Cite

Alekseev, V.M., Tikhomirov, V.M. and Fomin, S.V. (1979) Optimal’noe Upravlenie [Optimal Control]. Nauka, Moscow [in Russian]. Search in Google Scholar

Dmitruk, A. V. and Kaganovich, A. M. (2008) The hybrid maximum principle is a consequence of Pontryagin maximum principle. Systems & Control Letters, 57(11): 964—970. Search in Google Scholar

Dmitruk, A. V. and Kaganovich, A.M. (2011) Maximum principle for optimal control problems with intermediate constraints. Computational Mathematics and Modeling, 22: 180—215. Search in Google Scholar

Dubovitskii, A. Y. and Milyutin, A. A. (1965) Extremum problems in the presence of restrictions. Zh. Vychisl. Mat. Mat. Fiz, 5(3): 395–453. Search in Google Scholar

Gugat, M. and Herty, M. (2011) Existence of classical solutions and feedback stabilization for the flow in gas networks. ESAIM: Control, Optimisation and Calculus of Variations, 17(1): 28—51. Search in Google Scholar

Gugat, M. and Herty, M. (2020) Modeling, control, and numerics of gas networks. In: Handbook of Numerical Analysis, 23, 59-–86. Search in Google Scholar

Gugat, M., Qian, M. and Sokołowski, J. (2023) Topological derivative method for control of wave equation on networks. 27th International Conference on Methods and Models in Automation and Robotics (MMAR), Międzyzdroje, Poland, 2023, 320–325 doi`: 10.1109/MMAR58384.2023.10242484. Search in Google Scholar

Leugering, G., Rodriguez, Ch. and Wang, Y. (2011) Nodal profile control for networks of geometrically exact beams. Journal de Mathématiques Pures et Appliquées, 155: 111—139. Search in Google Scholar

Maurer, H. and Pickenhain, S. (1995) Second-order sufficient conditions for control problems with mixed control-state constraints. Journal of Optimization Theory and Applications, 86: 649—667. Search in Google Scholar

Milyutin, A.A. and Osmolovskii, N. P. (1998) Calculus of Variations and Optimal Control. Translations of Mathematical Monographs, 180. American Mathematical Society, Providence. Search in Google Scholar

Milyutin, A.A., Dmitruk, A.V. and Osmolovskii, N.P. (2004) Maximum Principle in Optimal Control (Princip Maksimuma v Optimal’nom Upravlenii, in Russian). Lomonosov Moscow State University, Faculty of Mathematics and Mechanics, Moscow. Search in Google Scholar

Osmolovskii, N. P. and Maurer, H. (2012) Applications to Regular and Bang-Bang Control: Second-order Necessary and Sufficient Optimality Conditions in Calculus of Variations and Optimal Control. SIAM, Philadelphia. Search in Google Scholar

Pontryagin, L.S., Boltyanskii, Vo. G., Gamkrelidze, R.V. and Mishchenko, E.F. (1961) Mathematical Theory of Optimal Processes [in Russian]. Nauka, Moscow. Search in Google Scholar

Rodriguez, Ch. and Leugering, G. (2020) Boundary feedback stabilization for the intrinsic geometrically exact beam model. SIAM Journal on Control and Optimization, 58(6): 3533—3558. Search in Google Scholar

Sokołowski, J. and Zolésio, J.-P. (1992) Introduction to Shape Optimization. Springer Series in Computational Mathematics. Springer-Verlag, Berlin. Search in Google Scholar