Associate Professor C Yalçın Kaya

Associate Professor of Mathematics School of Information Technology and Mathematical Sciences

Mawson Lakes Campus (OC1-30)
tel +61 8 830 23801
fax +61 8 830 25785

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 am an associate professor of mathematics. I have been with UniSA since 1996. During this period, I also held visiting positions in Brazil (for 12 months as a CAPES Foreign Visiting Professor), Turkey (for 6 months as Visiting Assoc Prof), and for shorter terms in Germany, Austria and U.S.A..

My research encompasses optimization, optimal control and numerical analysis, and is concerned with devising numerical techniques and algorithms. Currently, it revolves around

Discretized Solutions of Optimal Control Problems
Duality for Optimization and Optimal Control
Multi-objective Optimization and Optimal Control
Optimal Path Planning, Numerical Analysis and Other Problems

School of Information Technology and Mathematical Sciences

Offering degrees in IT, mathematics, science and data science, the School is a leading Australian applied maths department.

Tweets by @UniversitySA

Research

Research themes

Transforming industries
Scarce resources

Research focus

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

Highlights

Publication Profiles and Repositories

Google Scholar, ResearchGate, ORCiD, MathSciNet (via library)

Recent Invited Conference Talks

"Optimal Control with Minimum Total Variation," Workshop on Splitting Algorithms, Modern Operator Theory, and Applications, 17–22 Sep 2017, Banff Research Station for Mathematical Innovation and Discovery, Casa Matematica Oaxaca, Oaxaca, Mexico.
"Markov-Dubins Interpolating Curves," Workshop on Optimization Theory and Applications, 13–14 December 2016, Hong Kong Polytechnic Univ., Hong Kong.

Awards

CAPES Visiting Foreign Professor Fellowship, the Ministry of Education of Brazil (Feb 2004-Feb 2005)
Australian Postgraduate Research Award (APRA) (1993-1995)
British... Read more

Research

Outputs

Research since 2008 is shown below. To see earlier years visit ORCID, ResearcherID or Scopus

Open access indicates that an output is open access.

Highlights

Year	Output
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 2 1
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 3 2
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. 7 4
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 19 18
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 20 21

Chapters

Year	Output
2010	Burachik, RS & Kaya, CY 2010, 'A Deflected Subgradient Method Using a General Augmented Lagrangian Duality with Implications on Penalty Methods', in R Burachik & Jen-Chih Yao, Variational Analysis and Generalized Differentiation in Optimization and Control, Springer, New York, pp. 109-132. 9 8

Journal Articles

Year	Output
2019	Kaya, CY 2019, 'Markov-Dubins interpolating curves', Computational Optimization and Applications, vol. 73, no. 2, pp. 647-677.
2018	Corless, RM, Kaya, CY & Moir, RHC 2018, 'Optimal residuals and the Dahlquist test problem', Numerical Algorithms, online pp. 1-22.
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 2 1
2017	Kaya, CY 2017, 'Markov-Dubins path via optimal control theory', Computational Optimization and Applications, vol. 68, no. 3, pp. 719-747. 2 2 1
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 3 2
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
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. 2 1
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. 7 4
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 22 16
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 3
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 19 18
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 12 14
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 7 6
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 8 10
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. 1
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 15 14
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 17 15
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 17 15
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 20 21
2008	Kaya, CY & Noakes, J 2008, 'Leapfrog for optimal control', SIAM Journal on Numerical Analysis, vol. 46, no. 6, pp. 2795-2817. Open access 10 8

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

Research

Patents

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

External engagement & recognition

Collaborations

Highlights

Editorial Positions

Associate Editor (2014 - present), Applied Mathematics and Computation (2017 InCites JCR rank: 21/252 in Appl. Maths)
Guest Editor (2014-2016), Special Issue "Computational Nonlinear Continuous Optimization," EURO Journal on Computational Optimization, vol. 4, issue 1, pp. 1-121, 2016. (editorial)

Conference Organization (at UniSA)

4th South Pacific Continuous Optimization Meeting (SPCOM 2015), 8-12 Feb 2015, Adelaide. (reports in AustMS Gazette, AMSI's The Update, and AMSI Research Report 2014-2015)
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)

Reviewer for

SIAM J. on Control & Optimization
J. of Optimization Theory & Applications
Numerical Algorithms
Comput. Optimization & Applications
J. of Global Optimization
Mathematics of Computation
Applied Mathematics & Computation
Optimization
Math. Meth. of Operations Research
Comput. & Applied Mathematics
Optimization Letters
Optimization Meth. & Software
J. of Indust. & Manag. Optimization
ANZIAM Journal
Mathematical Reviews
Automatica
IEEE Transactions on Automatic Control
Chaos

External engagement & recognition

Collaborations

Organisation	Country
Adelaide, Australia	AUSTRALIA
Bilkent University	TURKEY
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 Jena	GERMANY
University of New Caledonia	NEW CALEDONIA
University of South Australia	AUSTRALIA
University of Western Australia	AUSTRALIA
University of Western Ontario	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 Australian Mathematical Society (AustMS)	2017
Member Australia and New Zealand Industrial and Applied Mathematics (ANZIAM)	2017
Member Society for Industrial and Applied Mathematics (SIAM)	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

Other

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 (Completions)

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)

Award

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
Strong duality and exact penalization for a general family of augmented Lagrangians, for nonconvex and nonsmooth optimization	Current
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

more less

Associate Professor C Yalçın Kaya

About me

About me

School of Information Technology and Mathematical Sciences

About me

Professional Associations

Experience

Qualifications

Research

Research themes

Research focus

Highlights

Projects

Outputs

Highlights

Chapters

Journal Articles

Conferences

Current research & highlights

Patents

External engagement & recognition

Collaborations

Highlights

Collaborations

External engagement & recognition

Associate Editor

Member

Member

Member

Associate Editor

Member

Member

Member

Associate Editor

Associate Editor

Associate Editor

Detailed Assessor

Other

Teaching & student supervision

Teaching strengths

Highlights

Courses and programs

Courses I teach and/or co-ordinate

Research degree supervision

Gallery