Title :
Integral manifolds in H∞-theory
Author :
Flockerzi, Dietrich ; Knobloch, Hans W.
Author_Institution :
Math. Inst., Wurzburg Univ., Germany
Abstract :
The approach of this paper allows one to treat the `soft-constrained´ differential game associated with nonlinear H∞-problems on a rather elementary level. The solutions of the Isaacs´ PDE are obtained by the method of characteristics by integrating a Hamiltonian system of ODEs. The crucial elimination of the adjoint variable from the control law is taken care of by results in the theory of integral manifolds
Keywords :
H∞ control; differential games; nonlinear control systems; partial differential equations; H∞-theory; Hamiltonian system; Isaacs´ PDE; integral manifolds; nonlinear H∞-problems; soft-constrained differential game; Equations; Testing;
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.1994.411530
