Title :
Stabilization of nonlinear quadratic systems
Author :
Bose, Anil K. ; Cover, Alan S. ; Reneke, James A.
Author_Institution :
Dept. of Math. Sci., Clemson Univ., SC, USA
Abstract :
The authors consider the nonlinear quadratic control system Mdw/dt=Aw+f(w)+g(w, u), where M and A are 3×3 matrices and, for a fixed m-vector u, f(w) and g(w,u) are quadratic in the 3-vector w=(x, y, z)´. Several theorems and examples that explore the relationship between the quadratic function and the matrices that are involved are presented
Keywords :
Hermitian matrices; nonlinear control systems; nonlinear dynamical systems; stability; 3×3 matrices; nonlinear quadratic control system; nonlinear quadratic systems; quadratic function; stabilisation; Control systems; Nonlinear control systems; Nonlinear dynamical systems; Stability; Vectors;
Conference_Titel :
System Theory, 1993. Proceedings SSST '93., Twenty-Fifth Southeastern Symposium on
Conference_Location :
Tuscaloosa, AL
Print_ISBN :
0-8186-3560-6
DOI :
10.1109/SSST.1993.522793
