Recuperación resiliente de redes caóticas estocásticas de cadenas de suministro mediante control tipo PIN
DOI:
https://doi.org/10.24054/rcta.v2i48.4705Palabras clave:
recuperación resiliente, red de cadena de suministro, red compleja estocástica, control tipo PIN, sistema caóticoResumen
En este artículo se propone un novedoso esquema de control tipo PIN para alcanzar la sincronización en una red de cadena de suministro, concebida como un sistema dinámico compuesto por empresas miembro con comportamientos dinámicos y diversas relaciones empresariales. En este estudio se considera que la red está sujeta a dos tipos distintos de ruido y/o incertidumbre, modelados mediante variables estocásticas, y que la dinámica interna de las empresas es caótica. El objetivo principal del esquema propuesto es lograr la recuperación resiliente de una red de cadena de suministro afectada por disrupciones. Asimismo, se ilustra la eficacia del enfoque mediante un caso real de red de cadena de suministro.
Descargas
Referencias
A. Barabási y R. Albert, “Emergence of scaling in random networks,” Science, vol. 286, no. 5439, pp. 509–512, 1999.
S. Strogatz, “Exploring complex networks,” Nature, vol. 410, no. 6825, p. 268, 2001.
H. Castro Silva, M. Cordero Díaz y D. Merchán Fernández, “Modelo de optimización de la red de transporte primario en el sector de alimentos en Colombia”, RCTA, vol. 2, no. 46, pp. 49–57, Jul. 2025, doi: 10.24054/rcta.v2i46.4073.
X. Wang y G. Chen, “Synchronization in complex dynamical networks,” Journal of Systems Science and Complexity, vol. 16, no. 3, pp. 358–371, 2003.
A. Arenas, A. Díaz-Guilera, J. Kurths, Y. Moreno y C. Zhou, “Synchronization in complex networks,” Physics Reports, vol. 469, no. 3, pp. 93–153, 2008.
F. Dörfler y F. Bullo, “Synchronization in complex networks of phase oscillators: A survey,” Automatica, vol. 50, no. 6, pp. 1539–1564, 2014.
M. Li, Z. Yu, R. Zhou y Y. Zhang, “Fractional-Order Adaptive Resilient Cluster Synchronization Control of Heterogeneous Unmanned Systems Under Deception Attacks and DoS Attacks,” Fractal and Fractional, vol. 10, p. 343, 2026.
L. Liu, M. Zhu, K. Shi, K. Tang y Y. Yang, “Resilient synchronization control for multi-agent systems under stochastic sampling-based triggering algorithm,” Information Sciences, p. 123996, 2026.
O. Suarez, C. Vega, E. Sanchez, G. Chen, J. Elvira-Ceja, y D. Rodriguez, “Neural sliding-mode pinning control for output synchronization for uncertain general complex networks,” Automatica, vol. 112, p. 108694, 2026.
J. Sun, J. Tang, W. Fu, Z. Chen y Y. Niu, “Construction of a multi-echelon supply chain complex network evolution model and robustness analysis of cascading failure,” Computers & Industrial Engineering, vol. 144, p. 106457, 2020.
D. Molina Ortega, C. Pardo Beainy y E. Gutiérrez Cáceres, “Desarrollo de una estrategia de control para una válvula de autocierre en pozos de producción”, RCTA, vol. 2, no. 48, pp. 225–235, 2026, doi: 10.24054/rcta.v2i48.4630.
Z. Liu, M. Li, Y. Lei y X. Zhai, “A joint strategy based on ordering and insurance for mitigating the effects of supply chain disruption on risk-averse firms,” International Journal of Production Economics, vol. 244, p. 108375, 2022.
L. Geng y R. Xiao, “Outer synchronization and parameter identification approach to the resilient recovery of supply network with uncertainty,” Physica A: Statistical Mechanics and its Applications, vol. 482, pp. 407–421, 2017.
L. Geng y R. Xiao, “Control and backbone identification for the resilient recovery of a supply network utilizing outer synchronization,” Applied Sciences, vol. 10, no. 1, p. 313, 2019.
G. Chen, X. Wang y X. Li, Fundamentals of Complex Networks. Singapore: John Wiley & Sons, 2014.
X. Wang y H. Su, “Pinning control of complex networked systems: A decade after and beyond,” Annual Reviews in Control, vol. 38, no. 1, pp. 103–111, 2014.
G. Chen, “Pinning control and controllability of complex dynamical networks,” International Journal of Automation and Computing, vol. 14, no. 1, pp. 1–9, 2017.
X. Wang y G. Chen, “Pinning control of scale-free dynamical networks,” Physica A: Statistical Mechanics and its Applications, vol. 310, no. 3, pp. 521–531, 2002.
X. Li, X. Wang y G. Chen, “Pinning a complex dynamical network to its equilibrium,” IEEE Transactions on Circuits and Systems I: Regular Papers, vol. 51, no. 10, pp. 2074–2087, 2004.
F. Sorrentino, M. di Bernardo, F. Garofalo y G. Chen, “Controllability of complex networks via pinning,” Physical Review E, vol. 75, no. 4, p. 046103, 2007.
J. Xiang y G. Chen, “On the V-stability of complex dynamical networks,” Automatica, vol. 43, no. 6, pp.1049–1057, 2007.
Q. Song, J. Cao y F. Liu, “Synchronization of complex dynamical networks with nonidentical nodes,” Physics Letters A, vol. 374, no. 4, pp. 544–551, 2010.
P. DeLellis, M. di Bernardo, F. Garofalo y M. Porfiri, “Evolution of complex networks via edge snapping,” IEEE Transactions on Circuits and Systems I: Regular Papers, vol. 57, no. 8, pp. 2132–2143, 2010.
G. Wen, W. Yu, G. Hu, J. Cao y X. Yu, “Pinning synchronization of directed networks with switching topologies: A multiple Lyapunov functions approach,” IEEE Transactions on Neural Networks and Learning Systems, vol. 26, no. 12, pp. 3239–3250, 2015.
V. Kulkarni, Modeling and Analysis of Stochastic Systems, 3rd ed. Boca Raton, FL, USA: Crc Press, 2017.
X. Yang y J. Cao, “Finite-time stochastic synchronization of complex networks,” Applied Mathematical Modelling, vol. 34, no. 11, pp. 3631–3641, 2010.
X. Yang, J. Cao y J. Lu, “Stochastic synchronization of complex networks with nonidentical nodes via hybrid adaptive and impulsive control,” IEEE Transactions on Circuits and Systems I: Regular Papers, vol.59, no. 2, pp. 371–384, 2011.
C. Li, W. Yu y T. Huang, “Impulsive synchronization schemes of stochastic complex networks with switching topology: average time approach,” Neural Networks, vol. 54, pp. 85–94, 2014.
G. Russo, F. Wirth y R. Shorten, “On synchronization in continuous-time networks of nonlinear nodes with state-dependent and degenerate noise diffusion,” IEEE Transactions on Automatic Control, vol. 64, no. 1, pp.389–395, 2018.
D. Burbano, G. Russo y M. di Bernardo, “Pinning controllability of complex network systems with noise,” IEEE Transactions on Control of Network Systems, vol. 6, no. 2, pp. 874–883, 2018.
F. Della Rossa y P. DeLellis, “Stochastic master stability function for noisy complex networks,” Physical Review E, vol. 101, no. 5, p. 052211, 2020.
U. Kocamaz, H. Taskin, Y. Uyaroglu y A. Goksu, “Control and synchronization of chaotic supply chains using intelligent approaches,” Computers & Industrial Engineering, vol. 102, pp. 476–487, 2016.
E. Lorenz, “Deterministic nonperiodic flow,” Journal of the Atmospheric Sciences, vol. 20, no. 2, pp.130–141, 1963.
X. Mao, Stochastic Differential Equations and Applications, 2nd ed. Cambridge, UK: Woodhead Publishing, 2008.
R. Khasminskii, Stochastic Stability of Differential Equations, 2nd ed. Berlin Heidelberg, Germany: Springer-Verlag, 2012, vol. 66.
F. Della Rossa, C. Vega y P. De Lellis, “Nonlinear pinning control of stochastic network systems,”Automatica, provisionally accepted, 2022.
F. Della Rossa y P. De Lellis, “Stochastic pinning controllability of noisy complex networks,” IEEETransactions on Control of Network Systems, 2020.
S. Boyd, L. El Ghaoui, E. Feron y V. Balakrishnan, Linear Matrix Inequalities in System and Control Theory. Philadelphia, PA, USA: SIAM, 1994.
S. Cardoso, A. Barbosa-Póvoa, S. Relvas y A. Novais, “Resilience metrics in the assessment of complex supply-chains performance operating under demand uncertainty,” Omega, vol. 56, pp. 53–73, 2015.
Descargas
Publicado
Número
Sección
Licencia
Derechos de autor 2026 Carlos Jesús Vega Pérez, Jesús Alfonso Medrano Hermosillo, Oscar Javier Suarez Sierra
Esta obra está bajo una licencia internacional Creative Commons Atribución-NoComercial 4.0.
