Advanced Control for Singular Systems with Applications

Singular systems, also referred to as descriptor systems, semistate systems, differential-algebraic systems, or generalized state-space systems, have been one of the main research topics in control theory for nearly half a century as such systems have broad applications in different areas, for example, in the Leontief dynamic model, electrical systems, and mechanical systems. Many classical control theories and new concepts have been developed for singular systems in the last twenty years such as controllability, impulsive control, and optimal control. In recent years, with the development of communication systems, computer network, and biological systems, some new trends in optimization and control theory for singular systems have emerged and evolved [1–4], which motivated this special issue. Control systems are developing fast with the advancement of new technologies as well as new systems such as network control, biological systems, and quantum control systems. As we know singular systems can be used to model dynamic systems in a more general framework and more attention should be paid to the development of singular systems with currently occurring applications. Recently, notable advances in biological systems, communication systems, and computer network have increasingly promoted some important new directions in the study of singular systems. This special issue is intended to present and discuss the new development in singular systems and their applications in different engineering areas. The focuses of this special issue are on the analysis and control of singularly perturbed systems, robust control of singular systems, stability analysis of nonlinear singular systems, singular Markovian systems, and applications of singular systems.