, L. and Stefani, G. (2022) ‘Structural stability without coercivity’, Figshare. Available at: https://doi.org/10.6084/m9.figshare.19217239.v1.

BibTeX

@misc{poggiolini2022structural,
  title = {{Structural stability without coercivity}},
  author = {Poggiolini, Laura and Stefani, Gianna},
  journal = {Figshare},
  year = {2022},
  doi = {10.6084/m9.figshare.19217239.v1}
}

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