The Boundedness Analysis Of Several Systems Via Different Control Strategies

The theoretical exploration and application practice of system dynamics based on different control strategies have been a hot research topic in recent years.During this period,many original research methods and fruitful research results have emerged,which have promoted the development of system science and electronic information.The conditions for the boundedness of the system are different under different control strategies.The boundedness results explored in this paper enrich the original theory and have certain application value.In this paper,the ultimate boundedness of two classes of systems under impulsive control and the boundedness of a class of systems under event-triggered control are studied.The main contents include three parts.In the first part(Chapter 2),based on the method of impulsive control,the ultimate boundedness problem of non-autonomous complex-valued dynamic complex networks with distributed delays is studied by dynamically controlling the nodes.Sufficient conditions for the ultimate boundedness and asymptotic stability of the system under impulsive control are obtained by using the inequality scaling method,which extend the related results.In the second part(Chapter 3),based on the properties of tensor product and the theory of time scales,sufficient conditions for the ultimate boundedness and asymptotic stability of non-autonomous complex dynamical networks on time scales under impulsive control are obtained.It provides a unified framework for the ultimate boundedness of complex dynamical networks in continuous,discrete and mixed time domains,and the results can be applied to Lurie systems and driverless vehicles.In the third part(Chapter 4),the global uniform boundedness of systems is studied based on event-driven observers on time scales.The system studied in this chapter is the unification and generalization of the existing continuous-time and discrete-time event-driven observer systems.The main results give a new method to estimate the minimum inter-event time on a time scale.For the system with discrete-time detectors,the event-driven global uniform boundedness is also given on a class of acceptable time scales.