4 citations · 9 across the 6 of their papers we have counts for
6 papers
Reliable Error Estimation for PINNs: Lower and Upper A Posteriori Bounds
Ismail Huseynov, Arzu Ahmadova, Agamirza Bashirov
Physics-informed neural networks (PINNs) combine machine learning with physical laws to solve differential equations. While existing results provide rigorous \emph{a posteriori} up…
Partially Exact Controllability of Semilinear Heat Exchanger Systems
Ismail Huseynov, Arzu Ahmadova, Agamirza E. Bashirov
In this paper, we study two semilinear systems describing a monotubular and a two-stream heat exchanger. Neither system is exactly controllable; however, for each we specify a subs…
Design of Optimal Controls in Acausal LQG Problems
Arzu Ahmadova, Agamirza E. Bashirov
In control theory, a system which has output depending only on the present and past values of the input is said to be causal (or nonanticipative). Respectively, a system is acausal…
Riemann surface of complex logarithm and multiplicative calculus
Agamirza E. Bashirov, Sajedeh Norozpour
Could elementary complex analysis, which covers the topics such as algebra of complex numbers, elementary complex functions, complex differentiation and integration, series expansi…
On Complex Multiplicative Integration
Agamirza E. Bashirov and, Mustafa Riza
In the present paper we extend the multiplicative integral to complex-valued functions of complex variable. The main difficulty in this way, that is the multi-valued nature of the…
Complex Multiplicative Calculus
Agamirza Bashirov, Mustafa Riza
In the present paper we extend the concepts of multiplicative de- rivative and integral to complex-valued functions of complex variable. Some drawbacks, arising with these concepts…