1 citations · 3 across the 19 of their papers we have counts for
19 papers
Linear-quadratic control of Volterra integral systems and extensions
S. A. Belbas
We study linear-quadratic optimal control problems for Voterra systems, and problems that are linear-quadratic in the control but generally nonlinear in the state. In the case of l…
Game theory with integral equations as state dynamics
S. A. Belbas
We formulate and analyze game-theoretic problems for systems governed by integral equations. For Volterra integral equations, we obtain and prove necessary and sufficient condition…
Optimal control of second-order integral equations
S. A. Belbas
We analyze optimal control problems for multiple Fredholm and Volterra integral equations. These are non Pontryaginian optimal control problems, i.e. an extremum principle of Pontr…
Solvable cases of optimal control problems for integral equations
S. A. Belbas, W. H. Schmidt
We present a number of cases of optimal control of Volterra and Fredholm integral equations that are solvable in the sense that the problem can be reduced to a solvable integral eq…
Floquet theory for integral and integro-differential equations
S. A. Belbas
We study the extension of Hill's method of infinite determinants to the case of integro-differential equations with periodic coefficients and kernels. We develop the analytical the…
Proofs of certain properties of irrational roots
S. A. Belbas
We give two elementary proofs, at a level understandable by students with only pre-calculus knowledge of Algebra, of the well known fact that an irreducible irrational n-th root of…