Người quan sát cho hệ thống mô tả hình chữ nhật với phi tuyến đầu ra: ứng dụng trong giao tiếp an toàn và triển khai vi điều khiển

Strogatz SH (2018) Nonlinear dynamics and chaos: with applications to physics, biology, chemistry, and engineering. CRC Press, Boca Raton Schöll E, Schuster HG (2008) Handbook of chaos control. Wiley, New York Khan A, Kumar S (2019) Measure of chaos and adaptive synchronization of chaotic satellite systems. Int J Dyn Control 7(2):536–546 Farid Y, Moghaddam TV (2014) Generalized projective synchronization of chaotic satellites problem using linear matrix inequality. Int J Dyn Control 2(4):577–586 Pecora LM, Carroll TL (1990) Synchronization in chaotic systems. Phys Rev Lett 64:821–824 Liao T-L, Huang N-S (1999) An observer-based approach for chaotic synchronization with applications to secure communications. IEEE Trans Circuits Syst I: Fundam Theory Appl 46(9):1144–1150 Yang J, Zhu F (2013) Synchronization for chaotic systems and chaos-based secure communications via both reduced-order and step-by-step sliding mode observers. Commun Nonlinear Sci Numer Simul 18(4):926–937 Muthukumar P, Balasubramaniam P, Ratnavelu K (2017) Sliding mode control design for synchronization of fractional order chaotic systems and its application to a new cryptosystem. Int J Dyn Control 5(1):115–123 Zhao Y, Zhang W, Su H, Yang J (2018) Observer-based synchronization of chaotic systems satisfying incremental quadratic constraints and its application in secure communication. IEEE Trans Syst Man Cybern Syst. https://doi.org/10.1109/TSMC.2018.2868482 Wang H, Han Z, Zhang W, Xie Q (2009) Chaotic synchronization and secure communication based on descriptor observer. Nonlinear Dyn 57(1–2):69 Boutayeb M, Darouach M, Rafaralahy H (2002) Generalized state-space observers for chaotic synchronization and secure communication. IEEE Trans Circuits Syst I: Fundam Theory Appl 49(3):345–349 Duan G-R (2010) Analysis and design of descriptor linear systems, vol 23. Springer, New York Gupta MK, Tomar NK, Bhaumik S (2016) On detectability and observer design for rectangular linear descriptor systems. Int J Dyn Control 4(4):438–446 Chandra S, Gupta MK, Tomar NK (2015) Synchronization of Rossler chaotic system for secure communication via descriptor observer design approach. In: 2015 international conference on signal processing, computing and control (ISPCC). IEEE, pp 120–124 Gupta MK, Tomar NK, Mishra VK, Bhaumik S (2017) Observer design for semilinear descriptor systems with applications to chaos-based secure communication. Int J Appl Comput Math 3(1):1313–1324 Wang H, Zhu X-J, Gao S-W, Chen Z-Y (2011) Singular observer approach for chaotic synchronization and private communication. Commun Nonlinear Sci Numer Simul 16(3):1517–1523 Moysis L, Volos C, Pham V-T, Goudos S, Stouboulos I, Gupta MK, Mishra VK (2019) Analysis of a chaotic system with line equilibrium and its application to secure communications using a descriptor observer. Technologies 7(4):76 Yang J, Chen Y, Zhu F (2014) Singular reduced-order observer-based synchronization for uncertain chaotic systems subject to channel disturbance and chaos-based secure communication. Appl Math Comput 229:227–238 Moysis L, Volos C, Takhi H, Kemih K, Goudos S, Nistazakis HE (2019) Analysis, synchronization and microcontroller implementation of a generalized hyperjerk system, with application to secure communications using a descriptor observer. In: 2019 Panhellenic conference on electronics and telecommunications (PACET). IEEE, pp 1–4 Zhao Y, Zhang W, Wei Guo SY, Song F (2018) Exponential state observers for nonlinear systems with incremental quadratic constraints and output nonlinearities. J Control, Autom Electr Syst 29(2):127–135 Zulfiqar A, Rehan M, Abid M (2016) Observer design for one-sided Lipschitz descriptor systems. Appl Math Model 40(3):2301–2311 Gupta MK, Tomar NK, Darouach M (2018) Unknown inputs observer design for descriptor systems with monotone nonlinearities. Int J Robust Nonlinear Control 28(17):5481–5494 Fan X, Arcak M (2003) Observer design for systems with multivariable monotone nonlinearities. Syst Control Lett 50(4):319–330 Kaçar S (2016) Analog circuit and microcontroller based RNG application of a new easy realizable 4D chaotic system. Optik 127(20):9551–9561 Acho L (2015) A discrete-time chaotic oscillator based on the logistic map: a secure communication scheme and a simple experiment using Arduino. J Frankl Inst 352(8):3113–3121 Predko M (2002) Programming and customizing PICmicro microcontrollers. McGraw Hill, USA Akgul A, Li C, Pehlivan I (2017) Amplitude control analysis of a four-wing chaotic attractor, its electronic circuit designs and microcontroller-based random number generator. J Circuits, Syst Comput 26(12):1750190 Takhi H, Kemih K, Moysis L, Volos C (2020) Passivity based control and synchronization of perturbed uncertain chaotic systems and their microcontroller implementation. Int J Dyn Control 8:973–990. https://doi.org/10.1007/s40435-020-00618-x Bates M (2004) PIC microcontrollers. Newnes, Netherlands Giakoumis A, Volos C, Khalaf AJM, Bayani A, Stouboulos I, Rajagopal K, Jafari S (2020) Analysis, synchronization and microcontroller implementation of a new quasiperiodically forced chaotic oscillator with megastability. Iran J Sci Technol, Trans Electr Eng 44(1):31–45 Li C, Sprott JC (2014) Coexisting hidden attractors in a 4-D simplified Lorenz system. Int J Bifurc Chaos 24(03):1450034 Petavratzis E, Volos C, Nistazakis H, Stouboulos I, Kyprianidis I (2018) An improved motion controller of a mobile robot based on a hyperchaotic system. Int J Mech 12:200–204 Moysis L, Volos C, Jafari S, Munoz-Pacheco JM, Kengne J, Rajagopal K, Stouboulos I (2020) Modification of the logistic map using fuzzy numbers with application to pseudorandom number generation and image encryption. Entropy 22(4):474 Moysis L, Gupta MK, Mishra V, Marwan M, Volos C (2020) Observer design for rectangular descriptor systems with incremental quadratic constraints and nonlinear outputs—Application to secure communications. Int J Robust Nonlinear Control. https://doi.org/10.1002/rnc.5233 Dimassi H, Lorı A, Belghith S et al (2012) A new secured transmission scheme based on chaotic synchronization via smooth adaptive unknown-input observers. Commun Nonlinear Sci Numer Simul 17(9):3727–3739 Cherrier E, Boutayeb M, Ragot J (2006) Observers-based synchronization and input recovery for a class of nonlinear chaotic models. IEEE Trans Circuits Syst I Regul Pap 53(9):1977–1988