Delay-dependent robust stability criteria for singular time-delay systems by delay-partitioning approach

H∞ filtering of discrete‐time switched singular systems with time‐varying delays

“…It is well known that singular systems, which are also referred to as descriptor systems, differential algebraic systems, implicit systems, or semistate‐space systems have been widely studied in the past three decades. They have a great amount of interests due to their extensive applications in various areas, such as economic systems, chemical processes, electrical networks, power systems, robotic systems, and they often appear in many other theoretical and practical research studies . In recent years, great number of the existing results in the literature have been reported for the analysis and synthesis of the problems of stability, stabilization and control of singular systems with time‐delay, especially in the case of time‐varying delay, because time‐delay often appears in the most of singular systems; see, e.g.…”

“…They have a great amount of interests due to their extensive applications in various areas, such as economic systems, chemical processes, electrical networks, power systems, robotic systems, and they often appear in many other theoretical and practical research studies. 6,[30][31][32][33] In recent years, great number of the existing results in the literature have been reported for the analysis and synthesis of the problems of stability, stabilization and control of singular systems with time-delay, especially in the case of time-varying delay, because time-delay often appears in the most of singular systems; see, e.g. References 6, 30-37 and the references therein.…”

“…In recent years, great number of the existing results in the literature have been reported for the analysis and synthesis of the problems of stability, stabilization and control of singular systems with time‐delay, especially in the case of time‐varying delay, because time‐delay often appears in the most of singular systems; see, e.g. References and the references therein. Furthermore, the filtering problem of singular time‐delay systems has been investigated in several works by proposing new approaches or by improving and developing some existing methods in the literature .…”

Congestion control with AQM and dynamic quantisers

“…Modelling the delay by partitions has been considered e.g. see [13–17]. In the paper [18], robust digital queue manager was designed.…”

Stabilization of Delta Operator Systems with Actuator Saturation via an Anti-Windup Compensator

“…The existence of delays can lead to instability and degrades the performances of systems. Thus, the time-delayed systems have been an active area of research for many years, and many effective methods have been developed, such as the delay-partitioning approach [1], the free weighting matrices technique [2,3], the Wirtinger inequality approach [4], and the generalized free-matrix-based integral inequality [5]. The input-output (IO) approach is also an appropriate approach for time-delayed systems, its main idea being to transform the original systems into two interconnection subsystems.…”