On the public citation graph

Some applications of viscosity solutions to optimal control and differential games

0 signed · 131 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 See whether every reference in this work resolves to a known work and none has been retracted — and get a dated CiteStamped badge you can embed.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/10.1006/jdeq.1994.1078openalex-snapshot
Viscosity Solutions for Hamilton-Jacobi Equations with Unbounded Nonlinear Term: A Simplified Approach
inferredcites →https://doi.org/10.1006/jfan.1993.1122openalex-snapshot
A Dynamic Programming Approach to Nonlinear Boundary Control Problems of Parabolic Type
inferredcites →https://doi.org/10.1006/jfan.1994.1119openalex-snapshot
Viscosity Solutions of Hamilton-Jacobi Equations in Infinite Dimensions. VII. The HJB Equation Is Not Always Satisfied
inferredcites →https://doi.org/10.1006/jmaa.1993.1253openalex-snapshot
Verification Theorems within the Framework of Viscosity Solutions
inferredcites →https://doi.org/10.1006/jmaa.1995.1139openalex-snapshot
Stability of Dynamical Systems with Competitive Controls: The Degenerate Case
inferredcites →https://doi.org/10.1007/0-387-31071-1openalex-snapshot
Controlled Markov Processes and Viscosity Solutions
inferredcites →https://doi.org/10.1007/978-0-8176-4755-1openalex-snapshot
Optimal Control and Viscosity Solutions of Hamilton-Jacobi-Bellman Equations
inferredcites →https://doi.org/10.1007/978-0-8176-4757-5openalex-snapshot
H∞-Optimal Control and Related Minimax Design Problems
inferredcites →https://doi.org/10.1007/978-1-4471-2065-0openalex-snapshot
Differential Games
inferredcites →https://doi.org/10.1007/978-1-4612-0245-5openalex-snapshot
Advances in Dynamic Games and Applications
inferredcites →https://doi.org/10.1007/978-1-4612-0245-5_1openalex-snapshot
A Theory of Differential Games
inferredcites →https://doi.org/10.1007/978-1-4612-0245-5_5openalex-snapshot
Fully Discrete Schemes for the Value Function of Pursuit-Evasion Games
inferredcites →https://doi.org/10.1007/978-1-4612-0245-5_6openalex-snapshot
Zero Sum Differential Games With Stopping Times: Some Results About its Numerical Resolution
inferredcites →https://doi.org/10.1007/978-1-4612-0847-1openalex-snapshot
Generalized Solutions of First Order PDEs
inferredcites →https://doi.org/10.1007/978-1-4612-1592-9openalex-snapshot
Stochastic and Differential Games: Theory and Numerical Methods
inferredcites →https://doi.org/10.1007/978-1-4612-1592-9_1openalex-snapshot
Constructive Theory of Positional Differential Games and Generalized Solutions to Hamilton—Jacobi Equations
inferredcites →https://doi.org/10.1007/978-1-4612-1592-9_4openalex-snapshot
Set-Valued Numerical Analysis for Optimal Control and Differential Games
inferredcites →https://doi.org/10.1007/978-1-4612-2568-3openalex-snapshot
Control Under Lack of Information
inferredcites →https://doi.org/10.1007/978-1-4612-3716-7openalex-snapshot
Game-Theoretical Control Problems
inferredcites →https://doi.org/10.1007/978-1-4612-4274-1openalex-snapshot
New Trends in Dynamic Games and Applications
inferredcites →https://doi.org/10.1007/978-1-4612-4274-1_14openalex-snapshot
Convergence of Discrete Schemes for Discontinuous Value Functions of Pursuit-Evasion Games
inferredcites →https://doi.org/10.1007/978-1-4613-8489-2openalex-snapshot
Nonsmooth Analysis and Geometric Methods in Deterministic Optimal Control
inferredcites →https://doi.org/10.1007/978-1-4613-8489-2_2openalex-snapshot
Approximation of Optimal Control Problems with State Constraints: Estimates and Applications
inferredcites →https://doi.org/10.1007/978-1-4684-0441-8openalex-snapshot
Numerical Methods for Stochastic Control Problems in Continuous Time
inferredcites →https://doi.org/10.1007/978-1-4757-9259-1_9openalex-snapshot
Offline and Online Computation of Optimal Trajectories in the Aerospace Field
inferredcites →https://doi.org/10.1007/978-1-4899-3561-8openalex-snapshot
H∞-Optimal Control and Related
inferredcites →https://doi.org/10.1007/978-3-0348-8497-6_4openalex-snapshot
Solving Optimal Control and Pursuit-Evasion Game Problems of High Complexity
inferredcites →https://doi.org/10.1007/978-94-009-7189-9_6openalex-snapshot
Nonlinear Systems in Optimal Control Theory and Related Topics
inferredcites →https://doi.org/10.1007/bf00997118openalex-snapshot
The Bellman equation for time-optimal control of noncontrollable, nonlinear systems
inferredcites →https://doi.org/10.1007/bf01102352openalex-snapshot
Maximum principle, dynamic programming, and their connection in deterministic control
inferredcites →https://doi.org/10.1007/bf01168747openalex-snapshot
Differential games and nonlinear first order PDE on bounded domains
inferredcites →https://doi.org/10.1007/bf01189393openalex-snapshot
Convexity properties of the minimum time function
inferredcites →https://doi.org/10.1007/bf01189477openalex-snapshot
Zero-sum differential games involving impulse controls
inferredcites →https://doi.org/10.1007/bf01442176openalex-snapshot
Approximate solutions of the bellman equation of deterministic control theory
inferredcites →https://doi.org/10.1007/bf01442644openalex-snapshot
A numerical approach to the infinite horizon problem of deterministic control theory
inferredcites →https://doi.org/10.1007/bf01447738openalex-snapshot
Approximation and regular perturbation of optimal control problems via Hamilton-Jacobi theory
inferredcites →https://doi.org/10.1007/bf01448202openalex-snapshot
Optimal trajectories associated with a solution of the contingent Hamilton-Jacobi equation
inferredcites →https://doi.org/10.1007/bf01448203openalex-snapshot
Total risk aversion, stochastic optimal control, and differential games
inferredcites →https://doi.org/10.1007/bf01448394openalex-snapshot
On a discrete approximation of the Hamilton-Jacobi equation of dynamic programming
inferredcites →https://doi.org/10.1007/bf02134013openalex-snapshot
Asymptotic analysis of nonlinear stochastic risk-sensitive control and differential games
inferredcites →https://doi.org/10.1007/bfb0004258openalex-snapshot
Differential Games and Applications
inferredcites →https://doi.org/10.1007/bfb0004263openalex-snapshot
A PDE framework for games of pursuit-evasion type
inferredcites →https://doi.org/10.1007/bfb0040220openalex-snapshot
Differential Games — Developments in Modelling and Computation
inferredcites →https://doi.org/10.1007/bfb0040234openalex-snapshot
Approximation of differential games of pursuit-evasion by discrete-time games
inferredcites →https://doi.org/10.1007/bfb0082920openalex-snapshot
Partial Differential Equations
inferredcites →https://doi.org/10.1007/bfb0094293openalex-snapshot
Viscosity Solutions and Applications
inferredcites →https://doi.org/10.1007/bfb0094294openalex-snapshot
Viscosity solutions: A primer
inferredcites →https://doi.org/10.1007/bfb0094297openalex-snapshot
Controlled markov processes, viscosity solutions and applications to mathematical finance
inferredcites →https://doi.org/10.1007/bfb0113240openalex-snapshot
Risk sensitive optimal control and differential games
inferredcites →https://doi.org/10.1007/bfb0120033openalex-snapshot
Discrete approximation of the minimal time function for systems with regular optimal trajectories
inferredcites →https://doi.org/10.1007/s002110050031openalex-snapshot
Discrete time high-order schemes for viscosity solutions of Hamilton-Jacobi-Bellman equations
inferredcites →https://doi.org/10.1016/0016-0032(67)90126-3openalex-snapshot
Calculus of variations and partial differential equations of the first order
inferredcites →https://doi.org/10.1016/0022-1236(89)90062-1openalex-snapshot
Viscosity solutions of fully nonlinear second-order equations and optimal stochastic control in infinite dimensions. III. Uniqueness of viscosity solutions for general second-order equations
inferredcites →https://doi.org/10.1016/0022-1236(92)90081-sopenalex-snapshot
Viscosity solutions for a class of Hamilton-Jacobi equations in Hilbert spaces
inferredcites →https://doi.org/10.1016/0022-247x(61)90009-9openalex-snapshot
The convergence problem for differential games
inferredcites →https://doi.org/10.1016/0166-3615(83)90024-6openalex-snapshot
Analysis and optimization of systems
inferredcites →https://doi.org/10.1016/0167-6911(91)90057-lopenalex-snapshot
Construction of optimal feedback controls
inferredcites →https://doi.org/10.1016/0362-546x(85)90062-8openalex-snapshot
Max-min representations and product formulas for the viscosity solutions of Hamilton-Jacobi equations with applications to differential games
inferredcites →https://doi.org/10.1016/0362-546x(89)90096-5openalex-snapshot
The Bellman equation for minimizing the maximum cost
inferredcites →https://doi.org/10.1016/0362-546x(90)90113-uopenalex-snapshot
Differential games with maximum cost
inferredcites →https://doi.org/10.1016/0362-546x(93)90019-oopenalex-snapshot
Optimal control and differential games with measures
inferredcites →https://doi.org/10.1016/0362-546x(93)90098-dopenalex-snapshot
Discontinuous viscosity solutions of first-order Hamilton-Jacobi equations: a guided visit
inferredcites →https://doi.org/10.1016/s0294-1449(16)30290-6openalex-snapshot
An approach of deterministic control problems with unbounded data
inferredcites →https://doi.org/10.1016/s0294-1449(17)30020-3openalex-snapshot
Discrete Dynamic Programming and Viscosity Solutions of the Bellman Equation
inferredcites →https://doi.org/10.1051/m2an/1987210405571openalex-snapshot
Discontinuous solutions of deterministic optimal stopping time problems
inferredcites →https://doi.org/10.1051/m2an/1991250505171openalex-snapshot
Jeux différentiels et approximation numérique de fonctions valeur. 1re partie : étude théorique
inferredcites →https://doi.org/10.1051/m2an/1995290100971openalex-snapshot
An approximation scheme for the optimal control of diffusion processes
inferredcites →https://doi.org/10.1070/sm1975v027n03abeh002522openalex-snapshot
GENERALIZED SOLUTIONS OF THE HAMILTON-JACOBI EQUATIONS OF EIKONAL TYPE. I. FORMULATION OF THE PROBLEMS; EXISTENCE, UNIQUENESS AND STABILITY THEOREMS; SOME PROPERTIES OF THE SOLUTIONS
inferredcites →https://doi.org/10.1080/03605308308820297openalex-snapshot
Optimal control of diffustion processes and hamilton-jacobi-bellman equations part I: the dynamic programming principle and application
inferredcites →https://doi.org/10.1080/03605308308820301openalex-snapshot
Optimal control of diffusion processes and hamilton–jacobi–bellman equations part 2 : viscosity solutions and uniqueness
inferredcites →https://doi.org/10.1080/03605309308820983openalex-snapshot
Discontinuous viscosity solutions to dirichlet problems for hamilton-jacob1 equations with
inferredcites →https://doi.org/10.1080/03605309908820745openalex-snapshot
Semicontinuous Viscosity Solutions For Hamilton–Jacobi Equations With Convex Hamiltonians
inferredcites →https://doi.org/10.1080/17442509408833914openalex-snapshot
Controlled markov processes and viscosity solutions
inferredcites →https://doi.org/10.1090/conm/180openalex-snapshot
Domain Decomposition Methods in Scientific and Engineering Computing
inferredcites →https://doi.org/10.1090/conm/180/02008openalex-snapshot
A domain decomposition method for Bellman equations
inferredcites →https://doi.org/10.1090/s0002-9947-1983-0690039-8openalex-snapshot
Viscosity solutions of Hamilton-Jacobi equations
inferredcites →https://doi.org/10.1090/s0002-9947-1984-0732102-xopenalex-snapshot
Some properties of viscosity solutions of Hamilton-Jacobi equations
inferredcites →https://doi.org/10.1090/s0002-9947-1990-0951880-0openalex-snapshot
Hamilton-Jacobi Equations with State Constraints
inferredcites →https://doi.org/10.1090/s0002-9947-1991-0991958-xopenalex-snapshot
Hamilton-Jacobi Equations With Singular Boundary Conditions on a free Boundary and Applications to Differential Games
inferredcites →https://doi.org/10.1090/s0273-0979-1992-00266-5openalex-snapshot
User’s guide to viscosity solutions of second order partial differential equations
inferredcites →https://doi.org/10.1137/0322011openalex-snapshot
Optimal Switching for Ordinary Differential Equations
inferredcites →https://doi.org/10.1137/0323036openalex-snapshot
Differential Games, Optimal Control and Directional Derivatives of Viscosity Solutions of Bellman’s and Isaacs’ Equations
inferredcites →https://doi.org/10.1137/0324032openalex-snapshot
Optimal Control with State-Space Constraint I
inferredcites →https://doi.org/10.1137/0326063openalex-snapshot
Exit Time Problems in Optimal Control and Vanishing Viscosity Method
inferredcites →https://doi.org/10.1137/0327041openalex-snapshot
A Boundary Value Problem for the Minimum-Time Function
inferredcites →https://doi.org/10.1137/0327046openalex-snapshot
Nonlinear Optimal Control with Infinite Horizon for Distributed Parameter Systems and Stationary Hamilton–Jacobi Equations
inferredcites →https://doi.org/10.1137/0327053openalex-snapshot
Optimal Feedback Controls
inferredcites →https://doi.org/10.1137/0327076openalex-snapshot
The Hamiltonian–Jacobi–Bellman Equation for Time-Optimal Control
inferredcites →https://doi.org/10.1137/0328053openalex-snapshot
An Approximation Scheme for the Minimum Time Function
inferredcites →https://doi.org/10.1137/0328056openalex-snapshot
Numerical Methods for Stochastic Control Problems in Continuous Time
inferredcites →https://doi.org/10.1137/0328066openalex-snapshot
A Zero-Sum Differential Game in a Finite Duration with Switching Strategies
inferredcites →https://doi.org/10.1137/0329068openalex-snapshot
Some Characterizations of Optimal Trajectories in Control Theory
inferredcites →https://doi.org/10.1137/0331016openalex-snapshot
Lower Semicontinuous Solutions of Hamilton–Jacobi–Bellman Equations
inferredcites →https://doi.org/10.1137/0331027openalex-snapshot
Pursuit–Evasion Problems and Viscosity Solutions of Isaacs Equations
inferredcites →https://doi.org/10.1137/1.9781611970142openalex-snapshot
Method of Dynamic and Nonsmooth Optimization
inferredcites →https://doi.org/10.1137/1.9781611971309openalex-snapshot
Optimization and Nonsmooth Analysis
inferredcites →https://doi.org/10.1137/s0363012993247445openalex-snapshot
On Nonlinear Optimal Control Problems with State Constraints
inferredcites →https://doi.org/10.1137/s036301299325493xopenalex-snapshot
Dynamic Programming for Nonlinear Systems Driven by Ordinary and Impulsive Controls
inferredcites →https://doi.org/10.1137/s0363012994262695openalex-snapshot
Uniqueness for Viscosity Solutions of Nonstationary Hamilton–Jacobi–Bellman Equations under Some a Priori Conditions (with Applications)
inferredcites →https://doi.org/10.1137/s0363012994266413openalex-snapshot
$\mathcal{H}_\infty $ Control of Nonlinear Systems: Differential Games and Viscosity Solutions
inferredcites →https://doi.org/10.1137/s0363012995291865openalex-snapshot
Estimates of Convergence of Fully Discrete Schemes for the Isaacs Equation of Pursuit-Evasion Differential Games Via Maximum Principle
inferredcites →https://doi.org/10.1215/s0012-7094-85-05242-1openalex-snapshot
Neumann type boundary conditions for Hamilton-Jacobi equations
inferredcites →https://doi.org/10.1215/s0012-7094-87-05521-9openalex-snapshot
Perron’s method for Hamilton-Jacobi equations
inferredcites →https://doi.org/10.1512/iumj.1984.33.33038openalex-snapshot
inferredcites →https://doi.org/10.1512/iumj.1984.33.33040openalex-snapshot
inferredcites →https://doi.org/10.1512/iumj.1989.38.38015openalex-snapshot
inferredcites →https://doi.org/10.1512/iumj.1995.44.1997openalex-snapshot
On the state constraint problem for differential games
inferredcites →https://doi.org/10.1515/rnam.1993.8.2.145openalex-snapshot
Discontinuous solutions of a Dirichlet-type boundary-value problem for the first-order partial differential equation
inferredcites →https://doi.org/10.21236/ada127758openalex-snapshot
Differential Games and Representation Formulas for Solutions of Hamilton-Jacobi-Isaacs Equations.
inferredcites →https://doi.org/10.2307/2532823openalex-snapshot
Evolution Equations, Control Theory, and Biomathematics.
inferredcites →https://doi.org/10.3233/asy-1991-4305openalex-snapshot
Convergence of approximation schemes for fully nonlinear second order equations
inferredcites →https://doi.org/10.57262/die/1370032242openalex-snapshot
The Bellman equation for constrained deterministic optimal control problems
inferredcites →https://doi.org/10.57262/die/1370870941openalex-snapshot
The concept of value in differential games of survival and viscosity solutions of Hamilton-Jacobi equations
inferredcites →https://doi.org/10.57262/die/1370955420openalex-snapshot
Convergence results for Hamilton-Jacobi-Bellman equations in variable domains

What points at this work

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

inferred← citeshttps://doi.org/10.1002/cpa.20101openalex-snapshot
A deterministic‐control‐based approach motion by curvature
inferred← citeshttps://doi.org/10.1002/oca.759openalex-snapshot
Numerical solution to the optimal birth feedback control of a population dynamics: viscosity solution approach
inferred← citeshttps://doi.org/10.1007/978-0-8176-4834-3_11openalex-snapshot
Fully-Discrete Schemes for the Value Function of Pursuit-Evasion Games with State Constraints
inferred← citeshttps://doi.org/10.1007/978-3-0348-8802-8_13openalex-snapshot
Hamilton-Jacobi-Bellman Equations and Optimal Control
inferred← citeshttps://doi.org/10.1007/978-3-319-00957-5_2openalex-snapshot
Dissipation Inequalities and Nonlinear H ∞ -Theory
inferred← citeshttps://doi.org/10.1007/bf02790257openalex-snapshot
Agmon metric for sum-of-squares operators
inferred← citeshttps://doi.org/10.1007/bfb0094294openalex-snapshot
Viscosity solutions: A primer
inferred← citeshttps://doi.org/10.1007/s00013-004-1334-2openalex-snapshot
Gamma limits in some Bernoulli free boundary problem
inferred← citeshttps://doi.org/10.1007/s10587-008-0061-4openalex-snapshot
On the vanishing viscosity method for first order differential-functional IBVP
inferred← citeshttps://doi.org/10.1007/s10898-009-9432-0openalex-snapshot
Approximation of optimal feedback control: a dynamic programming approach
inferred← citeshttps://doi.org/10.1007/s10915-006-9121-9openalex-snapshot
Convex ENO Schemes for Hamilton–Jacobi Equations
inferred← citeshttps://doi.org/10.1081/pde-100002379openalex-snapshot
A LEVEL SET APPROACH TO SEMICONTINUOUS VISCOSITY SOLUTIONS FOR CAUCHY PROBLEMS
inferred← citeshttps://doi.org/10.1109/cdc.2010.5717963openalex-snapshot
Optimal pursuit of moving targets using dynamic Voronoi diagrams
inferred← citeshttps://doi.org/10.1109/cdc.2012.6426643openalex-snapshot
A general, open-loop formulation for reach-avoid games
inferred← citeshttps://doi.org/10.1109/icra.2012.6225074openalex-snapshot
Time-optimal multi-stage motion planning with guaranteed collision avoidance via an open-loop game formulation
inferred← citeshttps://doi.org/10.1109/tac.2005.851439openalex-snapshot
A time-dependent Hamilton-Jacobi formulation of reachable sets for continuous dynamic games
inferred← citeshttps://doi.org/10.1109/tac.2010.2041976openalex-snapshot
Lax–Hopf Based Incorporation of Internal Boundary Conditions Into Hamilton–Jacobi Equation. Part I: Theory
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.