Time-delays are important components of many dynamical systems that describe coupling or interconnection between dynamics, propagation, or transport phenomena in shared environments, in heredity, and in competition in population dynamics. This monograph addresses the problem of stability analysis and the stabilisation of dynamical systems subjected to time-delays. It presents a wide and self-contained panorama of analytical methods and computational algorithms using a unified eigenvalue-based approach illustrated by examples and applications in electrical and mechanical engineering, biology, and complex network analysis.
IEEE Transactions on Control Systems Technology
Permitted by IEEE: http://ieeexplore.ieee.org/xpls/abs_all.jsp?arnumber=5687820
Abdallah, Chaouki T.; Rifat Sipahi; Silviu-Julian Niculescu; Wim Michiels; and Keqin Gu. "Stability and Stabilization of Systems with Time Delay: Limitations and Opportunities." IEEE Transactions on Control Systems Technology 31, 1 (2011): 38-65. http://digitalrepository.unm.edu/ece_fsp/144