Continuous selections of trajectories of hybrid systems

DOI10.1016/S0167-6911(02)00185-8zbMath1003.93030WikidataQ60167546 ScholiaQ60167546MaRDI QIDQ1614854

Aristotle Arapostathis, Mireille E. Broucke

Publication date: 9 September 2002

Published in: Systems \& Control Letters (Search for Journal in Brave)

zbMATH Keywords

differential inclusionshybrid systemsSkorohod metricexistence of continuous selectionsnon-Zeno condition

Mathematics Subject Classification ID

Nonlinear systems in control theory (93C10) Discrete event control/observation systems (93C65) Ordinary differential inclusions (34A60) Control/observation systems governed by functional relations other than differential equations (such as hybrid and switching systems) (93C30)

Related Items (12)

Solutions to hybrid inclusions via set and graphical convergence with stability theory applications ⋮ Distance function design and Lyapunov techniques for the stability of hybrid trajectories ⋮ Solutions and reachable sets of hybrid dynamical systems: semicontinuous dependence on initial conditions, time, and perturbations ⋮ The existence and uniqueness of the solutions of the nonlinear on-off switched systems with switching at variable times ⋮ An impulsive dynamical systems framework for reset control systems ⋮ Generalized solutions to hybrid dynamical systems ⋮ Generic asymptotic error estimates for the numerical simulation of hybrid systems ⋮ Stability analysis for stochastic hybrid systems: a survey ⋮ Optimal mode-switching for hybrid systems with varying initial states ⋮ Topologies for hybrid solutions ⋮ Relaxation results for hybrid inclusions ⋮ Epsilon-Tubes and Generalized Skorokhod Metrics for Hybrid Paths Spaces

Cites Work

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• Representation of the attainable set for Lipschitzian differential inclusions
• Differential automata and their discrete simulators

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