SIAM Journal on Control and Optimization, Vol.44, No.5, 1677-1690, 2005
Applications of Lefschetz numbers in control theory
We develop some applications of techniques of the Lefschetz coincidence theory in control theory. The topics are existence of equilibria and their robustness, and controllability and its robustness.
Keywords:control system;equilibrium;controllability;robustness;fixed point theory;Lefschetz number;coincidence point;homology theory;algebraic topology