Title :
Structural stability of Filippov automata
Author :
Broucke, Mireille ; Pugh, Charles ; Simic, Slobodan
Author_Institution :
Dept. of Electr. & Comput. Eng., Toronto Univ., Ont., Canada
Abstract :
We introduce Filippov automata which are based on Filippov´s theory (1988) of dynamical systems governed by piecewise smooth vector fields. We develop some of the global and generic aspects of the dynamics of Filippov automata. In particular, we establish a generic structural stability theorem for two dimensional Filippov automata, which is a natural generalization of Peixoto´s (1960) classic result
Keywords :
automata theory; stability; state-space methods; Filippov automata; dynamical system; dynamical systems; piecewise smooth vector fields; singularity; state space; structural stability; Automata; IEEE news; Mathematics; Orbits; State-space methods; Structural engineering; USA Councils;
Conference_Titel :
Decision and Control, 2001. Proceedings of the 40th IEEE Conference on
Conference_Location :
Orlando, FL
Print_ISBN :
0-7803-7061-9
DOI :
10.1109/.2001.980559
