## Abstract

This paper is devoted to the study of perturbed semi-infinite optimization problems, i.e., minimization over R^{n} with an infinite number of inequality constraints. We obtain the second-order expansion of the optimal value funtion and the first-order expansion of approximate optimal solutions in two cases: (i) when the number of binding constraints is finite and (ii) when the inequality constraints are parametrized by a real scalar. These results are partly obtained by specializing the sensitivity theory for perturbed optimization developed in part I (cf. [SIAM J. Control Optim., 34 (1996), pp. 1151-1171]) and deriving cone in the space C(Ω) of continuous real-valued functions.

Original language | English |
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Pages (from-to) | 1555-1567 |

Number of pages | 13 |

Journal | SIAM Journal on Control and Optimization |

Volume | 34 |

Issue number | 5 |

DOIs | |

State | Published - Sep 1996 |

## Keywords

- Approximate solutions
- Directional constraint qualification
- Epilimits
- Marginal function
- Semi-infinite programming
- Sensitivity analysis