Research > Mathematical System Theory

Publications

  1. A. Haseltalab, M. Akar, "Approximate Byzantine Consensus in Faulty Asynchronous Networks," Proc. of the American Control Conference, Chicago, IL, July, 2015.
  2. O. Cihan and M. Akar, "Mixing Rate Optimization of Markov Chains with Degree Proportional Stationary Distributions," The 17th Yale Workshop on Adaptive and Learning Systems, New Haven, CT, June 2015.
  3. O. Cihan, M. Akar, "Fastest mixing reversible Markov chains on graphs with degree proportional stationary distributions," IEEE Transactions on Automatic Control, vol. 60, no. 1, pp. 227-232, January 2015.
  4. O. Cihan, M. Akar, "Effect of non-uniform varying delay on the rate of convergence in averaging based consensus," Turkish Journal of Electrical Engineering and Computer Sciences, accepted July 2013, DOI: 10.3906/elk-1306-8.
  5. M. Akar and R. Shorten, "On the Existence of Common Lyapunov Functions for Consensus Algorithms Based on Averaging," Turkish Journal of Electrical Engineering and Computer Sciences, vol. 19, no. 3, 2011.
  6. M. Akar, “On Transient Improvement of Variable Structure Controlled Systems Using Multimodel Switching,” Journal of Dynamic Systems, Measurement, and Control-Transactions of ASME, vol. 132, no. 3, 034501, 2010.
  7. C. King, R. Shorten, F. Wirth and M. Akar, "Growth conditions for the global stability of high-speed communication networks,'' IEEE Transactions on Automatic Control, vol. 53, no. 7, pp. 1770-1774, August 2008.
  8. M. Akar and R. Shorten, "Distributed Probabilistic Synchronization Algorithms For Communication Networks," IEEE Transactions on Automatic Control vol. 53, no. 1, pp. 389-393, February 2008.
  9. A. Paul, M. Akar, M. G. Safonov and U. Mitra, "Adaptive power control for wireless networks using multiple controllers and switching,” IEEE Transactions on Neural Networks (special issue on Adaptive Learning Systems in Communication Networks), vol. 16, no. 5, pp. 1212-1218, September 2005.
  10. M. Akar, A. Paul, M. G. Safonov and U. Mitra, "Necessary and sufficient conditions on the stability of a class second order switched systems,” IEEE Transactions on Automatic Control, vol. 51, no. 2, pp. 338-340, February 2006.
  11. M. Akar and K. S. Narendra, "On the existence of common quadratic Lyapunov functions for second order linear time-invariant discrete-time systems,” International Journal of Adaptive Control and Signal Processing, vol. 16, pp. 729-751, December 2002.
  12. M. Akar and Ü. Özgüner, "Decentralized sliding mode control using overlapping decompositions,” Automatica, vol. 38, pp. 1713-1718, October 2002.
  13. M. Akar and M. E. Sezer, "Associative memory design using overlapping decompositions,” Automatica, vol. 37, no. 4, pp. 581-587, April 2001.
  14. M. Akar and Ü. Özgüner, "Decentralized techniques for the analysis and control of Takagi-Sugeno fuzzy systems,” IEEE Transactions on Fuzzy Systems, vol. 8, no. 6, pp. 691-704, December 2000.
  15. O. Cihan and M. Akar, "Effect of Bounded Delay on Convergence Speed of Distributed Consensus Algorithms," Proc. of the 7th International Conference on Control and Automation, New Zealand, December 2009.
  16. D. Arjmand, M. Akar and E. Anarim, "Effect of Bounded Delay on Deterministic Consensus Algorithms via Averaging ", Proc. of the International Symposium on Computer Networks, Istanbul, Turkey, June 2008.
  17. C. King, R. Shorten, F. Wirth and M. Akar, "Sector Conditions for the Global Stability of High-Speed Communication Networks,'' Proc. American Control Conference, Seattle, WA, USA, June 2008.
  18. F. Wirth, R. Shorten and M. Akar, "State Dependent AIMD Algorithms and Consensus Problems," PAMM-Proc. Appl. Math. Mech. , Vol. 6, no. 1, pp. 855-856 December 2006.
  19. R. Shorten, F. Wirth and M. Akar, "On nonlinear AIMD congestion control for high-speed networks", Proc. of IEEE Conference on Decision and Control, San Diego, CA, USA, December 2006.
  20. M. Akar and R. Shorten, "Deterministic synchronization algorithms and convergence rates", Proc. of IEEE International Conference on Networking, Sensing and Control, Ft. Lauderdale, Florida, U.S.A., April 2006.
  21. A. Paul, M. Stefanovic, M. G. Safonov and M. Akar, "Multiple controller adaptive control for a tracking problem using an unfalsification approach", Proc. of the IEEE Conference on Decision and Control, Seville, Spain, December 2005.
  22. M. Akar, "Robust tracking for a class of nonlinear systems using multiple models and switching", Proc. of the American Control Conference, Portland, OR, USA, June 2005.
  23. A. Paul, M. Akar, M. G. Safonov and U. Mitra, "Necessary and sufficient conditions for the stability of a class second order switched systems", Proc. of the American Control Conference, pp. 4561-4562, Boston, MA, June-July, 2004.
  24. M. Akar, "Improved transient performance in sliding modes using multiple controllers and switching", Proc. of the 12th Mediterranean Conference on Control and Automation, Kusadasi, Turkey, June, 2004.
  25. B. Fidan, E. Sezer and M. Akar, "Multi-stage neural networks with application to motion planning of a mechanical snake", Proc. of the American Control Conference, pp. 1278-1283, Denver, CO, June, 2003.
  26. M. Akar and K. S. Narendra, "On the existence of a common quadratic Lyapunov function for two stable second order linear time-invariant discrete-time systems", Proc. of the American Control Conference, Arlington, VA, June 2001.
  27. M. Akar, U. Mitra and Ü. Özgüner, "Optimal control for a class of switching systems", Proc. of American Control Conference, pp. 2697-2701, Chicago, IL, June 2000.
  28. M. Akar and Ü. Özgüner, "Decentralized parallel distributed compensator design for Takagi-Sugeno fuzzy systems", Proc. of the Conference on Decision and Control, pp. 4834-4839, Phoenix, AZ, December 1999.
  29. M. Akar and Ü. Özgüner, "Stability and stabilization of Takagi-Sugeno fuzzy systems", Proc. of the Conference on Decision and Control, pp. 4840-4845, Phoenix, AZ, December 1999.
  30. M. Akar and Ü. Özgüner, "Decentralized sliding mode control in large scale systems", Proc. of the 14th IFAC World Congress, vol. L, pp. 217-222, Beijing, China, July 1999.
  31. M. Akar and Ü. Özgüner, "Decentralized sliding mode control design for hybrid systems", Proc. of the American Control Conference, pp. 525-529, San Diego, CA, June 1999.
  32. M. Akar and Ü. Özgüner, "Decentralized sliding mode control design for discrete time systems", Proc. of the 5th International Workshop on Variable Structure Systems, pp. 43-49, Longboat Key, FL, December 1998.
  33. M. Akar and Ü. Özgüner, "Sliding mode control using state/output feedback in hybrid systems", Proc. of the Conference on Decision and Control, pp. 2421-2422, Tampa, FL, December 1998.
  34. M. Akar and M. E. Sezer, "Overlapping decompositions in the design of associative memories", Proc. Of the IEEE Conference on Neural Networks, Houston, TX, pp. 1199-1204, 1997.