57 citations · 156 across the 15 of their papers we have counts for
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Optimal Control Problems with a Fixed Terminal Time in Linear Fractional-Order Systems
Mikhail Gomoyunov
The paper deals with an optimal control problem in a dynamical system described by a linear differential equation with the Caputo fractional derivative. The goal of control is to m…
On representation formulas for solutions of linear differential equations with Caputo fractional derivatives
Mikhail Gomoyunov
In the paper, a linear differential equation with variable coefficients and a Caputo fractional derivative is considered. For this equation, a Cauchy problem is studied, when an in…
Dynamic programming principle and Hamilton-Jacobi-Bellman equations for fractional-order systems
Mikhail I. Gomoyunov
We consider a Bolza-type optimal control problem for a dynamical system described by a fractional differential equation with the Caputo derivative of an order . The va…
Solution to Zero-Sum Differential Game with Fractional Dynamics via Approximations
Mikhail Gomoyunov
The paper deals with a zero-sum differential game in which the dynamical system is described by a fractional differential equation with the Caputo derivative of an order $α\in (0,…