Title :
Nonlinear inner-outer factorization
Author :
Van der Schaft, A.J. ; Ball, J.A.
Author_Institution :
Dept. of Appl. Math., Twente Univ., Enschede, Netherlands
Abstract :
It is shown how the method for inner-outer factorization of stable nonlinear state space systems as put forward in van der Schaft (1992) may be extended to the non-invertible case by replacing a Hamilton-Jacobi equation by a dissipation inequality. The construction of the outer factor is based on the factorization of this inequality
Keywords :
matrix algebra; nonlinear control systems; stability; state-space methods; Hamilton-Jacobi equation; dissipation inequality; nonlinear inner-outer factorization; stable nonlinear state space systems; Control design; Control theory; Linear matrix inequalities; Linear systems; Mathematics; Nonlinear equations; Nonlinear systems; State-space methods;
Conference_Titel :
Decision and Control, 1994., Proceedings of the 33rd IEEE Conference on
Conference_Location :
Lake Buena Vista, FL
Print_ISBN :
0-7803-1968-0
DOI :
10.1109/CDC.1994.411528
