State-Constrained Control-Affine Parabolic Problems I: First and Second Order Necessary Optimality Conditions

Author:

Aronna M. SoledadORCID,Bonnans J. Frédéric,Kröner Axel

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Geometry and Topology,Numerical Analysis,Statistics and Probability,Analysis

Reference30 articles.

1. Aronna, M.S., Bonnans, J.F., Kröner, A: State-constrained control-affine parabolic problems II: Second-order sufficient optimality conditions. 1909.05056 (2019)

2. Goh, B.S.: Necessary conditions for singular extremals involving multiple control variables. SIAM J. Control 4, 716–731 (1966)

3. Kelley, H.J.: A second variation test for singular extremals. AIAA J. 2, 1380–1382 (1964)

4. Dmitruk, A.V.: Quadratic conditions for a weak minimum for singular regimes in optimal control problems. Soviet Math. Doklady 18(2), 418–422 (1977)

5. Aronna, M.S., Bonnans, J.F., Dmitruk, A.V., Lotito, P.A.: Quadratic order conditions for bang-singular extremals. Numerical Algebra, Control and Optimization, AIMS Journal 2(3), 511–546 (2012). https://doi.org/10.3934/naco.2012.2.511

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