Differential automata and their discrete simulators
Non-Linear Analysis
Reachability analysis of dynamical systems having piecewise-constant derivatives
Theoretical Computer Science - Special issue on hybrid systems
Controlling chaos in a switched arrival system
Systems & Control Letters
Proceedings of the DIMACS/SYCON workshop on Hybrid systems III : verification and control: verification and control
Hybrid dynamical systems: robust control synthesis problems
Systems & Control Letters
Hybrid System Modeling and Autonomous Control Systems
Hybrid Systems
HSCC '00 Proceedings of the Third International Workshop on Hybrid Systems: Computation and Control
Decentralised coordination of groups of autonomous mobile robots
International Journal of Systems, Control and Communications
Robotics and Computer-Integrated Manufacturing
Relaxed stability and stabilization conditions for a class of switched fuzzy discrete systems
CCDC'09 Proceedings of the 21st annual international conference on Chinese Control and Decision Conference
Robust control for a class of uncertain time-delay switched fuzzy systems
CCDC'09 Proceedings of the 21st annual international conference on Chinese control and decision conference
Brief Stability and switching control design issues for a class of discrete time hybrid systems
Automatica (Journal of IFAC)
Computers & Mathematics with Applications
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We introduce a special class of hybrid dynamical systems: cyclic linear differential automata (CLDA). We show that any CLDA can be reduced to a linear discrete-time system with periodic coefficients. Any CLDA has no equilibrium points. Therefore, the simplest attractor in such system is a periodic trajectory. We call a CLDA globally stable if it has a periodic trajectory which attracts all other trajectories of the system. A necessary and sufficient condition for global stability of CLDA is given. We apply our result to prove global stability of a flexible manufacturing system modelled as a switched server system.