Self-adaptability in complex systems
Ting Li · Journal of Zhejiang Normal University · 2006
Self-adaptability of complex systems was studied.Self-adaptability means that the systems can change its characteristics automatically so that it adapts to the change of environment.Biological system has this kind of properties very obviously.All complex systems have some uncertainness in varying degrees.These uncertainness comes from the external environment,the structure and parameters of systems.Self-adaptability of complex systems shows that when the environment of system was changed,system would make self-adaptability reaction through adjusting its structure and parameters in order that the system could makes correct and reasonable response to the external environment.Taking Lorenz system as an example to explain this kind of self-adaptability.For Lorenz system,through adding controllers and adjusting the parameters,and then comparing with the original ones,an error system can be obtained.When the controllers and parameters satisfy some conditions,Lyapunov function of error system can be constructed.Therefore it was showed that zero solution of error system was global asymptotic stable.Hence synchronization can be achieved for the adjusted system and original system.