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The Analysis of the Dynamic Equilibrium State in Linear Control System
引用本文:WANG Li Dept.of Electrical and Automation,Yangzhou University,Yangzhou 225009,China. The Analysis of the Dynamic Equilibrium State in Linear Control System[J]. 武汉理工大学学报, 2006, 0(Z3)
作者姓名:WANG Li Dept.of Electrical and Automation  Yangzhou University  Yangzhou 225009  China
作者单位:WANG Li Dept.of Electrical and Automation,Yangzhou University,Yangzhou 225009,China
基金项目:Supported by the National Science Foundation of China(60274056)
摘    要:This paper discusses not a point of equilibrium to free system,but a certain family of equilibrium state of dynami- cal system with inputs.This equilibrium state depends on the input,so it is called the dynamic equilibrium state.The expression of the dynamic equilibrium state can be given under some certain condition.With deductions and proofs in linear control system,es- tablish the expression of the dynamic equilibrium state in two cases,where the linear systems are nonsingular or singular.Also pre- sent the concept and the condition of the controllability of the dynamic equilibrium state.The controllability of the dynamic equilib- rium state is different from the controllability of the state to system,but these two are closely related.


The Analysis of the Dynamic Equilibrium State in Linear Control System
WANG Li Dept.of Electrical and Automation,Yangzhou University,Yangzhou ,China. The Analysis of the Dynamic Equilibrium State in Linear Control System[J]. Journal of Wuhan University of Technology, 2006, 0(Z3)
Authors:WANG Li Dept.of Electrical  Automation  Yangzhou University  Yangzhou   China
Affiliation:WANG Li Dept.of Electrical and Automation,Yangzhou University,Yangzhou 225009,China
Abstract:This paper discusses not a point of equilibrium to free system,but a certain family of equilibrium state of dynami- cal system with inputs.This equilibrium state depends on the input,so it is called the dynamic equilibrium state.The expression of the dynamic equilibrium state can be given under some certain condition.With deductions and proofs in linear control system,es- tablish the expression of the dynamic equilibrium state in two cases,where the linear systems are nonsingular or singular.Also pre- sent the concept and the condition of the controllability of the dynamic equilibrium state.The controllability of the dynamic equilib- rium state is different from the controllability of the state to system,but these two are closely related.
Keywords:linear system  input  dynamic equilibrium  state  controllability
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