On the public citation graph

Optimality, stability, and convergence in nonlinear control

0 signed · 130 inferred · view as graph

Inferred edges come from two machine sources: sweeps of open repository metadata (mostly SSRN and Zenodo), and a bulk OpenAlex citation snapshot. Every row below is labelled with the one it came from. Neither is a complete citation index — absence here is not evidence of absence.

Is this your work? Sign in with ORCID and put your name on the claims that are yours.
Claim with ORCID
Reference health. See whether every reference in this work resolves to a known work and none has been retracted — and get a dated CiteStamped badge you can embed.
See reference health

What this work says

Outgoing claims: the papers this work cites, builds on, or argues with.

inferredcites →https://doi.org/10.1007/bf00939686openalex-snapshot
Another Jacobi sufficiency criterion for optimal control with smooth constraints
inferredcites →https://doi.org/10.1007/bf01184156openalex-snapshot
Second-order conditions and constraint qualifications in stability and sensitivity analysis of solutions to optimization problems in Hilbert spaces
inferredcites →https://doi.org/10.1007/bf01195982openalex-snapshot
Sufficient conditions for variational problems with variable endpoints: Coupled points
inferredcites →https://doi.org/10.1007/bf01442179openalex-snapshot
First and second order sufficient conditions for optimal control and the calculus of variations
inferredcites →https://doi.org/10.1007/bf01445157openalex-snapshot
Stability of solutions to control constrained nonlinear optimal control problems
inferredcites →https://doi.org/10.1007/bf01582096openalex-snapshot
First and second-order necessary and sufficient optimality conditions for infinite-dimensional programming problems
inferredcites →https://doi.org/10.1007/bfb0006504openalex-snapshot
Second-order necessary and sufficient optimality conditions for infinite-dimensional programming problems
inferredcites →https://doi.org/10.1007/bfb0120927openalex-snapshot
First and second order sufficient optimality conditions in mathematical programming and optimal control
inferredcites →https://doi.org/10.1016/0022-0396(92)90133-8openalex-snapshot
Sensitivity analysis of solutions to optimization problems in Hilbert spaces with applications to optimal control and estimation
inferredcites →https://doi.org/10.1016/s0076-5392(08)x6067-9openalex-snapshot
Riccati Differential Equations
inferredcites →https://doi.org/10.1080/01630568908816346openalex-snapshot
Stability of solutions for a class of nonlinear cone constrained optimization problems, part 1: Basic theory
inferredcites →https://doi.org/10.1115/1.3426914openalex-snapshot
Riccati Differential Equations
inferredcites →https://doi.org/10.1137/0322020openalex-snapshot
Extended Jacobi Sufficiency Criterion for Optimal Control
inferredcites →https://doi.org/10.1137/0322027openalex-snapshot
Dual Approximations in Optimal Control
inferredcites →https://doi.org/10.1137/0330072openalex-snapshot
Variants of the Kuhn–Tucker Sufficient Conditions in Cones of Nonnegative Functions
inferredcites →https://doi.org/10.1137/0331026openalex-snapshot
Lipschitzian Stability in Nonlinear Control and Optimization
inferredcites →https://doi.org/10.1137/0713043openalex-snapshot
Stability Theory for Systems of Inequalities, Part II: Differentiable Nonlinear Systems
inferredcites →https://doi.org/10.1137/0722002openalex-snapshot
Approximations to the Multiplier Method
inferredcites →https://doi.org/10.1137/0727063openalex-snapshot
Multiplier Methods for Nonlinear Optimal Control
inferredcites →https://doi.org/10.1287/moor.19.3.753openalex-snapshot
Implicit Functions, Lipschitz Maps, and Stability in Optimization
inferredcites →https://doi.org/10.1287/moor.5.1.43openalex-snapshot
Strongly Regular Generalized Equations
inferredcites →https://doi.org/10.1515/9783110883237.2557openalex-snapshot
Two norm approach in stability analysis of optimization and optimal control problems
inferredcites →https://doi.org/10.21136/cmj.1975.101337openalex-snapshot
Multifunctions with convex closed graph
inferredcites →https://doi.org/10.2307/2348852openalex-snapshot
Real and Complex Analysis.

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

inferred← citeshttps://doi.org/10.1002/j.2050-0416.2007.tb00292.xopenalex-snapshot
Optimal Beer Fermentation
inferred← citeshttps://doi.org/10.1002/oca.2253openalex-snapshot
Combined homotopy and neighboring extremal optimal control
inferred← citeshttps://doi.org/10.1002/zamm.200800036openalex-snapshot
Convergence analysis of the SQP method for nonlinear mixed‐constrained elliptic optimal control problems
inferred← citeshttps://doi.org/10.1007/978-0-387-34897-1_50openalex-snapshot
Convergence of Lagrange-Newton method for control-state and pure state constrained optimal control problems
inferred← citeshttps://doi.org/10.1007/978-1-4613-3632-7_6openalex-snapshot
Gradient-Related Constrained Minimization Algorithms in Function Spaces: Convergence Properties and Computational Implications
inferred← citeshttps://doi.org/10.1007/978-1-4615-5197-3_13openalex-snapshot
Stabilized Sequential Quadratic Programming
inferred← citeshttps://doi.org/10.1007/978-1-4615-5223-9_17openalex-snapshot
Runge-Kutta Discretizations of Optimal Control Problems
inferred← citeshttps://doi.org/10.1007/978-1-4757-6095-8_8openalex-snapshot
On a SQP-Multigrid Technique for Nonlinear Parabolic Boundary Control Problems
inferred← citeshttps://doi.org/10.1007/978-3-030-01959-4_4openalex-snapshot
POD-Based Economic Optimal Control of Heat-Convection Phenomena
inferred← citeshttps://doi.org/10.1007/978-3-0348-8148-7_7openalex-snapshot
Numerical Analysis in Optimal Control
inferred← citeshttps://doi.org/10.1007/978-3-0348-8233-0_14openalex-snapshot
Sufficient Optimality for Discretized Parabolic and Elliptic Control Problems
inferred← citeshttps://doi.org/10.1007/978-3-0348-8691-8_8openalex-snapshot
Second Order Optimality Conditions for Some Control Problems of Semilinear Elliptic Equations with Integral State Constraints
inferred← citeshttps://doi.org/10.1007/978-3-0348-8802-8_19openalex-snapshot
Sensitivity Analysis and Real-Time Control of Nonlinear Optimal Control Systems via Nonlinear Programming Methods
inferred← citeshttps://doi.org/10.1007/978-3-0348-8802-8_5openalex-snapshot
A Discretization for Control Problems with Optimality Test
inferred← citeshttps://doi.org/10.1007/978-3-319-05083-6_19openalex-snapshot
Model Order Reduction for PDE Constrained Optimization
inferred← citeshttps://doi.org/10.1007/978-3-319-22997-3_18openalex-snapshot
Numerical Analysis of Optimality-System POD for Constrained Optimal Control
inferred← citeshttps://doi.org/10.1007/978-3-642-12535-5_4openalex-snapshot
On Finite Element Error Estimates for Optimal Control Problems with Elliptic PDEs
inferred← citeshttps://doi.org/10.1007/978-3-642-57684-3_2openalex-snapshot
Computational Sensitivity Analysis of State Constrained Control Problems
inferred← citeshttps://doi.org/10.1007/978-3-642-58891-4_26openalex-snapshot
A Survey on Second Order Optimality Conditions for the Optimal Control of Partial Differential Equations
inferred← citeshttps://doi.org/10.1007/978-3-662-04331-8_2openalex-snapshot
Sensitivity Analysis and Real-Time Control of Parametric Optimal Control Problems Using Boundary Value Methods
inferred← citeshttps://doi.org/10.1007/978-3-662-43793-3_1openalex-snapshot
Introduction
inferred← citeshttps://doi.org/10.1007/978-3-7643-7721-2_10openalex-snapshot
An SQP Active Set Method for a Semilinear Optimal Control Problem with Nonlocal Radiation Interface Conditions
inferred← citeshttps://doi.org/10.1007/978-3-7643-8923-9_17openalex-snapshot
How to Check Numerically the Sufficient Optimality Conditions for Infinite-dimensional Optimization Problems
inferred← citeshttps://doi.org/10.1007/bf00248267openalex-snapshot
Sensitivity analysis for parametric control problems with control-state constraints
inferred← citeshttps://doi.org/10.1007/bf01300872openalex-snapshot
The Lagrange-Newton method for state constrained optimal control problems
inferred← citeshttps://doi.org/10.1007/bf02192081openalex-snapshot
Solution differentiability for parametric nonlinear control problems with control-state constraints
inferred← citeshttps://doi.org/10.1007/bfb0035462openalex-snapshot
Stability and sensitivity analysis of solutions to infinite-dimensional optimization problems
inferred← citeshttps://doi.org/10.1007/bfb0035492openalex-snapshot
Solution differentiability for parametric nonlinear control problems with inequality constraints
inferred← citeshttps://doi.org/10.1007/s002110000178openalex-snapshot
Runge-Kutta methods in optimal control and the transformed adjoint system
inferred← citeshttps://doi.org/10.1007/s10589-009-9291-0openalex-snapshot
Direct trajectory optimization and costate estimation of finite-horizon and infinite-horizon optimal control problems using a Radau pseudospectral method
inferred← citeshttps://doi.org/10.1007/s10589-014-9636-1openalex-snapshot
POD a-posteriori error analysis for optimal control problems with mixed control-state constraints
inferred← citeshttps://doi.org/10.1007/s10589-019-00100-1openalex-snapshot
Convergence rate for a Radau hp collocation method applied to constrained optimal control
inferred← citeshttps://doi.org/10.1007/s10589-023-00484-1openalex-snapshot
Error estimates for Runge–Kutta schemes of optimal control problems with index 1 DAEs
inferred← citeshttps://doi.org/10.1007/s10589-023-00530-yopenalex-snapshot
Extension of switch point algorithm to boundary-value problems
inferred← citeshttps://doi.org/10.1007/s11081-008-9038-2openalex-snapshot
Adjoint estimation using direct transcription multipliers: compressed trapezoidal method
inferred← citeshttps://doi.org/10.1007/s11228-018-0471-xopenalex-snapshot
Convergence Analysis of the Implicit Euler-discretization and Sufficient Conditions for Optimal Control Problems Subject to Index-one Differential-algebraic Equations
inferred← citeshttps://doi.org/10.1016/j.apnum.2022.07.015openalex-snapshot
Discrete LQR and ILQR methods based on high order Runge-Kutta discretizations
inferred← citeshttps://doi.org/10.1016/j.ejor.2004.10.030openalex-snapshot
Control and optimal response problems for quasilinear impulsive integrodifferential equations
inferred← citeshttps://doi.org/10.1016/j.jmaa.2021.125077openalex-snapshot
On the strong subregularity of the optimality mapping in mathematical programming and calculus of variations
inferred← citeshttps://doi.org/10.1016/s1474-6670(17)44491-0openalex-snapshot
Real-Time Control of an Industrial Robot using Nonlinear Programming Methods
inferred← citeshttps://doi.org/10.1023/a:1008640419184openalex-snapshot
Stabilized Sequential Quadratic Programming
inferred← citeshttps://doi.org/10.1023/a:1010950203548openalex-snapshot
On Smoothness Properties and Approximability of Optimal Control Functions
inferred← citeshttps://doi.org/10.1023/a:1010956104457openalex-snapshot
Sensitivity Analysis for Optimal Control Problems Subject to Higher Order State Constraints
inferred← citeshttps://doi.org/10.1023/a:1011275507262openalex-snapshot
Verification of Second-Order Sufficient Optimality Conditions for Semilinear Elliptic and Parabolic Control Problems
inferred← citeshttps://doi.org/10.1023/a:1017531530509openalex-snapshot
Weak and Strong Optimality Conditions for Constrained Control Problems with Discontinuous Control
inferred← citeshttps://doi.org/10.1023/a:1018942732605openalex-snapshot
Sufficient conditions and sensitivity analysisfor economic control problems
inferred← citeshttps://doi.org/10.1023/a:1021842412255openalex-snapshot
Regularity Properties of Optimal Controls with Application to Discrete Approximation
inferred← citeshttps://doi.org/10.1023/a:1026099606815openalex-snapshot
Analysis of Properties of the Solutions to Parametric Time-Optimal Problems
inferred← citeshttps://doi.org/10.1023/a:1026491014283openalex-snapshot
Nonlinear Programming Methods for Real-Time Control of an Industrial Robot
inferred← citeshttps://doi.org/10.1023/b:coap.0000039490.61195.86openalex-snapshot
Approximate Gradient Projection Method with Runge-Kutta Schemes for Optimal Control Problems
inferred← citeshttps://doi.org/10.1051/cocv/2010027openalex-snapshot
Convergence and regularization results for optimal control problems with sparsity functional
inferred← citeshttps://doi.org/10.1051/cocv/2017070openalex-snapshot
Sufficiency and sensitivity for nonlinear optimal control problems on time scales via coercivity
inferred← citeshttps://doi.org/10.1051/cocv/2019003openalex-snapshot
Optimal control of fractional semilinear PDEs
inferred← citeshttps://doi.org/10.1051/cocv:2001127openalex-snapshot
The SQP method for control constrained optimal control of the Burgers equation
inferred← citeshttps://doi.org/10.1051/cocv:2005029openalex-snapshot
Second-order sufficient optimality conditions for the optimal control of Navier-Stokes equations
inferred← citeshttps://doi.org/10.1051/cocv:2007028openalex-snapshot
Second-order sufficient optimality conditions for a semilinear optimal control problem with nonlocal radiation interface conditions
inferred← citeshttps://doi.org/10.1051/m2an/2012037openalex-snapshot
A posteriorierror estimation for semilinear parabolic optimal control problems with application to model reduction by POD
inferred← citeshttps://doi.org/10.1051/proc:2003001openalex-snapshot
Necessary and Sufficient Optimality Conditions for Optimization Problems in Function Spaces and Applications to Control Theory
inferred← citeshttps://doi.org/10.1080/01630560008816979openalex-snapshot
Error bounds for euler approximation of a state and control constrained optimal control problem1
inferred← citeshttps://doi.org/10.1080/02331930008844488openalex-snapshot
Realtime control of robots with initial value perturbationsvianonlinear programming methods
inferred← citeshttps://doi.org/10.1080/02331930108844537openalex-snapshot
Second order sufficient conditions and sensitivity analysis for the optimal control of a container crane under state constraints
inferred← citeshttps://doi.org/10.1080/02331930902863749openalex-snapshot
Lipschitz stability for elliptic optimal control problems with mixed control-state constraints
inferred← citeshttps://doi.org/10.1080/10556788.2014.932789openalex-snapshot
An adaptive numerical method for semi-infinite elliptic control problems based on error estimates
inferred← citeshttps://doi.org/10.1080/10556789808805678openalex-snapshot
On a lagrange — Newton method for a nonlinear parabolic boundary control problem∗
inferred← citeshttps://doi.org/10.1081/nfa-100108318openalex-snapshot
BOULIGAND DIFFERENTIABILITY OF SOLUTIONS TO PARAMETRIC OPTIMAL CONTROL PROBLEMS *
inferred← citeshttps://doi.org/10.1090/s0025-5718-00-01184-4openalex-snapshot
The Euler approximation in state constrained optimal control
inferred← citeshttps://doi.org/10.1109/cdc.1998.758679openalex-snapshot
On L/sup 2/ sufficient conditions for end-constrained optimal control problems with inputs in a polyhedron
inferred← citeshttps://doi.org/10.1109/cdc.2003.1271649openalex-snapshot
Sensitivity analysis of optimal control problems with bang-bang controls
inferred← citeshttps://doi.org/10.1109/mmar.2011.6031321openalex-snapshot
A posteriori error estimation for nonlinear parabolic boundary control
inferred← citeshttps://doi.org/10.1134/s001226610906010xopenalex-snapshot
Properties of solutions of parametric time-optimal problems in a neighborhood of an abnormal point
inferred← citeshttps://doi.org/10.1137/050625850openalex-snapshot
Sufficient Second‐Order Optimality Conditions for an Elliptic Optimal Control Problem with Pointwise Control‐State Constraints
inferred← citeshttps://doi.org/10.1137/060663714openalex-snapshot
Numerical Verification of Optimality Conditions
inferred← citeshttps://doi.org/10.1137/070707993openalex-snapshot
Stability Analysis of Optimal Control Problems with a Second-Order State Constraint
inferred← citeshttps://doi.org/10.1137/1.9781611974829.ch1openalex-snapshot
Chapter 1: Proper Orthogonal Decomposition for Linear-Quadratic Optimal Control
inferred← citeshttps://doi.org/10.1137/16m1096761openalex-snapshot
Convergence Rate for a Gauss Collocation Method Applied to Constrained Optimal Control
inferred← citeshttps://doi.org/10.1137/18m1219382openalex-snapshot
Convergence Analysis for Approximations of Optimal Control Problems Subject to Higher Index Differential-Algebraic Equations and Mixed Control-State Constraints
inferred← citeshttps://doi.org/10.1137/21m1412190openalex-snapshot
Approximating Optimal feedback Controllers of Finite Horizon Control Problems Using Hierarchical Tensor Formats
inferred← citeshttps://doi.org/10.1137/22m149199xopenalex-snapshot
New Assumptions for Stability Analysis in Elliptic Optimal Control Problems
inferred← citeshttps://doi.org/10.1137/s0036142999351765openalex-snapshot
Second-Order Runge--Kutta Approximations in Control Constrained Optimal Control
inferred← citeshttps://doi.org/10.1137/s0363012900377419openalex-snapshot
Second Order Sufficient Conditions for Optimal Control Problems with Free Final Time: The Riccati Approach
inferred← citeshttps://doi.org/10.1137/s0363012902402578openalex-snapshot
Second Order Sufficient Conditions for Time-Optimal Bang-Bang Control
inferred← citeshttps://doi.org/10.1137/s0363012902403262openalex-snapshot
Sufficient Second-Order Optimality Conditions for a Parabolic Optimal Control Problem with Pointwise Control-State Constraints
inferred← citeshttps://doi.org/10.1137/s036301299224031xopenalex-snapshot
Second-Order Optimality Conditions in Sets of ${\text{L}}^\infty $ Functions with Range in a Polyhedron
inferred← citeshttps://doi.org/10.1137/s0363012994260945openalex-snapshot
Optimality Conditions for a Constrained Control Problem
inferred← citeshttps://doi.org/10.1137/s0363012994266127openalex-snapshot
On ${\text{L}}^2 $ Sufficient Conditions and the Gradient Projection Method for Optimal Control Problems
inferred← citeshttps://doi.org/10.1137/s0363012994267637openalex-snapshot
Sufficient Optimality Conditions for Optimal Control Subject to State Constraints
inferred← citeshttps://doi.org/10.1137/s036301299426948xopenalex-snapshot
An a Priori Estimate for Discrete Approximations in Nonlinear Optimal Control
inferred← citeshttps://doi.org/10.1137/s0363012996299314openalex-snapshot
Lipschitzian Stability for State Constrained Nonlinear Optimal Control
inferred← citeshttps://doi.org/10.1137/s0363012997324910openalex-snapshot
Second Order Sufficient Optimality Conditions for Some State-constrained Control Problems of Semilinear Elliptic Equations
inferred← citeshttps://doi.org/10.1137/s0363012998338570openalex-snapshot
Uniform Convergence and Mesh Independence of Newton's Method for Discretized Variational Problems
inferred← citeshttps://doi.org/10.1137/s0363012998341423openalex-snapshot
On the Lagrange--Newton--SQP Method for the Optimal Control of Semilinear Parabolic Equations
inferred← citeshttps://doi.org/10.1137/s1052623400367698openalex-snapshot
Second-Order Necessary and Sufficient Optimality Conditions for Optimization Problems and Applications to Control Theory
inferred← citeshttps://doi.org/10.1177/01423312211043335openalex-snapshot
Convergence for the optimal control problems using collocation at Legendre-Gauss points
inferred← citeshttps://doi.org/10.1365/s13291-014-0109-3openalex-snapshot
Second Order Optimality Conditions and Their Role in PDE Control
inferred← citeshttps://doi.org/10.14279/depositonce-3204openalex-snapshot
Optimal boundary control of quasilinear elliptic partial differential equations: theory and numerical analysis
inferred← citeshttps://doi.org/10.2139/ssrn.7213793openalex-snapshot
Knowledge-Guided Adaptive Dynamic Programming for Optimal Control of Discrete-Time Nonlinear Systems
inferred← citeshttps://doi.org/10.25560/9042openalex-snapshot
Higher Order Conditions in Nonlinear Optimal Control
inferred← citeshttps://doi.org/10.3182/20050703-6-cz-1902.00745openalex-snapshot
DISCRETE MECHANICS AND OPTIMAL CONTROL
inferred← citeshttps://doi.org/10.3934/jgm.2016007openalex-snapshot
Neighboring extremal optimal control for mechanical systems on Riemannian manifolds
inferred← citeshttps://doi.org/10.3934/naco.2012.2.465openalex-snapshot
Model reduction techniques with a-posteriori error analysis for linear-quadratic optimal control problems
inferred← citeshttps://doi.org/10.4064/-32-1-361-378openalex-snapshot
Minima in control problems with constraints
inferred← citeshttps://doi.org/10.4171/jems/1232openalex-snapshot
Nonuniqueness of minimizers for semilinear optimal control problems
inferred← citeshttps://doi.org/10.4171/zaa/723openalex-snapshot
Second Order Sufficient Optimality Conditions for a Nonlinear Elliptic Boundary Control Problem
inferred← citeshttps://doi.org/10.4171/zaa/893openalex-snapshot
Lipschitz Stability of Solutions to Parametric Optimal Control Problems for Parabolic Equations
inferred← citeshttps://doi.org/10.68381/jca09032openalex-snapshot
Sensitivity Analysis for Parametric Optimal Control of Semilinear Parabolic Equations
inferred← citeshttps://doi.org/10.68381/jca09039openalex-snapshot
On the Topology of Generalized Semi-Infinite Optimization
Editorial review for independent work. ICSAC — the Institute for Complexity Science and Advanced Computing — runs a structured editorial panel for researchers publishing outside journals, and publishes on CiteStamp rails. Submission is free and goes through ORCID: icsacinstitute.org/submit.