access icon free Stability analysis of complex-valued impulsive system

Since quantum system, which is one of the foci of ongoing research, is the classical example of complex-valued systems, in this study, the stability of complex-valued impulsive system is addressed. Taking advantage of the Lyapunov function in the complex fields, the stability criteria of complex-valued impulsive system are established, which not only generalises the stability criteria on real-valued impulsive system, but also greatly reduces the complexity of analysis and computation. Moreover, as an application, a linear impulsive feedback controller for the complex-valued Lü system is designed.

Inspec keywords: Lyapunov methods; control system synthesis; discrete systems; feedback; linear systems; computational complexity; stability criteria

Other keywords: computational complexity reduction; Lyapunov function; complex-valued impulsive system; stability criteria; real-valued impulsive system; quantum system; stability analysis; linear impulsive feedback controller design; complex-valued Lu system

Subjects: Control system analysis and synthesis methods; Stability in control theory; Discrete control systems

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