Optimality Conditions (in Pontryagin Form)
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Publication:4609608
DOI10.1007/978-3-319-60771-9_1zbMath1412.49048OpenAlexW2750789102MaRDI QIDQ4609608
Cédric M. Campos, Michele Palladino, Francisco J. Silva, Andrea Boccia, Luong Van Nguyen, Marco Mazzola, Teresa Scarinci, M.-Soledad Aronna, Daniela Tonon
Publication date: 5 April 2018
Published in: Optimal Control: Novel Directions and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/978-3-319-60771-9_1
Optimality conditions for problems involving partial differential equations (49K20) Existence theories for optimal control problems involving partial differential equations (49J20) PDEs in connection with control and optimization (35Q93)
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Cites Work
- Necessary conditions in dynamic optimization
- Galerkin variational integrators and modified symplectic Runge–Kutta methods
- QUADRATIC CONDITIONS FOR A PONTRYAGIN MINIMUM IN AN OPTIMUM CONTROL PROBLEM LINEAR IN THE CONTROL. I: A DECODING THEOREM
- Optimal Multiprocesses
- Application of abstract variational theory to hereditary systems--A survey
- Second-Order Necessary and Sufficient Optimality Conditions for Optimization Problems and Applications to Control Theory
- Conjugate points and shocks in nonlinear optimal control
- Nonlinear Programming
- A theorem on existence of neighbouring trajectories satisfying a state constraint, with applications to optimal control
- Stability and Stabilization of Time-Delay Systems
- Nonlinear Optimal Control via Occupation Measures and LMI-Relaxations
- Characterization of local quadratic growth for strong minima in the optimal control of semi-linear elliptic equations
- Implicit Functions and Solution Mappings
- Geometric Numerical Integration
- The Hamiltonian Inclusion for Nonconvex Velocity Sets
- The Second Variation for the Singular Bolza Problem
- A Generalized Legendre-Clebsch Condition for the Singular Cases of Optimal Control
- Extremum problems in the presence of restrictions
- Necessary Conditions for Singular Extremals Involving Multiple Control Variables
- High Order Necessary Conditions for Optimality
- Normal control problems have no minimizing strictly original solutions
- A Connection Between the Maximum Principle and Dynamic Programming for Constrained Control Problems
- Variation formulae for the solutions of delay differential equations with discontinuous initial conditions
- Set-valued analysis
- Optimal control and viscosity solutions of Hamilton-Jacobi-Bellman equations
- Optimal control
- Stability of discrete approximations and necessary optimality conditions for delay-differential inclusions
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- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Second order analysis for the optimal control of parabolic equations under control and final state constraints
- High order variational integrators in the optimal control of mechanical systems
- When are minimizing controls also minimizing relaxed controls?
- Second order analysis of control-affine problems with scalar state constraint
- A shooting algorithm for optimal control problems with singular Arcs
- Theory and applications of optimal control problems with multiple time-delays
- Geometric optimal control. Theory, methods and examples
- First and second order necessary conditions for stochastic optimal control problems
- Optimal policy and consumption smoothing effects in the time-to-build AK model
- A computational method for solving time-delay optimal control problems with free terminal time
- Normality and nondegeneracy for optimal control problems with state constraints
- On constraint qualifications for nondegenerate necessary conditions of optimality applied to optimal control problems
- Functional spaces for the theory of elliptic partial differential equations. Transl. from the French by Reinie Erné
- Semiconcave functions, Hamilton-Jacobi equations, and optimal control
- Asymptotic expansions for interior penalty solutions of control constrained linear-quadratic problems
- A control reduced primal interior point method for a class of control constrained optimal control problems
- Relaxed variational problems
- Necessary conditions for minimum in relaxed variational problems
- Representation and control of infinite dimensional systems
- A note on optimality conditions for optimal exit time problems
- Primal-dual interior-point methods for PDE-constrained optimization
- Switching time optimization for bang-bang and singular controls
- Numerical computation of singular control problems with application to optimal heating and cooling by solar energy
- Controllability, extremality, and abnormality in nonsmooth optimal control
- Numerical solution of singular control problems using multiple shooting techniques
- Reduction of delayed optimal control problems to nondelayed problems
- Singular optimal control problems
- Contrôle dans les inéquations variationelles elliptiques
- How to differentiate the projection on a convex set in Hilbert space. Some applications to variational inequalities
- Second-order analysis for control constrained optimal control problems of semilinear elliptic systems
- Second-order necessary optimality conditions for some state-constrained control problems of semilinear elliptic equations
- Impulsive control systems with commutative vector fields
- On a class of nonlinear time optimal control problems
- Runge-Kutta methods in optimal control and the transformed adjoint system
- Rectifiability results for singular and conjugate points of optimal exit time problems
- Second order necessary and sufficient optimality conditions for singular solutions of partially-affine control problems
- Quadratic order conditions for bang-singular extremals
- Semiconcavity for optimal control problems with exit time
- Convexity properties of the minimum time function
- Necessary conditions for functional differential inclusions
- Normal forms of necessary conditions for dynamic optimization problems with pathwise inequality constraints
- Discontinuous solutions of Hamilton-Jacobi-Bellman equation under state constraints
- Filippov's and Filippov-Ważewski's theorems on closed domains
- Local regularity of the minimum time function
- Second order optimality conditions and their role in PDE control
- Necessary optimality conditions for differential-difference inclusions with state constraints
- On relations of the adjoint state to the value function for optimal control problems with state constraints
- From pointwise to local regularity for solutions of Hamilton-Jacobi equations
- Normality of the maximum principle for nonconvex constrained Bolza problems
- Time-lag control systems
- Local regularity of the value function in optimal control
- Second Order Analysis for Strong Solutions in the Optimal Control of Parabolic Equations
- Pointwise Second-Order Necessary Optimality Conditions for the Mayer Problem with Control Constraints
- Second Order Analysis for Optimal Control Problems: Improving Results Expected From Abstract Theory
- Variational Approach to Second-Order Optimality Conditions for Control Problems with Pure State Constraints
- Nonlinear Optimal Control Theory
- Minimizers That Are Not Also Relaxed Minimizers
- Numerical PDE-Constrained Optimization
- Function space interior point methods for PDE constrained optimization
- Discrete mechanics and optimal control: An analysis
- Optimization and Controllability without Differentiability Assumptions
- On Trajectories Satisfying a State Constraint: $W^{1,1}$ Estimates and Counterexamples
- Goddard problem in presence of a dynamic pressure limit
- Functional Analysis, Calculus of Variations and Optimal Control
- Asymptotic Expansion for the Solutions of Control Constrained Semilinear Elliptic Problems with Interior Penalties
- The Numerical Integration of Two-Point Boundary Value Problems
- Multiple shooting method for two-point boundary value problems
- Optimization of Elliptic Systems
- Discrete mechanics and variational integrators
- Second-Order Sensitivity Relations and Regularity of the Value Function for Mayer's Problem in Optimal Control
- Lagrange Multiplier Approach to Variational Problems and Applications
- Optimization with PDE Constraints
- Recent advances in the analysis of pointwise state-constrained elliptic optimal control problems
- Survey of Numerical Methods for Trajectory Optimization
- Optimal Control with State-Space Constraint I
- Necessary conditions, controllability and the value function for differential-difference inclusions
- CONDITIONS OF HIGH ORDER FOR A LOCAL MINIMUM IN PROBLEMS WITH CONSTRAINTS
- The Infinite Time Quadratic Control Problem for Linear Systems with State and Control Delays: An Evolution Equation Approach
- The Sensitivity of Optimal Control Problems to Time Delay
- Elliptic Partial Differential Equations of Second Order
- Euler-Lagrange and Hamiltonian formalisms in dynamic optimization
- Second Order Sufficient Optimality Conditions for Some State-constrained Control Problems of Semilinear Elliptic Equations
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