The author argues that the population system of human societies, the highest form of lives on the planet, may serve as standard paradigm for study of complex systems. it turned out to be a well investigable, nonlinear...The author argues that the population system of human societies, the highest form of lives on the planet, may serve as standard paradigm for study of complex systems. it turned out to be a well investigable, nonlinearly controllable dynamic system, where census plays pivotal role. The theory has led China to succeed in checking the upsurge of population growth of 1970-80s and remains reliable basis for family-planning policy-making in all countries world-wide. It suggests that statistics could be a powerful tool in studying holistic properties of complex systems.展开更多
This paper presents some recent works on the control of dynamic systems,which have certain complex properties caused by singularity of the nonlinear structures,structure^varyings, or evolution process etc. First, we c...This paper presents some recent works on the control of dynamic systems,which have certain complex properties caused by singularity of the nonlinear structures,structure^varyings, or evolution process etc. First, we consider the structure singularity of nonlinear control systems. It was revealed that the focus of researches on nonlinear control theory is shifting from regular systems to singular systems. The singularity of nonlinear systems causes certain complexity. Secondly, the switched systems are considered. For such systems the complexity is caused by the structure varying. We show that the switched systems have significant characteristics of complex systems. Finally, we investigate the evolution systems. The evolution structure makes complexity, and itself is a proper model for complex systems.展开更多
文摘The author argues that the population system of human societies, the highest form of lives on the planet, may serve as standard paradigm for study of complex systems. it turned out to be a well investigable, nonlinearly controllable dynamic system, where census plays pivotal role. The theory has led China to succeed in checking the upsurge of population growth of 1970-80s and remains reliable basis for family-planning policy-making in all countries world-wide. It suggests that statistics could be a powerful tool in studying holistic properties of complex systems.
基金This research is supported partly by key project of China G1998020308.
文摘This paper presents some recent works on the control of dynamic systems,which have certain complex properties caused by singularity of the nonlinear structures,structure^varyings, or evolution process etc. First, we consider the structure singularity of nonlinear control systems. It was revealed that the focus of researches on nonlinear control theory is shifting from regular systems to singular systems. The singularity of nonlinear systems causes certain complexity. Secondly, the switched systems are considered. For such systems the complexity is caused by the structure varying. We show that the switched systems have significant characteristics of complex systems. Finally, we investigate the evolution systems. The evolution structure makes complexity, and itself is a proper model for complex systems.