^{1,2}

^{3}

^{1}

^{4,5}

^{5,6}

^{7}

^{1}

^{2}

^{3}

^{4}

^{5}

^{6}

^{7}

Mathematical control of complex systems have already become an ideal research area for control engineers, mathematicians, computer scientists, and biologists to understand, manage, analyze, and interpret functional information/dynamical behaviours from real-world complex dynamical systems, such as communication systems, process control, environmental systems, intelligent manufacturing systems, transportation systems, and structural systems. This special issue aims to bring together the latest/innovative knowledge and advances in mathematics for handling complex systems. Topics include, but are not limited to the following: control systems theory (behavioural systems, networked control systems, delay systems, distributed systems, infinite-dimensional systems, and positive systems); networked control (channel capacity constraints, control over communication networks, distributed filtering and control, information theory and control, and sensor networks); and stochastic systems (nonlinear filtering, nonparametric methods, particle filtering, partial identification, stochastic control, stochastic realization, system identification).

We have solicited submissions to this special issue from control engineers, electrical engineers, computer scientists, and mathematicians. After a rigorous peer review process, 31 papers have been selected that provide overviews, solutions, or early promises, to manage, analyze, and interpret dynamical behaviours of complex systems. These papers have covered both the theoretical and practical aspects of complex systems in the broad areas of dynamical systems, mathematics, statistics, operational research, and practical engineering.

This special issue starts with two survey papers on the recent advances of recursive filtering (sliding mode design) for networked nonlinear stochastic systems and distributed filtering (fault detection) for sensor networks. Specifically, in the paper entitled “

During the past decades, the problems of performance analysis of complex systems have received significant research attention. In the paper entitled “

The design of various controllers has long been the main stream of research topics and much effort has been made for complex systems. In the paper entitled “

In the past decades, the issues of filter design and fault detection have received considerable research interests and have found successful applications in a wide range of practical engineering domains. In the paper entitled “

Over the past decades, the applications of various control schemes have received considerable research interests. In the work entitled “

This special issue is a timely reflection of the recent research progress in the area of mathematical control of complex systems. We would like to acknowledge all authors for their efforts in submitting high-quality papers. We are also very grateful to the reviewers for their thorough and on time reviews of the papers.