article · Optimization · 2022

Structural stability without coercivity

Cited by 1Open 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 extended second variation. 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. Optimization, 71(11), 3327–3350. https://doi.org/10.1080/02331934.2022.2032696

MLA 9

Poggiolini, Laura, and Gianna Stefani. “Structural stability without coercivity.” Optimization, vol. 71, no. 11, 2022, pp. 3327–50, https://doi.org/10.1080/02331934.2022.2032696.

Chicago

Poggiolini, Laura, and Gianna Stefani. 2022. “Structural stability without coercivity.” Optimization 71 (11): 3327–50. https://doi.org/10.1080/02331934.2022.2032696.

Harvard

Poggiolini, L. and Stefani, G. (2022) ‘Structural stability without coercivity’, Optimization, 71(11), pp. 3327–3350. Available at: https://doi.org/10.1080/02331934.2022.2032696.

BibTeX

@article{poggiolini2022structural,
  title = {{Structural stability without coercivity}},
  author = {Poggiolini, Laura and Stefani, Gianna},
  journal = {Optimization},
  volume = {71},
  number = {11},
  pages = {3327--3350},
  year = {2022},
  doi = {10.1080/02331934.2022.2032696}
}

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