Results from classical dynamical systems are generalized to hybrid dynamical systems. The concept of limit set is introduced for hybrid systems and is used to prove new results on...
Jun Zhang, Karl Henrik Johansson, John Lygeros, Sh...
Abstract. We introduce and study hybrid automata with strong resets. They generalize o-minimal hybrid automata, a class of hybrid automata which allows modeling of complex continuo...
Patricia Bouyer, Thomas Brihaye, Marcin Jurdzinski...
Abstract. The use of hybrid dynamical systems to model gene regulation is impelled by the switch-like behaviour of the latter. Piecewise affine differential equations is one of the...
In this paper, timed Petri nets are used to model and control hybrid systems. Petri nets are used instead of finite automata primarily because of the advantages they offer in de...
Xenofon D. Koutsoukos, Kevin X. He, Michael D. Lem...
A problem of great interest in the control of hybrid systems is the design of least restrictive controllers for reachability specifications. Controller design typically uses game t...