Associate Professor C Yalçın Kaya

Adjunct Associate Professor UniSA STEM

email Yalcin.Kaya@unisa.edu.au

Available for media comment
Research Degree Supervisor

About me

Optimal Control Theory and Applications
Optimization Theory and Applications
Numerical Analysis
Numerical Methods

I joined UniSA in 1996, after completing a PhD at the University of Western Australia, 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 revolve around

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.

UniSA STEM

Harnessing connections across science, technology, engineering and mathematics, UniSA STEM creates innovative solutions and groundbreaking developments across teaching, learning and research.

Tweets by @UniversitySA

Research

Research focus

Applied Mathematics
Numerical and Computational Mathematics
Electrical and Electronic Engineering
Pure Mathematics
Computation Theory and Mathematics

Highlights

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)

Research

Outputs

Research outputs for the last seven years are shown below. Some long-standing staff members may have older outputs included. To see earlier years visit ORCID, ResearcherID or Scopus

Open access indicates that an output is open access.

Chapters

Year	Output
2025	Burachik, RS & Kaya, CY 2025, 'Visualization of convergence behavior of a generalized Newton Method and Levenberg-Marquardt Algorithm', in B Sriraman (ed.), Handbook of Visual, Experimental and Computational Mathematics, Springer Nature, Switzerland, pp. 1-17.
2019	Bauschke, HH, Burachik, RS & Kaya, CY 2019, 'Constraint splitting and projection methods for optimal control of double integrator', Splitting Algorithms, Modern Operator Theory, and Applications, Springer, Switzerland, ch. 2, pp. 45-68. 5
2010	Burachik, RS & Kaya, CY 2010, 'A deflected subgradient method using a general augmented Lagrangian duality with implications on penalty methods', in RS Burachik (ed.), Variational analysis and generalized differentiation in optimization and control, Springer, New York, pp. 109-132. 11 9

Journal Articles

Year	Output
2024	Burachik, RS, Caldwell, B I & Kaya, CY 2024, 'Douglas-Rachford algorithm for control- and state-constrained optimal control problems', AIMS Mathematics, vol. 9, no. 6, pp. 13874-13893. Open access 1 1
2024	Burachik, RS, Caldwell, B I & Kaya, CY 2024, 'Douglas-Rachford algorithm for control-constrained minimum-energy control problems', ESAIM: Control, Optimisation and Calculus of Variations, vol. 30, no. 18, pp. 1-33. Open access 3 2
2024	Burachik, RS, Caldwell, B I, Kaya, CY & Moursi, WM 2024, 'Optimal control duality and the Douglas-Rachford algorithm', SIAM Journal on Control and Optimization, vol. 62, no. 1, pp. 680-698. Open access 4 4
2024	Burachik, RS, Kaya, CY & Moursi, WM 2024, 'Infeasible and critically feasible optimal control', Journal of Optimization Theory and Applications, vol. 203, no. 2, pp. 1219-1245. Open access 1
2024	Huong, VT, Kaya, CY & Yen, ND 2024, 'Solution to an open question about optimal economic growth models', Applicable Analysis: An International Journal, vol. 103, no. 7, pp. 1215-1223. Open access
2024	Kaya, CY, Noakes, L & Zhang, E 2024, 'Multi-objective variational curves', Journal of Optimization Theory and Applications, vol. 201, pp. 955-975. Open access
2023	Burachik, RS, Efatmaneshnik, M, Kalloniatis, AC & Kaya, CY 2023, 'Optimal organizations across many faces of complexity: synchronized networks with load-balance and minimum complexity', IEEE Systems Journal, vol. 17, no. 4, pp. 5393-5404. Open access 1 1
2023	Burachik, RS, Kaya, CY & Liu, X 2023, 'A primal-dual algorithm as applied to optimal control problems', Pure and Applied Functional Analysis, vol. 8, no. 5, pp. 1301-1331. Open access
2023	Kaya, CY & Maurer, H 2023, 'Optimization over the Pareto front of nonconvex multi-objective optimal control problems', Computational Optimization and Applications, vol. 86, pp. 1247-1274. Open access 10 6
2022	Burachik, R, Kaya, C & Price, C 2022, 'A primal-dual penalty method via rounded weighted-ℓ1 Lagrangian duality', Optimization, vol. 71, no. 13, pp. 3981-4017. Open access 7 4
2022	Burachik, RS, Kaya, CY & Rizvi, MM 2022, 'Algorithms for generating Pareto fronts of multi-objective integer and mixed-integer programming problems', Engineering Optimization, vol. 54, no. 8, pp. 1413-1425. Open access 28 27
2022	Kaya, CY 2022, 'Observer path planning for maximum information', Optimization, vol. 71, no. 4, pp. 1097-1116. Open access 1 1
2021	Burachik, RS & Kaya, CY 2021, 'Steklov convexification and a trajectory method for global optimization of multivariate quartic polynomials', Mathematical Programming, vol. 189, no. 1-2, pp. 187-216. Open access 4 3
2021	Burachik, RS, Caldwell, B I & Kaya, CY 2021, 'A generalized multivariable newton method', Fixed Point Theory and Algorithms for Sciences and Engineering, 2021, article no. 15, pp. 1-36. Open access 1
2021	Burachik, RS, Kalloniatis, AC & Kaya, CY 2021, 'Sparse network optimization for synchronization', Journal of Optimization Theory and Applications, vol. 191, pp. 229-251. Open access 1 1
2020	Arıkan, O, Burachik, RS & Kaya, CY 2020, 'Steklov regularization and trajectory methods for univariate global optimization', Journal of Global Optimization, vol. 76, pp. 91-120. Open access 4 3
2020	Bauschke, HH, Burachik, RS, Herman, DB & Kaya, CY 2020, 'On Dykstra's algorithm: finite convergence, stalling, and the method of alternating projections', Optimization Letters, vol. 14, pp. 1975-1987. Open access 4 3
2020	Kaya, CY 2020, 'Optimal control of the double integrator with minimum total variation', Journal of Optimization Theory and Applications, vol. 185, pp. 966-981. Open access 5 5
2019	Corless, RM, Kaya, CY & Moir, RHC 2019, 'Optimal residuals and the Dahlquist test problem', Numerical Algorithms, vol. 81, no. 4, pp. 1253-1274. Open access 9 6
2019	Kaya, CY 2019, 'Markov-Dubins interpolating curves', Computational Optimization and Applications, vol. 73, no. 2, pp. 647-677. Open access 13 12
2017	Burachik, R, Kaya, C & Rizvi, M 2017, 'A new scalarization technique and new algorithms to generate pareto fronts', SIAM Journal on Optimization, vol. 27, no. 2, pp. 1010-1034. Open access 41 45
2017	Kaya, CY 2017, 'Markov-Dubins path via optimal control theory', Computational Optimization and Applications, vol. 68, no. 3, pp. 719-747. Open access 27 23
2016	Alt, W, Kaya, CY & Schneider, C 2016, 'Dualization and discretization of linear-quadratic control problems with bang-bang solutions', EURO Journal on Computational Optimization, vol. 4, no. 1, pp. 47-77. Open access 6 3
2015	Arikan, O, Burachik, RS & Kaya, CY 2015, '"Backward differential flow" may not converge to a global minimizer of polynomials', Journal of Optimization Theory and Applications, vol. 167, no. 1, pp. 401-408. Open access 2 2
2014	Banihashemi, N & Kaya, CY 2014, 'Inexact restoration and adaptive mesh refinement for optimal control', Journal of Industrial and Management Optimization, vol. 10, no. 2, pp. 521-542. Open access 7 5
2014	Burachik, R, Kaya, C & Majeed, S 2014, 'A duality approach for solving control-constrained linear-quadratic optimal control problems', SIAM Journal on Control and Optimization, vol. 52, no. 3, pp. 1423-1456. 24 16
2014	Burachik, R, Kaya, C & Rizvi, M 2014, 'A new scalarization technique to approximate Pareto fronts of problems with disconnected feasible sets', Journal of Optimization Theory and Applications, vol. 162, no. 2, pp. 428-446. Open access 59 52
2014	Burachik, RS, Freire, W & Kaya, CY 2014, 'Interior Epigraph Directions method for nonsmooth and nonconvex optimization via generalized augmented Lagrangian duality', Journal of Global Optimization, vol. 60, no. 3, pp. 501-529. Open access 3 5
2014	Kaya, CY & Maurer, H 2014, 'A numerical method for nonconvex multi-objective optimal control problems', Computational Optimization and Applications, vol. 57, no. 3, pp. 685-702. Open access 54 52
2013	Banihashemi, N & Kaya, CY 2013, 'Inexact restoration for Euler discretization of box-constrained optimal control problems', Journal of Optimization Theory and Applications, vol. 156, no. 3, pp. 726-760. Open access 28 27
2013	Kaya, CY & Noakes, JL 2013, 'Finding interpolating curves minimizing L∞ acceleration in the Euclidean space via optimal control theory', SIAM Journal on Control and Optimization, vol. 51, no. 1, pp. 442-464. Open access 10 10
2012	Burachik, RS & Kaya, CY 2012, 'An augmented penalty function method with penalty parameter updates for nonconvex optimization', Nonlinear Analysis Theory Methods and Applications, vol. 75, no. 3, pp. 1158-1167. Open access 11 13
2012	Burachik, RS, Kaya, CY & Sabach, S 2012, 'A generalized univariate Newton method motivated by proximal regularization', Journal of Optimization Theory and Applications, vol. 155, no. 3, pp. 923-940. 2 2
2011	Dutta, J & Kaya, CY 2011, 'A new scalarization and numerical method for constructing the weak Pareto front of multi-objective optimization problems', Optimization, vol. 60, no. 8-9, pp. 1091-1104. Open access 28 26
2010	Bonnel, H & Kaya, CY 2010, 'Optimization over the efficient set of multi-objective convex optimal control problems', Journal of Optimization Theory and Applications, vol. 147, no. 1, pp. 93-112. Open access 33 29
2010	Burachik, RS, Kaya, CY & Mammadov, M 2010, 'An inexact modified subgradient algorithm for nonconvex optimization', Computational Optimization and Applications, vol. 45, no. 1, pp. 1-24. Open access 25 21
2010	Kaya, CY 2010, 'Inexact restoration for Runge-Kutta Discretization of Optimal Control Problems', SIAM Journal on Numerical Analysis, vol. 48, no. 4, pp. 1492-1517. Open access 34 31
2008	Kaya, CY & Noakes, JL 2008, 'Leapfrog for optimal control', SIAM Journal on Numerical Analysis, vol. 46, no. 6, pp. 2795-2817. Open access 20 15

Conferences

Year	Output
2008	Johnston, H, Aziz, SM, Kaya, CY & Quinn, D 2008, 'Engaging students: encouraging success', ATN Assessment Conference 2008, University of South Australia, pp. 27-35. Open access

Reports

Year	Output
2021	Burachik, RS, Efatmaneshnik, M & Kaya, CY 2021, Optimised networks for synchronisation, load-balance and complexity, Defence Science and Technology Group, Australia.

Research

Patents

Details	Registry	Status
Intensity-modulated proton therapy Schulte, Reinhard; Burachik, Regina; Kaya, Yalcin	US	Granted

External engagement & recognition

Collaborations

Highlights

Conference Organization at UniSA

4th South Pacific Continuous Optimization Meeting (SPCOM 2015), 8-12 Feb 2015, Adelaide. (reports in AustMS Gazette, AMSI Website, and AMSI's The Update)
AMSI-CIAM Optimization and Control Day, 29 Jan 2011, Adelaide.
53rd Annual Meeting of the Australian Mathematical Society (AustMS 2009), 28 Sep-1 Oct 2009, Adelaide. (report in AustMS Gazette, and a blog)

External engagement & recognition

Collaborations

Organisation	Country
Adelaide, Australia	AUSTRALIA
Bilkent University	TÜRKIYE
Defence Science and Technology Group	AUSTRALIA
Federal University of Juiz de Fora	BRAZIL
Federation University Australia	AUSTRALIA
Indian Institute of Technology Kanpur	INDIA
Loma Linda University	UNITED STATES
State University of Campinas	BRAZIL
Technion Israel Institute of Technology	ISRAEL
University of British Columbia	CANADA
University of Canterbury	NEW ZEALAND
University of Jena	GERMANY
University of Münster	GERMANY
University of New Caledonia	CALEDONIA
University of South Australia	AUSTRALIA
University of Waterloo	CANADA
University of Western Australia	AUSTRALIA
Vietnam Academy of Science and Technology	VIET NAM
Western University	CANADA
Wilhelms-Universitaet Muenster	GERMANY

External engagement & recognition

Engagement/recognition	Year
Associate Editor Applied Mathematics and Computation	2018
Member Australian Mathematical Society (AustMS)	2018
Member Australia and New Zealand Industrial and Applied Mathematics (ANZIAM)	2018
Member Society for Industrial and Applied Mathematics (SIAM)	2018
Associate Editor Applied Mathematics and Computation	2017
Member Australia and New Zealand Industrial and Applied Mathematics (ANZIAM)	2017
Member Society for Industrial and Applied Mathematics (SIAM)	2017
Member Australian Mathematical Society (AustMS)	2017
Associate Editor Applied Mathematics and Computation	2016
Associate Editor Applied Mathematics and Computation	2015
Associate Editor Applied Mathematics and Computation	2014
Detailed Assessor Australian Research Council (ARC)	2012

Teaching & student supervision

Teaching strengths

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

Highlights

PhD Supervision

2025 Dr Bethany I Caldwell, "Douglas–Rachford Algorithm for Optimal Control Problems." (with R S Burachik and W M Moursi)
2022 Dr Xuemei Liu, "An Inexact Deflected Subgradient Algorithm with Applications to Optimal Control Problems." (with R S Burachik)
2013 Dr Saba N Majeed, "New Duality Results for Separable Optimization Problems in Infinite Dimensions: Applications to Optimal Control Theory." (with R S Burachik)
2013 Dr M Mustafa Rizvi, "New Optimality Conditions for Nonlinear Multiobjective Optimization Problems and New Scalarization Techniques for Constructing Pathological Pareto Fronts." (with R S Burachik)
2013 Dr Nahid Banihashemi, "Inexact Restoration and Adaptive Mesh Refinement for Constrained Optimal Control."
2006 Dr Manju R Agrawal, "Dynamics and Control of Drug User Populations in Australia." (with J A Filar)

Awards

UniSA Enhancing Learning Award, Division of ITEE First Year Experience Team (2008)
UniSA Supported Academic Teacher Award for Excellence in Teaching (1999)

Distinction

Nomination for the Supervisor of the Year by the UniSA Student Association (2002)

Teaching & student supervision

Research degree supervision

Supervisions from 2010 shown

Thesis title	Student status
An inexact deflected subgradient algorithm with applications to optimal control problems	Completed
Douglas-Rachford algorithm for optimal control problems	Completed
Inexact restoration and adaptive mesh refinement for constrained optimal control	Completed
New duality results for separable optimization problems in infinite dimensions: applications to optimal control theory	Completed
New optimality conditions for nonlinear multiobjective optimization problems and new scalarization techniques for constructing pathological Pareto fronts	Completed
Real-time rescheduling of trains to smooth traffic flows	Completed

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Associate Professor C Yalçın Kaya

About me

About me

UniSA STEM

About me

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Research

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Chapters

Journal Articles

Conferences

Reports

Current research & highlights

Patents

External engagement & recognition

Collaborations

Highlights

Collaborations

External engagement & recognition

Associate Editor

Member

Member

Member

Associate Editor

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Member

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