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

Many dynamic systems in physics, chemistry, biology, engineering and inform ation sciences can be characterized by impulsive dynamics caused by abrupt jumps at certain instants during the process. These complex dynamic behavio ur can be modelled by singular and impulsive differential systems. This pap er formulates and studies a model of singular and impulsive interval uncert ain dynamic systems with time delay. Several fundamental issues such as glo bal exponential robust stability of such systems are established. A numeric al example is given for illustration and interpretation of the theoretical results.