A combinatorial game approach to state nullification by hybrid feedback
Gera Weiss · 2007
We define a combinatorial game such that a winning strategy for it gives a logic-based feedback strategy that steers the state of single-input-single-output, discrete-time, time-varying, n-step controllable systems to the origin in a finite number of steps (where n is the dimension of the system). The feedback strategy is robust with respect to disturbances that satisfy a matching condition. A winning strategy for the game is given and a construction of a hybrid feedback strategy that uses it is displayed.