A General Approach to Lower Semicontinuity and Lower Closure in Optimal Control Theory
From MaRDI portal
Publication:3343190
DOI10.1137/0322035zbMath0549.49005OpenAlexW1987385435MaRDI QIDQ3343190
Publication date: 1984
Published in: SIAM Journal on Control and Optimization (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1137/0322035
Controllability (93B05) Methods involving semicontinuity and convergence; relaxation (49J45) Geometric measure and integration theory, integral and normal currents in optimization (49Q15) Length, area, volume, other geometric measure theory (28A75) Numerical methods of relaxation type (49M20)
Related Items (78)
On weak convergence implying strong convergence in L1-spaces ⋮ An equilibrium existence result for games with incomplete information and indeterminate outcomes ⋮ A unified approach to several results involving integrals of multifunctions ⋮ Young measures, weak and strong convergence and the Visintin-Balder theorem ⋮ A new approach to variational problems with multiple scales ⋮ A Quantization Property for Moving Line Vortices ⋮ An extension of Prohorov's theorem for transition probabilities with applications to infinite-dimensional lower closure problems ⋮ On compactness results for multi-scale convergence ⋮ On Cournot-Nash equilibrium distributions for games with differential information and discontinuous payoffs ⋮ Bayesian incentive compatible mechanisms ⋮ Elimination of randomization in statistical decision theory reconsidered ⋮ Variational stability of infinite-dimensional optimal control problems ⋮ Stochastic two-scale convergence and Young measures ⋮ A unifying approach to existence of Nash equilibria ⋮ Gradient Young Measures Generated by Quasi-Conformal Maps in the Plane ⋮ Consequences of denseness of Dirac Young measures ⋮ Infinite-dimensional extension of a theorem of Komlós ⋮ A useful approximation scheme for Lagrangians ⋮ Analysis of the optimal relaxed control to an optimal control problem ⋮ Fatou's lemma in infinite dimensions ⋮ On infinite-horizon lower closure results for optimal control ⋮ Lower semicontinuity of multiple integrals and the Biting Lemma ⋮ Quasiconvex functions, \(SO(n)\) and two elastic wells ⋮ Utility maximization with a given pricing measure when the utility is not necessarily concave ⋮ Comments on the existence of equilibrium distributions ⋮ Lower semicontinuity via \(W^{1,q}\)-quasiconvexity ⋮ Remarks on perturbated systems with critical growth ⋮ From visco to perfect plasticity in thermoviscoelastic materials ⋮ Weak Lower Semicontinuity of Integral Functionals and Applications ⋮ Nonsmooth analysis of doubly nonlinear evolution equations ⋮ Absorbing Markov decision processes ⋮ Linearized plasticity is the evolutionary \(\Gamma\)-limit of finite plasticity ⋮ An equilibrium closure result for discontinuous games ⋮ Relaxation and Purification for Nonconvex Variational Problems in Dual Banach Spaces: The Minimization Principle in Saturated Measure Spaces ⋮ A-Quasiconvexity: Relaxation and Homogenization ⋮ A new approach to Young measure theory, relaxation and convergence in energy ⋮ Maximization of entropy for an elastic body free of surface traction ⋮ Existence theory for a new class of variational problems ⋮ Optimal control of differential inclusions with state constraints ⋮ Young Measures as Measurable Functions and Their Applications to Variational Problems ⋮ The bang-bang, purification and convexity principles in infinite dimensions ⋮ Young measures as probability distributions of Loeb spaces ⋮ A note on locking materials and gradient polyconvexity ⋮ Characterizations of Young measures generated by gradients ⋮ Unnamed Item ⋮ Attractors for gradient flows of nonconvex functionals and applications ⋮ On weak convergence implying strong convergence under extremal conditions ⋮ On equivalence of strong and weak convergence in \(L_ 1\)-spaces under extreme point conditions ⋮ Truncation methods applied to problems of weak or strong convergence in \(L^ 1\) ⋮ Unnamed Item ⋮ Young measures supported on invertible matrices ⋮ Young Measures and an Application of Compensated Compactness to One-Dimensional Nonlinear Elastodynamics ⋮ An existence result and evolutionary \(\varGamma \)-convergence for perturbed gradient systems ⋮ Finite Plasticity in $P^\top\!P$. Part II: Quasi-Static Evolution and Linearization ⋮ Coupling Rate-Independent and Rate-Dependent Processes: Existence Results ⋮ A unifying pair of Cournot-Nash equilibrium existence results ⋮ A general denseness result for relaxed control theory ⋮ On uniformly bounded sequences in Orlicz spaces ⋮ Existence and asymptotic analysis of a phase field model for supercooling ⋮ Equi-integrability results for 3D-2D dimension reduction problems ⋮ Characterization of generalized gradient Young measures generated by sequences in \(W^{1,1}\) and BV ⋮ Young measures generated by sequences in Morrey spaces ⋮ Weak and Young Measure Solutions for Hyperbolic Initial Boundary Value Problems of Elastodynamics in the Orlicz--Sobolev Space Setting ⋮ Effective energy integral functionalsfor thin films on curl-free vector fields in the Orlicz–Sobolev space setting ⋮ Young measure approach to characterization of behaviour of integral functionals on weakly convergent sequences by means of their integrands ⋮ Incentive compatible strategies for general Stackelberg games with incomplete information ⋮ Unnamed Item ⋮ Gradient flows of non convex functionals in Hilbert spaces and applications ⋮ Sets of lower semicontinuity and stability of integral functionals ⋮ On existence problems for the optimal control of certain nonlinear integral equations of Urysohn type ⋮ Existence of minimisers of variational problems posed in spaces of mixed smoothness ⋮ On the existence of optimal solutions in a stochastic control model ⋮ Optimization, relaxation and Young measures ⋮ Lower closure for orientor fields by lower semicontinuity of outer integral functionals ⋮ ``Entropic” Solutions to a Thermodynamically Consistent PDE System for Phase Transitions and Damage ⋮ Applications of the method of compactness and decomposition: minimization, convergence of martingales, multivalued Fatou lemma ⋮ EXISTENCE AND UNIQUENESS RESULTS FOR A CLASS OF RATE-INDEPENDENT HYSTERESIS PROBLEMS ⋮ New sequential compactness results for spaces of scalarly integrable functions
This page was built for publication: A General Approach to Lower Semicontinuity and Lower Closure in Optimal Control Theory
