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Fractional differential equations describe many practical dynamical phenomena arising in engineering, physics, economy and science.
Impulsive fractional differential equations are used to describe many practical dynamical systems in many evolutionary processes models.
In particular, impulsive fractional evolution equations are used to describe many practical dynamical systems in many evolutionary processes models.
Since fractional differential equations efficiently describe many practical dynamical phenomena, they have attracted the attention of many researchers in the past years.
This is mostly due to the fact that fractional calculus provides an efficient and excellent instrument to describe many practical dynamical phenomena which arise in viscoelasticity, electrochemistry, control, porous media, electromagnetic, etc.
This is mostly due to the fact that fractional calculus provides an efficient and excellent instrument to describe many practical dynamical phenomena which arise in engineering and science such as physics, chemistry, biology, economy, viscoelasticity, electrochemistry, electromagnetic, control, porous media; see [8 13].
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It is better to describe many practical problems by fractional-order dynamical systems instead of integer-order ones.
In many practical applications of control engineering, the dynamical system under consideration is described by a compartmental network system.
The problem of decentralized control of large-scale interconnected dynamical systems has been receiving considerable attention, because there is a large number of large-scale interconnected dynamical systems in many practical control problems, e.g., transportation systems, power systems, communication systems, economic systems, social systems, and so on [11 14].
In many practical applications such as control engineering the dynamical system has additional symmetry, which adds difficulty in the analysis because event collisions generically occur at several points along the periodic orbit simultaneously.
Switched systems can be efficiently used to model many practical systems which are inherently multi-model in the sense that several dynamical systems are required to describe their behavior.
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