Perturbations of extremal problems with constraints and necessary optimality conditions
From MaRDI portal
Publication:803931
DOI10.1007/BF01373649zbMath0726.49015OpenAlexW2074682681MaRDI QIDQ803931
Publication date: 1991
Published in: Journal of Soviet Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf01373649
Sensitivity, stability, well-posedness (49K40) Numerical optimization and variational techniques (65K10) Research exposition (monographs, survey articles) pertaining to operations research and mathematical programming (90-02)
Related Items
Second-order optimality conditions for singular extremals in optimal control problems with equality endpoint constraints, Examples of dual behaviour of Newton-type methods on optimization problems with degenerate constraints, Optimality conditions in abnormal extremal problems, On some extension of optimal control theory, Second-order optimality conditions for mathematical programs with equilibrium constraints, Constant-rank condition and second-order constraint qualification, On constraint qualifications for second-order optimality conditions depending on a single Lagrange multiplier, Normality and second-order optimality conditions in state-constrained optimal control problems with bounded minimizers, On second-order optimality conditions for vector optimization, Unnamed Item, On a few questions regarding the study of state-constrained problems in optimal control, An Optimal Control Problem with a Risk Zone, State constraints in optimal control. The degeneracy phenomenon, Abnormal extremal problems and optimality conditions, Minimax optimal control problem with state constraints, On second-order optimality conditions for nonlinear programming, A relaxed constant positive linear dependence constraint qualification and applications, Investigation of regularity conditions in optimal control problems with geometric mixed constraints, An application of matrix computations to classical second-order optimality conditions, A survey on regularity conditions for state-constrained optimal control problems and the non-degenerate maximum principle, On an optimal control problem with discontinuous integrand, Refined Euler-Lagrange inclusion for an optimal control problem with discontinuous integrand, First- and second-order necessary conditions via exact penalty functions, On second-order optimality conditions in nonlinear optimization, Second-Order Optimality Conditions for Singular Pontryagin Local Minimizers
Cites Work
- Quadratic mappings in geometric control theory
- Linear inequalities and quadratic forms
- The rule of Lagrange multipliers in locally convex spaces
- The conjugate point condition for smooth control sets
- Copositive matrices and definiteness of quadratic forms subject to homogeneous linear inequality constraints
- On a decomposition of conditionally positive-semidefinite matrices
- Second-order necessary conditions for general problems with state inequality constraints
- Theory of functional differential equations. 2nd ed
- On the conjugate point condition for the control problem
- Optimal control problems with retardations and restricted phase coordinates
- Applications of the theory of quadratic forms in Hilbert space to the calculus of variations
- Necessary Conditions for Optimal Control Problems: Conjugate Points
- THE INDEX OF THE SECOND VARIATION OF A CONTROL SYSTEM
- The High Order Maximal Principle and Its Application to Singular Extremals
- A SECOND ORDER OPTIMALITY PRINCIPLE FOR A TIME-OPTIMAL PROBLEM
- Some questions in the optimal control of distributed systems
- Second Order Controllability and Optimization with Ordinary Controls
- The problem of control with bounded phase coordinates
- On the Second Variation in Certain Anormal Problems of the Calculus of Variations
- On the mapping of 𝑛 quadratic forms
- Variational methods for the solution of problems of equilibrium and vibrations
- 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
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item