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math.OC2026
Policy iteration for Hamilton-Jacobi-Isaacs equations with control constraints and comparison with Hamilton-Jacobi-Bellman equations
Sudeep Kundu, Karl Kunisch
Convergence of the bilevel policy iteration algorithm for the value function, satisfying the Hamilton-Jacobi-Isaacs (HJI) equation, is analyzed in the presence of control constrain…
math.OC2026
Global stabilization and finite element analysis of the viscous Burgers' equation with memory subject to Neumann boundary feedback control
Shishu Pal Singh, Sudeep Kundu
This paper presents a global stabilization result of the viscous Burgers' equation with the memory term by applying Neumann boundary feedback control laws. We construct suitable fe…
math.NA2026
Finite element theta schemes for the viscous Burgers' equation with nonlinear Neumann boundary feedback control
Shishu Pal Singh, Sudeep Kundu
In this article, we develop a fully discrete numerical scheme for the one-dimensional (1D) and two-dimensional (2D) viscous Burgers equations with nonlinear Neumann boundary feedba…