Title :
Common factors and controllability of nonlinear systems
Author :
Zheng, Yufan ; Willems, J.C. ; Zhang, Cishen
Author_Institution :
Inst. of Syst. Sci., East China Normal Univ., Shanghai, China
Abstract :
This paper presents a new necessary and sufficient condition for controllability of nonlinear systems. Over the differential field of the nonlinear system, a polynomial equation is derived to present the system behavior. The condition for controllability is then presented in terms of the common factor of the polynomial equation. This condition extends the well known result for linear system controllability to nonlinear systems, and provides an effective procedure for examining controllability of nonlinear systems
Keywords :
controllability; nonlinear control systems; common factors; controllability; necessary and sufficient condition; nonlinear system controllability; nonlinear systems; polynomial equation; Control systems; Controllability; Differential equations; Linear systems; Mathematics; Nonlinear control systems; Nonlinear equations; Nonlinear systems; Polynomials; Sufficient conditions;
Conference_Titel :
Decision and Control, 1997., Proceedings of the 36th IEEE Conference on
Conference_Location :
San Diego, CA
Print_ISBN :
0-7803-4187-2
DOI :
10.1109/CDC.1997.657763