Abstract
Several models had been proposed for dynamic systems, and different criteria had been analyzed for such models such as Hamiltonian, synchronization, Lyapunov expansion, and stability. The geometry criteria play a significant part in analyzing dynamic systems and some study articles analyze the geometry of such topics. The synchronization and the complex-network control with specified topology; meanwhile, the exact topology may be unknown. In the present paper, and by making use of the adaptive control method, a proposed control method is developed to determine the actual topology. The basic idea in the proposed method is to receive evolution of the network-nodes
Highlights
Since the 1950s and 1960s, new sciences have begun to emerge and capture the curiosity and interest of scientists
The whole world is mobile systems or living machines that exist and continue in a certain medium and interact with other systems and have decay factors inside them and decay factors outside them remain resistant until the collapse of resistance in the end, decomposing its elements to join other systems still work
Several models had been proposed for dynamic systems, and different criteria had been analyzed for such models such as, Hamiltonian, synchronization, Lyapunov expansion, and stability
Summary
Since the 1950s and 1960s, new sciences have begun to emerge and capture the curiosity and interest of scientists. The whole world is mobile systems or living machines that exist and continue in a certain medium and interact with other systems (machines) and have decay factors inside them and decay factors outside them remain resistant until the collapse of resistance in the end, decomposing its elements to join other systems still work. It applies to everything from galaxies, stars, planets and not to humans and other living things. Systems in the world can be divided into open systems, closed systems (or) simple systems, complex systems (or) fixed systems and mobile systems [2]
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