A General Approach to Lower Semicontinuity and Lower Closure in Optimal Control Theory

Erik J. Balder

Type: Article

Publication Date: 1984-07-01

Citations: 169

DOI: https://doi.org/10.1137/0322035

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Locations

SIAM Journal on Control and Optimization - View

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Works That Cite This (131)

Action	Title	Year	Authors
+ PDF Chat	Infinite-dimensional extension of a theorem of Komlós	1989	Erik J. Balder
+	On a class of obstacle problem via Young measure in generalized Sobolev space	2024	Mouad Allalou Mohamed El Ouaarabi Hasnae El Hammar Abderrahmane Raji
+ PDF Chat	A unified approach to several results involving integrals of multifunctions	1994	Erik J. Balder
+	Fatou's Lemma for Multifunctions with Unbounded Values in a Dual Space	2005	Erik J. Balder Anna Rita Sambucını
+	A note on locking materials and gradient polyconvexity	2017	Barbora Benešová Martin Kružík Anja Schlömerkemper
+	On Some Necessary Conditions of Optimality for a Nonlocal Variational Principle	2000	Julio Muñoz
+	A Note on Strong Convergence for Pettis Integrable Functions	2003	Erik J. Balder Anna Rita Sambucını
+	Variational stability of infinite-dimensional optimal control problems	1991	Evgenios Avgerinos Νικόλαος Παπαγεωργίου
+	Lower semicontinuity and Young measures in BV without Alberti's Rank-One Theorem	2010	Filip Rindler
+	Komlós type convergence for random variables and random sets with applications to minimization problems	2007	C. Castaing M. Saadoune

Works Cited by This (35)

Action	Title	Year	Authors
+ PDF Chat	Convex Analysis and Measurable Multifunctions	1977	Charles Castaing Michel Valadier
+	Integral functionals, normal integrands and measurable selections	1976	R. T. Rockafellar
+	Relaxed Controls and Variational Problems	1967	E. J. McShane
+	On Lower Semicontinuity of Integral Functionals. II	1977	A. D. Ioffe
+	A note on fatou's lemma in several dimensions	1979	Zvi Artstein
+	Remarks on lower semicontinuity and lower closure	1976	M. B. Suryanarayana
+	On a variational problem	1974	Zvi Artstein
+	Existence results without convexity conditions for general problems of optimal control with singular components	1984	Erik J. Balder
+	On a useful compactification for optimal control problems	1979	Erik J. Balder
+	On existence problems for the optimal control of certain nonlinear integral equations of Urysohn type	1984	Erik J. Balder