Yalcin Kaya

Research Interests

Control Theory Numerical Analysis Numerical and Computational Mathematics Optimisation

Teaching Strengths

Calculus and Linear Algebra
Numerical Analysis
Optimal Control Theory and Applications
Linear and Nonlinear Programming
Numerical Optimization

APrf Yalcin Kaya

School of Mathematical Sciences

College of Science

Available For Media Comment.

After a BSc and an MSc from the Middle East Technical University and a PhD from the University of Western Australia, I joined University of South Australia in 1996, and worked as a Lecturer, Senior Lecturer, and then Associate Professor of Mathematics, until 2021. Since 2021, I have been an adjunct member of UniSA.  
My interests span optimization, control, and numerical analysis, mainly concerned with devising numerical techniques and algorithms. Currently, they focus on

Discretized solutions of single- and multi-objective optimal control problems
Operator splitting and projection methods for optimal control problems
Optimal path planning: finding curves that meet certain optimization criteria.

Maths Genealogy

Publication Profiles and Repositories 

Google Scholar, ResearchGate, ORCiD, MathSciNet

Awards

  • DST (Defence Science and Technology)–UniSA (Joint) Certificate of Recognition for Defence Partnership in Research (2019)
  • CAPES Visiting Foreign Professor Fellowship, the Ministry of Education of Brazil (Feb 2004–Feb 2005)
  • Australian Postgraduate Research Award (Jan 1993–Dec 1995)
  • British Council Fellowship (Sep 1990–Oct 1991)

Date Position Institution name
2026 - ongoing Adjunct Associate Professor Adelaide University
2021 - 2025 Adjunct Associate Professor University of South Australia
2019 - 2021 Associate Professor University of South Australia
2004 - 2005 Professor Visitante Estrangeiro (Visiting Foreign Professor) Federal University of Rio de Janeiro
2001 - 2018 Senior Lecturer University of South Australia
1996 - 2000 Lecturer University of South Australia
1992 - 1992 Assistant Lecturer University of Western Australia

Date Type Title Institution Name Country Amount
2019 Recognition DST (Defence Science and Technology)–UniSA (Joint) Certificate of Recognition for Defence Partnership in Research Defence Science and Technology Group Australia -
2008 Teaching Award UniSA Enhancing Learning Award University of South Australia Australia -
2004 Fellowship CAPES Visiting Foreign Professor Fellowship Federal University of Rio de Janeiro Brazil -
1999 Teaching Award UniSA Supported Academic Teacher Award for Excellence in Teaching University of South Australia Australia -
1993 Scholarship Australian Postgraduate Research Award University of Western Australia Australia -
1990 Scholarship British Council Fellow University of Manchester United Kingdom -

Language Competency
English Can read, write, speak, understand spoken and peer review
Turkish Can read, write, speak, understand spoken and peer review

Date Institution name Country Title
1992 - 1995 University of Western Australia Australia PhD

Date Title Institution Country
1990 - 1991 Student Researcher University of Manchester United Kingdom

Year Citation
2024 Huong, V. T., Kaya, C. Y., & Yen, N. D. (2024). Solution to an open question about optimal economic growth models. Applicable Analysis, 103(7), 1215-1223.
DOI
2024 Burachik, R. S., Caldwell, B. I., & Kaya, C. Y. (2024). Douglas-Rachford algorithm for control-constrained minimum-energy control problems. ESAIM: Control, Optimisation and Calculus of Variations, 30(18), 1-33.
DOI
2024 Burachik, R. S., Caldwell, B. I., Kaya, C. Y., & Moursi, W. M. (2024). Optimal control duality and the Douglas-Rachford algorithm. SIAM Journal on Control and Optimization, 62(1), 680-698.
DOI
2024 Burachik, R. S., Caldwell, B. I., & Kaya, C. Y. (2024). Douglas-Rachford algorithm for control- and state-constrained optimal control problems. AIMS Mathematics, 9(6), 13874-13893.
DOI
2024 Burachik, R. S., Kaya, C. Y., & Moursi, W. M. (2024). Infeasible and critically feasible optimal control. Journal of Optimization Theory and Applications, 203(2), 1219-1245.
DOI
2024 Kaya, C. Y., Noakes, L., & Zhang, E. (2024). Multi-objective variational curves. Journal of Optimization Theory and Applications, 201(2), 955-975.
DOI
2023 Burachik, R. S., Kaya, C. Y., & Liu, X. (2023). A primal-dual algorithm as applied to optimal control problems. Pure and Applied Functional Analysis, 8(5), 1301-1331.
DOI Scopus1
2023 Burachik, R. S., Efatmaneshnik, M., Kalloniatis, A. C., & Kaya, C. Y. (2023). Optimal organizations across many faces of complexity: synchronized networks with load-balance and minimum complexity. IEEE Systems Journal, 17(4), 5393-5404.
DOI
2023 Kaya, C. Y., & Maurer, H. (2023). Optimization over the Pareto front of nonconvex multi-objective optimal control problems. Computational Optimization and Applications, 86(3), 1247-1274.
DOI
2022 Burachik, R. S., Kaya, C. Y., & Rizvi, M. M. (2022). Algorithms for generating Pareto fronts of multi-objective integer and mixed-integer programming problems. Engineering Optimization, 54(8), 1413-4125.
DOI
2022 Burachik, R. S., Kaya, C. Y., & Price, C. J. (2022). A primal-dual penalty method via rounded weighted-ℓ1 Lagrangian duality. Optimization, 71(13), 3981-4017.
DOI Scopus7 WoS4
2022 Kaya, C. Y. (2022). Observer path planning for maximum information. Optimization, 71(4), 1097-1116.
DOI
2021 Burachik, R. S., Kalloniatis, A. C., & Kaya, C. Y. (2021). Sparse network optimization for synchronization. Journal of Optimization Theory and Applications, 191(1), 229-251.
DOI
2021 Burachik, R. S., Caldwell, B. I., & Kaya, C. Y. (2021). A generalized multivariable newton method. Fixed Point Theory and Algorithms for Sciences and Engineering, 2021(15), 1.
DOI
2021 Burachik, R. S., & Kaya, C. Y. (2021). Steklov convexification and a trajectory method for global optimization of multivariate quartic polynomials. Mathematical Programming, 189(1-2), 187-216.
DOI
2020 Arıkan, O., Burachik, R. S., & Kaya, C. Y. (2020). Steklov regularization and trajectory methods for univariate global optimization. Journal of global optimization, 76(1), 91-120.
DOI
2020 Kaya, C. Y. (2020). Optimal control of the double integrator with minimum total variation. Journal of Optimization Theory and Applications, 185(3), 966-981.
DOI
2020 Bauschke, H. H., Burachik, R. S., Herman, D. B., & Kaya, C. Y. (2020). On Dykstra's algorithm: finite convergence, stalling, and the method of alternating projections. Optimization Letters, 14(8), 1975-1987.
DOI
2019 Corless, R. M., Kaya, C. Y., & Moir, R. H. C. (2019). Optimal residuals and the Dahlquist test problem. Numerical algorithms, 81(4e), 1253-1274.
DOI
2019 Kaya, C. Y. (2019). Markov-Dubins interpolating curves. Computational optimization and applications, 73(2), 647-677.
DOI
2017 Burachik, R. S., Kaya, C. Y., & Rizvi, M. M. (2017). A new scalarization technique and new algorithms to generate pareto fronts. SIAM journal on optimization, 27(2), 1010-1034.
DOI
2017 Kaya, C. Y. (2017). Markov-Dubins path via optimal control theory. Computational optimization and applications, 68(3), 719-747.
DOI
2016 Alt, W., Kaya, C. Y., & Schneider, C. (2016). Dualization and discretization of linear-quadratic control problems with bang-bang solutions. EURO Journal on Computational Optimization, 4(1), 47-77.
DOI
2016 Burachik, R. S., Kaya, C. Y., & Pinar, M. Ç. (2016). Special issue on "non-linear continuous optimization". EURO journal on computational optimization, 4(1), 1-2.
DOI
2015 Arikan, O., Burachik, R. S., & Kaya, C. Y. (2015). "Backward differential flow" may not converge to a global minimizer of polynomials. Journal of optimization theory and applications, 167(1), 401-408.
DOI
2014 Banihashemi, N., & Kaya, C. Y. (2014). Inexact restoration and adaptive mesh refinement for optimal control. Journal of Industrial Management and Optimization, 10(2), 521-542.
DOI
2014 Burachik, R. S., Kaya, C. Y., & Majeed, S. N. (2014). A duality approach for solving control-constrained linear-quadratic optimal control problems. SIAM journal on control and optimization, 52(3), 1423-1456.
DOI
2014 Burachik, R. S., Kaya, C. Y., & Rizvi, M. M. (2014). A new scalarization technique to approximate Pareto fronts of problems with disconnected feasible sets. Journal of optimization theory and applications, 162(2), 428-446.
DOI
2014 Burachik, R. S., Freire, W., & Kaya, C. Y. (2014). Interior Epigraph Directions method for nonsmooth and nonconvex optimization via generalized augmented Lagrangian duality. Journal of global optimization, 60(3), 501-529.
DOI
2014 Kaya, C. Y., & Maurer, H. (2014). A numerical method for nonconvex multi-objective optimal control problems. Computational optimization and applications, 57(3), 685-702.
DOI
2013 Kaya, C. Y., & Noakes, J. L. (2013). Finding interpolating curves minimizing L∞ acceleration in the Euclidean space via optimal control theory. SIAM journal on control and optimization, 51(1), 442-464.
DOI
2013 Banihashemi, N., & Kaya, C. Y. (2013). Inexact restoration for Euler discretization of box-constrained optimal control problems. Journal of optimization theory and applications, 156(3), 726-760.
DOI
2012 Burachik, R. S., & Kaya, C. Y. (2012). An augmented penalty function method with penalty parameter updates for nonconvex optimization. Nonlinear analysis, 75(3), 1158-1167.
DOI
2012 Burachik, R. S., Kaya, C. Y., & Sabach, S. (2012). A generalized univariate Newton method motivated by proximal regularization. Journal of optimization theory and applications, 155(3), 923-940.
DOI
2011 Dutta, J., & Kaya, C. Y. (2011). A new scalarization and numerical method for constructing the weak Pareto front of multi-objective optimization problems. Optimization, 60(8-9), 1091-1104.
DOI
2010 Burachik, R. S., Kaya, C. Y., & Mammadov, M. (2010). An inexact modified subgradient algorithm for nonconvex optimization. Computational optimization and applications, 45(1), 1-24.
DOI
2010 Bonnel, H., & Kaya, C. Y. (2010). Optimization over the efficient set of multi-objective convex optimal control problems. Journal of optimization theory and applications, 147(1), 93-112.
DOI
2008 Kaya, C. Y., & Noakes, J. L. (2008). Leapfrog for optimal control. SIAM journal on numerical analysis, 46(6), 2795-2817.
DOI
2007 Kaya, C. Y., & Martinez, J. (2007). Euler discretization and inexact restoration for optimal control. Journal of optimization theory and applications, 134(2), 191-206.
DOI
2007 Kaya, C. Y., & Burachik, R. S. (2007). An update rule and a convergence result for a penalty function method. Journal of industrial and management optimization.
2006 Karan, M., Shi, P., & Kaya, C. Y. (2006). Transition probability bounds for the stochastic stability robustness of continuous and discrete time Markovian jump linear systems. Automatica, 42(12), 2159-2168.
DOI Scopus206 WoS187
2006 Burachik, R. S., Gasimov, R., Ismayilova, N., & Kaya, C. Y. (2006). On a modified subgradient algorithm for dual problems via sharp augmented lagrangian. Journal of global optimization, 34(1), 55-78.
DOI
2005 Belen, S., Kaya, C., & Pearce, C. (2005). Impulsive control of rumours with two broadcasts. The ANZIAM Journal, 46(3), 379-391.
DOI
2005 Shi, P., Karan, M., & Kaya, C. Y. (2005). Robust Kalman filter design for Markovian jump linear systems with norm-bounded unknown nonlinearities. Circuits, systems and signal processing, 24(2), 135-150.
DOI Scopus49 WoS45
2005 Maurer, H., Buskens, C., Kim, J., & Kaya, C. Y. (2005). Optimization methods for the verification of second order sufficient conditions for bang-bang controls. Optimal control applications & methods, 26(3), 129-156.
DOI
2004 Kaya, C. Y., Tugai, Y., Filar, J. A., Agrawal, M., Ali, R., Linda, R., & Cooke, R. (2004). Heroin users in Australia : population trends. Drug and alcohol review, 23(1), 107-116.
DOI Scopus16 WoS10 Europe PMC4
2004 Kaya, C. Y., Lucas, S. K., & Simakov, S. T. (2004). Computations for bang-bang constrained optimal control using a mathematical programming formulation. Optimal Control Applications & Methods, 25(6), 295-308.
DOI
2004 Kaya, C. Y. (2004). Time-optimal switching control for the US cocaine epidemic. Socio-economic planning sciences.
2003 Kaya, C. Y., & Noakes, J. (2003). Computational method for time-optimal switching control. Journal of optimization theory and applications, 117(1), 69-92.
DOI
2002 Boukas, E., Shi, P., Karan, M., & Kaya, C. Y. (2002). Linear discrete-time systems with Markovian jumps and mode dependent time-delay : stability and stabilisability. Mathematical problems in engineering, 8(2), 123-133.
DOI Scopus17 WoS15
2000 Shi, P., & Kaya, C. Y. (2000). Robust Kalman filtering for continuous-time systems with norm-bounded nonlinear uncertainties. IMA journal of mathematical control and information, 17(4), 363-373.
DOI Scopus5
1998 Kaya, C. Y., & Noakes, J. L. (1998). A global control algorithm in the plane. Dynamics and Control: an international journal, 8(4), 377-385.
DOI

Year Citation
2008 Johnston, H., Aziz, S. M., Kaya, C. Y., & Quinn, D. (2008). Engaging students: encouraging success. In ATN assessment conference 2008 : Engaging students in assessment (pp. 27-35). Australia: University of South Australia.
2002 Karan, M., Shi, P., & Kaya, C. Y. (2002). Transition rate bounds for the stability robustness of continuous time Markovian jump linear systems. In F. Camacho (Ed.), Proceedings of the IFAC World Congress 2002 Vol. 15 (pp. 383-388). UK: Elsevier Science Ltd.
DOI
2002 Simakov, S., Kaya, C. Y., & Lucas, S. (2002). Computations for time-optimal bay-bay control using a lagrangian formulation. In E. Camacho (Ed.), Proceedings of the IFAC World Congress 2002. UK: Pergamon.
2001 Lucas, S., & Kaya, C. Y. (2001). Switching-time computation for Bang-Bang control laws. In Proceedings of the American control conference (pp. 176-181 vol.1). Piscataway, New Jersey: IEEE.
DOI
2000 Shi, P., Karan, M., & Kaya, C. Y. (2000). Robust Kalman Filter Design for Hybrid Systems with Norm-Bounded Unknown Nonlinearities. In Proceedings of the 39th IEEE Conference on Decision and Control Vol. 2 (pp. 1597-1598). South Australia: CD/Casual Productions.
DOI Scopus5
1999 Kaya, C. Y. (1999). Linearization of Control Systems and the Swing-out. In 14th IFAC World Congress.
1999 Kravchuk, O., Boland, J. W., & Kaya, C. Y. (1999). The frequency domain algorithm for selection of building parameters to provide comfort temperature in a dwelling. In Proceedings of the 37th Annual Conference of the Australian and New Zealand Solar Energy Society. Deakin University, Victoria, Australia: ANZSES.
1999 Kravchuk, O., & Kaya, C. Y. (1999). Incorporation of external climatic parameters for thermal control of a dwelling. In Proceedings of the 37th annual conference at the Australian & New Zealand Solar Energy Society.
1998 Shi, P., Kaya, C. Y., & Shi, Y. (1998). Kalman Filtering Design for Nonlinear Systems with Parametric Uncertainties. In Proceedings of the 5th International Conference on Neural Information Processing. Japan: JNNS.
1998 Kaya, C. Y., & Noakes, L. (1998). The Leap-Frog Algorithm and Optimal Control: Background and Demonstration. In Optimization Techniques and Applications. Perth, Australia: Curtin Printing Services.
1998 Kaya, C. Y., & Noakes, L. (1998). The Leap-Frog Algorithm and Optimal Control: Theoretical Aspects. In Optimization Techniques and Applications. Perth: Curtin Publishing Services.
1997 Kaya, C. Y., & Noakes, J. (1997). Nonlinear Systems of Equations and Small-Time Switching Control. In Proceedings of Control '97. Canberra: Institution of Engineers.
1997 Kaya, C. Y., & Noakes, J. (1997). Geodesics and an Optimal Control Algorithm. In Proceedings of the 33rd IEEE Conference on Decision and Control. USA: IEEE Control Systems Society.

Year Citation
2014 Schulte, R., Burachik, R., & Kaya, Y. (2014). US08644571, Intensity-modulated proton therapy.

  • Optimised networks for synchronisation, load-balance and warfighting dynamics., Defence Science and Technology Group, 22/03/2019 - 30/06/2019

  • Multi-Objective Optimisation for Autonomous UAV Location Planning Over Dynamic Networks, Cwth Dept of Defence, 24/03/2017 - 31/08/2018

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