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Controllability and observability for impulsive systems in complex fields. (English) Zbl 1188.93019
Summary: Since the classical example of complex system is the quantum system which is one of the foci of ongoing research, in this paper, the issue of controllability and observability for a class of time-varying impulsive systems defined in complex fields, to be brief, complex time-varying impulsive systems, is addressed. Several sufficient and necessary conditions for state controllability and observability of such systems are established. Meanwhile, corresponding criteria for complex linear time-invariant impulsive systems are also obtained.
93C05Linear control systems
81Q93Quantum control
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