Thesis

• Boundary feedback stabilization of some evolutionary partial differential equations (Doctoral dissertation).
  The Council of Higher Education thesis center, 190 pp. (2022). [630977]
• Finite element based stabilized methods for time dependent convection--diffusion equation and their analysis (Master's thesis).
  The Council of Higher Education thesis center, 87 pp. (2016). [473232]

Journal Articles and Preprints

1. The complex Ginzburg-Landau equation on a finite interval and chaos suppression via a finite-dimensional boundary feedback stabilizer (with D. Mantzavinos and T. Özsarı),
   submitted to Journal of Differential Equations. [arXiv]
2. Finite dimensional backstepping controller design (with V.K. Kalantarov and T. Özsarı),
   IEEE Trans. Automat. Control, 70(6), 3816-3829, (2025). [publisher|arXiv]
3. Stabilization of higher order Schrödinger equations on a finite interval: Part II (with T. Özsarı),
   Evol. Equ. Control Theory, 11(4), 1087–, (2022). [publisher|arXiv]
4. Stabilization of higher order Schrödinger equations on a finite interval: Part I (with A. Batal and T. Özsarı),
   Evol. Equ. Control Theory, 10(4), 861–919, (2021). [publisher|arXiv]

Ongoing Research

1. Finite dimensional boundary feedback stabilization for systems of evolutionary PDEs generated by parabolic and hyperbolic PDEs
2. Boundary feedback stabilization of nonlinear damped and strongly damped wave equations by finite determining parameters

Talks

1. Modern Problems of Mathematics and Mechanics, ‘Stabilization of solutions to damped wave equations by finite-dimensional boundary feedback controllers’, Baku, Azerbaijan, 3rd-6th of September, 2025.
2. Ankara Matematik Günleri, ‘Evrimsel kısmi diferansiyel denklemler için sonlu boyutlu kontrol edici tasarımı’, Ankara, Türkiye, 19-20 Haziran, 2025.
3. Workshop on Mathematical Modeling, Analysis and Simulation of Real-World Problems, ‘Finite-dimensional backstepping controller design: A reaction-diffusion example’, Zonguldak, Türkiye, 2nd-3rd of May, 2025.
4. IZTECH Graduate Student Seminar Series, ‘Stabilization of zero equilibrium to higher--order Schrödinger equation with right endpoint backstepping controllers’, İzmir, Türkiye, 25th of October, 2022.
5. 34. Ulusal Matematik Sempozyumu, ‘Doğrusal olmayan reaksiyon–difüzyon denkleminin sonlu boyutlu sınır tipi kontrol ediciler ile kararlılaştırılması’, İzmir, Türkiye, 31 Ağustos-3 Eylül, 2022.
6. İzmir Matematics Days - IV, ‘Stabilization of higher--order Schrödinger equation using right endpoint backstepping controllers’, İzmir, Türkiye, 15th-17th of June, 2022.

Grants

1. TÜBİTAK 1001 Grant (project no: #122F084), 2022-2025,
   Title: ‘Stabilization of infinite dimensional dissipative systems via boundary feedback controllers using finite parameters’
   Position: Researcher
2. TÜBİTAK 2211/A National Ph.D. Scholarship Program, 2017-2021.

Scientific Activities

• Course on Introduction to Optimal and Stochastic Control, by A. Astolfi and G. Scarciotti (Imperial College, London, UK),
  within the scope of International Graduate School on Control Program of European Embedded Control Institute (EECI), on 15th-19th of July, 2020.