اجماع گروهی مبتنی‌بر رهبر سیستم‌های چند‌عاملی مرتبه‌کسری زمان‌گسسته با‌تاخیر‌زمانی

[1]      F. L. Lewis, H. Zhang, K. Hengster-Movric and A. Das, Cooperative Control of Multi-agent Systems: Optimal and Adaptive Design Approaches, Springer-Verlag, London, 2014.

[2]      C. G. Cassandras and W. Li, “Sensor networks and cooperative control,” European Journal of Control, vol. 11, no. 4-5, pp. 436-463, 2005.

[3]       Z. Qu, J. Wang and R. A. Hull, “Cooperative control of dynamical systems with application to autonomous vehicles,” IEEE Transactions on Automatic Control, vol. 53, no. 4, pp. 894 – 911, 2008.

[4]       J. Ghommam, M. S. Mahmoud and M. Saad, “Robust cooperative control for a group of mobile robots with quantized information exchange,” Journal of the Franklin Institute, vol. 350, no. 8, pp. 2291–2321, 2013.

[5]      W. Ni and D. Cheng, “Leader-following consensus of multi-agent systems under fixed and switching topologies,” Systems & Control Letters, vol. 59, no. 3-4, pp.209–217, 2010.

[6]       K. D. Do, “Formation control of multiple elliptical agents with limited sensing ranges,” Automatica, vol. 48, no. 7, pp. 1330-1338, 2012.

[7]       R. Olfati-Saber, “Flocking for multi-agent dynamic systems: algorithms and theory,” IEEE Transactions on Automatic Control, vol. 51, no. 3, pp. 401 – 420, 2006.

[8]       H. Y. Yang, X. L. Zhu and S. Y. Zhang, “Consensus of second-order delayed multi-agent systems with leader-following,” European Journal of Control, vol. 16, no. 2, pp. 188-199, 2010.

[9]       W. Zhu and D. Cheng, “Leader-following consensus of second-order agents with multiple time-varying delays,” Automatica, vol. 46, no. 12, pp. 1994–1999, 2010.

[10]      S. Djaidja and Q. Wu, “Leader-following consensus of single-integrator multi-agent systems under noisy and delayed communication,” International Journal of Control, Automation and Systems, vol. 14, no. 2, pp. 357-366, 2016.

[11]      D. Xie and S. Wang, “Consensus of second-order discrete-time multi-agent systems with fixed topology,” Journal of Mathematical Analysis and Applications, vol. 387, no. 1, pp. 8–16, 2012.

[12]       H. Li, X. Liao and G. Chen, “Leader-following finite-time consensus in second-order multi-agent networks with nonlinear dynamics,” International. Journal of Control, Automation and Systems, vol. 11, no. 2, pp. 422–426, 2013.

[13]       Y. Zhang and Y. Yang, “Finite-time consensus of second-order leader-following multi-agent systems without velocity measurements,” Physics Letters A, vol. 377, no. 3-4, pp. 243–249, 2013.

[14]       T. A. Jesus, L. C. A. Pimenta, L. A. B. Torres and E. M. A. M. Mendes, “Consensus for double-integrator dynamics with velocity constraints,” International Journal of Control, Automation and Systems, vol. 12, no. 5, pp. 930–938, 2014.

[15]       H. Hu, L. Yu, G. Chen and G. Xie, “Second-order consensus of multi-agent systems with unknown but bounded disturbance,” International. Journal of Control, Automation and Systems, vol. 11, no. 2, pp. 258–267, 2013.

[16]       S. Yu and X. Long, “Finite-time consensus for second-order multi-agent systems with disturbances by integral sliding mode,” Automatica, vol. 54, pp. 158–165, 2015.

[17]       X. He and Q. Wang, “Distributed finite-time leaderless consensus control for double-integrator multi-agent systems with external disturbances,” Applied Mathematics and Computation, vol. 295, pp. 65–76, 2017.

[18]       C. A. Monje, Y. Q. Chen, B. M. Vinagre, D. Xue and V. Feliu-Batlle, Fractional-order Systems and Controls: Fundamentals and Applications, Springer-Verlag, London, 2010.

[19]      الهه اسدی و سعید بلوچیان، «کنترل مقاوم-تطبیقی مرتبه‌کسری موتور سری جریان مستقیم»، مجله مهندسی برق دانشگاه تبریز، جلد 47، شماره 3، صفحات 817-827، پاییز 1396.

[20]      پوریا جعفری، محمد تشنه لب و مهسان توکلی کاخکی، «طراحی کنترل‌کننده فازی تطبیقی مستقیم برای سیستم‌های مرتبه‌کسری غیرخطی به‌کمک جبران ساز»، مجله مهندسی برق دانشگاه تبریز، جلد 47، شماره 3، صفحات 929-917، پاییز 1396.

[21]      J. Shen and J. Cao, “Necessary and sufficient conditions for consensus of delayed fractional‐order systems,” Asian Journal of Control, vol. 14, no. 6, pp. 1690–1697, 2012.

[22]       J. Shen, J. Cao and J. Lu, “Consensus of fractional-order systems with non-uniform input and communication delays,” Proceedings of the Institution of Mechanical Engineers, Part. I: Journal of Systems and Control Engineering, vol. 226, no. 2, pp. 271-283, 2012.

[23]       X. Yin and S. Hu, “Consensus of fractional‐order uncertain multi‐agent systems based on output feedback,” Asian Journal of Control, vol. 15, no. 5, pp. 1538–1542, 2013.

[24]       Z. Yu, H. Jiang and C. Hu, “Leader-following consensus of fractional-order multi-agent systems under fixed topology,” Neurocomputing, vol. 149, pp. 613–620, 2015.

[25]       H. Y. Yang, X. L. Zhu and K. C. Cao, “Distributed coordination of fractional order multi-agent systems with communication delays,”Fractional Calculus and Applied Analysis, vol. 17, no. 1, pp. 23–37, 2014.

[26]        G. Ren and Y. Yu, “Robust consensus of fractional multi-agent systems with external disturbances,” Neurocomputing, vol. 218, pp. 339–345, 2016.

[27]      J. Bai, G. Wen, A. Rahmani and Y. Yu, “Consensus problem with a reference state for fractional-order multi-agent systems,” Asian Journal of Control, vol. 19, no. 3, pp. 1009-1018, 2017.

[28]      W. Zhu, W. Li, P. Zhou and C. Yang, “Consensus of fractional-order multi-agent systems with linear models via observer-type protocol,” Neurocomputing, vol. 230, pp. 60–65, 2017.

[29]       C. Yang, W. Li and W. Zhu, “Consensus analysis of fractional-order multiagent systems with double-integrator,” Discrete Dynamics in Nature and Society, vol. 2017, 9256532, 2017.

[30]       W. Zhu, B. Chen and J. Yang, “Consensus of fractional-order multi-agent systems with input time delay,” Fractional Calculus and Applied Analysis, vol. 20, no. 1, pp.52-70, 2017.

[31]       X. Ma, F. Sun, H. Li and B. He, “The consensus region design and analysis of fractional-order multi-agent systems,” International Journal of Systems Science, vol. 48, no. 3, pp. 629-636, 2017.

[32]       X. Liu, Z. Zhang and H. Liu, “Consensus control of fractional-order systems based on delayed state fractional order derivative,” Asian Journal of. Control, doi: 10.1002/asjc.1493, 2017.

[33]      F. Wang and Y. Yang, “Leader-following exponential consensus of fractional order nonlinear multi-agents system with hybrid time-varying delay: A heterogeneous impulsive method,” Physica A: Statistical Mechanics and its Applications, vol. 482, pp. 158-172, 2017.

[34]      J. Yu and L. Wang, “Group consensus in multi-agent systems with switching topologies and communication delays,” Systems & Control Letters, vol. 59, no. 6, pp. 340-348, 2010.

[35]      J. Yu and L. Wang, “Group consensus of multi-agent systems with directed information exchange,” International Journal of Systems Science, vol. 43, no. 2, pp. 334-348, 2012.

[36]      D. Xie, Q. Liu, L. Lv and S. Li, “Necessary and sufficient condition for the group consensus of multi-agent systems,” Applied Mathematics and Computation, vol. 243, pp. 870-878, 2014.

[37]      G. Miao and Q. Ma, “Group consensus of the first-order multi-agent systems with nonlinear input constraints,” Neurocomputing, vol. 161, pp. 113-119, 2015.

[38]      H. Xia and T. Huang, “Group consensus of multi-agent systems with communication delays,” Neurocomputing, vol. 171, pp. 1666-1673, 2016.

[39]      Q. Cui, D. Xie and F.Jiang, “Group consensus tracking control of second-order multi agent systems with directed fixed topology,” Neurocomputing, vol. 218, pp. 286-295, 2016.

[40]      Y. Gao, J. Yu, J. Shao and M. Yu, “Group consensus for second-order discrete-time multi-agent systems with time-varying delays under switching topologies,” Neurocomputing, vol. 207, pp. 805-812, 2016.

[41]      G. Wen, J. Huang, C. Wang, Z. Chen and Z. Peng, “Group consensus control for heterogeneous multi-agent systems with fixed and switching topologies,” International Journal of Control, vol. 89, no. 2, pp. 259-269, 2016.

[42]      J. Chen, Z. H. Guan, T. Li, D. X. Zhang, M. F. Ge and D. F. Zheng, “Multiconsensus of fractional-order uncertain multi-agent systems,” Neurocomputing, vol. 168, pp. 698–705, 2015.

[43]      R. Stanisławski and K. J. Latawiec, “Stability analysis for discrete-time fractional-order LTI state-space systems. Part I: New necessary and sufficient conditions for the asymptotic stability,” Bulletin of the Polish Academy of Sciences Technical Sciences, vol. 61, no. 2, pp. 353–361, 2013.

[44]       R. Stanisławski and K. J. Latawiec, “Stability analysis for discrete-time fractional-order LTI state-space systems. Part II : New stability criterion for FD-based systems,” Bulletin of the Polish Academy of Sciences Technical Sciences, vol. 61, no. 2, pp. 363–370, 2013.

[45]      P. Skruch, “A general fractional-order thermal model for buildings and its properties,” Advances in the Theory and Applications of Non-integer Order Systems, pp. 213-220, 2013.