20 citations · 45 across the 5 of their papers we have counts for
5 papers
Viscosity solutions of Hamilton-Jacobi equations for neutral-type systems
Anton Plaksin
The paper deals with path-dependent Hamilton-Jacobi equations with a coinvariant derivative which arise in investigations of optimal control problems and differential games for neu…
Equivalence of minimax and viscosity solutions of path-dependent Hamilton-Jacobi equations
Mikhail Gomoyunov, Anton Plaksin
In the paper, we consider a path-dependent Hamilton-Jacobi equation with coinvariant derivatives over the space of continuous functions. Such equations arise from optimal control p…
Path-Dependent Hamilton--Jacobi Equations: The Minimax Solutions Revised
Mikhail I. Gomoyunov, Nikolai Yu. Lukoyanov, Anton R. Plaksin
Motivated by optimal control problems and differential games for functional differential equations of retarded type, the paper deals with a Cauchy problem for a path-dependent Hami…
Viscosity solutions of Hamilton-Jacobi-Bellman-Isaacs equations for time-delay systems
Anton Plaksin
The paper deals with a zero-sum differential game for a dynamical system which motion is described by a nonlinear delay differential equation under an initial condition defined by…
Minimax and Viscosity Solutions of Hamilton-Jacobi-Bellman Equations for Time-Delay Systems
Anton Plaksin
The paper deals with a Bolza optimal control problem for a dynamical system which motion is described by a delay differential equation under an initial condition defined by a piece…