55 citations · 55 across the 5 of their papers we have counts for
5 papers
On a hypercycle equation with infinitely many members
Alexander S. Bratus, Olga S. Chmereva, Ivan Yegorov +1
A hypercycle equation with infinitely many types of macromolecules is formulated and studied both analytically and numerically. The resulting model is given by an integro-different…
Exploiting characteristics in stationary action problems
V. Basco, P. M. Dower, W. M. McEneaney +1
Connections between the principle of stationary action and optimal control, and between established notions of minimax and viscosity solutions, are combined to describe trajectorie…
Synthesis of control Lyapunov functions and stabilizing feedback strategies using exit-time optimal control
Ivan Yegorov, Peter M. Dower, Lars Grüne
This paper studies the problem of constructing control Lyapunov functions (CLFs) and feedback stabilization strategies for deterministic nonlinear control systems described by ordi…
Open Quasispecies Models: Stability, Optimization, and Distributed Extension
Ivan Yegorov, Artem S. Novozhilov, Alexander S. Bratus
We suggest a natural approach that leads to a modification of classical quasispecies models and incorporates the possibility of population extinction in addition to growth. The res…
Perspectives on characteristics based curse-of-dimensionality-free numerical approaches for solving Hamilton-Jacobi equations
Ivan Yegorov, Peter Dower
This paper extends the considerations of the works [1, 2] regarding curse-of-dimensionality-free numerical approaches to solve certain types of Hamilton-Jacobi equations arising in…