Robust stability of composite singular and impulsive interval uncertain dynamic systems with time delay

Many dynamic systems in physics, chemistry, biology, engineering and information sciences can be characterized by impulsive dynamics caused by abrupt jumps at certain instants during the process. These complex dynamic behaviour can be modelled by singular and impulsive differential systems. This paper formulates and studies a model of singular and impulsive interval uncertain dynamic systems with time delay. Several fundamental issues such as global exponential robust stability of such systems are established. A numerical example is given for illustration and interpretation of the theoretical results.