Second, many real-world dynamic systems are of lower-triangular form [6, 7], and some general systems can be transformed to lower-triangular form via mathematical method [8].
The theory of impulsive dynamic equations is generally thought to provide a natural framework for mathematical modeling of many real world phenomena such as chemotherapy, population dynamics, optimal control, ecology, industrial robotics, physics phenomena, etc.
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Some researchers focus on typical time delays named leakage delays which may exist in many real systems and also have a great impact on the dynamic systems.
It is well known that the theory of impulsive dynamic equations provides a natural framework for mathematical modeling of many real world phenomena.
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