Yalcin Kaya

Research Interests

Control Theory Numerical Analysis Numerical and Computational Mathematics Optimisation

Teaching Strengths

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

APrf Yalcin Kaya

School of Mathematical Sciences

College of Sciences

Eligible to supervise Masters and PhD (as Co-Supervisor) - email supervisor to discuss availability.

Available For Media Comment.

After a BSc and an MSc from Middle East Technical University and a PhD from University of Western Australia, I joined University of South Australia (UniSA) in 1996, and worked as a Lecturer, Senior Lecturer, and then Associate Professor of Mathematics, until 2021.  Currently, I am an adjunct member of Adelaide University.

My interests span optimization, control, and numerical analysis, mainly concerned with devising numerical techniques and algorithms. Currently, my research focuses 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.

Publication Profiles and Repositories:  Google Scholar, ResearchGate, ORCiD, MathSciNet

PhD Supervision

See: Maths Genealogy

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
2026 Kaya, C. Y., Noakes, L., & Schrader, P. (2026). Curves of minimax spirality. ESAIM Control Optimisation and Calculus of Variations, 32, 24 pages.
DOI
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 Scopus4 WoS3
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 Scopus5 WoS5
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 Scopus2 WoS2
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 Scopus2 WoS1
2024 Kaya, C. Y., Noakes, L., & Zhang, E. (2024). Multi-objective variational curves. Journal of Optimization Theory and Applications, 201(2), 955-975.
DOI Scopus1 WoS1
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 Scopus2 WoS2
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 Scopus17 WoS13
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 Scopus33 WoS30
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 Scopus1 WoS1
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 Scopus1 WoS1
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 Scopus3 WoS2
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 Scopus5 WoS4
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 Scopus5 WoS4
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 Scopus8 WoS8
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 Scopus6 WoS6
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 Scopus12 WoS9
2019 Kaya, C. Y. (2019). Markov-Dubins interpolating curves. Computational optimization and applications, 73(2), 647-677.
DOI Scopus16 WoS15
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 Scopus45 WoS48
2017 Kaya, C. Y. (2017). Markov-Dubins path via optimal control theory. Computational optimization and applications, 68(3), 719-747.
DOI Scopus33 WoS27
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 Scopus6 WoS4
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 Scopus2 WoS2
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 Scopus7 WoS5
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 Scopus24 WoS16
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 Scopus65 WoS56
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 Scopus6 WoS5
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 Scopus55 WoS53
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 Scopus11 WoS11
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 Scopus30 WoS30
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 Scopus11 WoS13
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 Scopus2 WoS2
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 Scopus29 WoS27
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 Scopus26 WoS22
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 Scopus35 WoS30
2010 Kaya, C. Y. (2010). Inexact restoration for Runge-Kutta discretization of optimal control problems. SIAM Journal on Numerical Analysis, 48(4), 1492-1517.
DOI Scopus36 WoS32
2008 Kaya, C. Y., & Noakes, J. L. (2008). Leapfrog for optimal control. SIAM journal on numerical analysis, 46(6), 2795-2817.
DOI Scopus20 WoS16
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 Scopus38 WoS37
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, 3(2), 381-398.
DOI Scopus22 WoS17
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 Scopus54 WoS48
2005 Belen, S., Kaya, C., & Pearce, C. (2005). Impulsive control of rumours with two broadcasts. The ANZIAM Journal, 46(3), 379-391.
DOI Scopus6 WoS6
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 Scopus131 WoS120
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 Scopus17 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 Scopus25 WoS21
2004 Kaya, C. Y. (2004). Time-optimal switching control for the US cocaine epidemic. Socio-economic planning sciences, 38(1), 57-72.
DOI Scopus4
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 Scopus123 WoS114
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
1997 Yalçin Kaya, C., & Lyle Noakes, J. (1997). Closed trajectories and global controllability in the plane. IMA Journal of Mathematical Control and Information, 14(4), 353-369.
DOI Scopus9
1996 Kaya, C. Y., & Noakes, J. L. (1996). Computations and time-optimal controls. Optimal Control Applications and Methods, 17(3), 171-185.
DOI Scopus63 WoS50
1995 Kaya, C. Y., & Noakes, J. L. (1995). Linearized control systems and small-time reachable sets. IMA Journal of Mathematical Control and Information, 12(3), 207-217.
DOI
1993 Kaya, C., & Bell, D. J. (1993). Performance deterioration in optimum linear systems. International Journal of Systems Science, 24(7), 1285-1300.
DOI Scopus1 WoS1

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 Vol. 15 (pp. 455-460). UK: Pergamon.
DOI Scopus6
2001 Lucas, S., & Kaya, C. Y. (2001). Switching-time computation for Bang-Bang control laws. In Proceedings of the American control conference Vol. 1 (pp. 176-181). Piscataway, New Jersey: IEEE.
DOI Scopus22 WoS17
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 WoS4
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 (pp. 1647-1650). 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 Vol. 5 (pp. 4918-4919). USA: IEEE Control Systems Society.
Scopus8 WoS9
1994 Kaya, C. Y., & Noakes, J. L. (1994). Global control law with implications in time-optimal control. In M. Peshkin (Ed.), Proceedings of the IEEE Conference on Decision and Control Vol. 4 (pp. 3823-3824). FL, LAKE BUENA VISTA: I E E E.
Scopus3 WoS4

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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