Forward Invariance of Sets for Hybrid Dynamical Systems (Part I)

DOI10.1109/TAC.2018.2882158zbMath1482.93067arXiv1808.05129OpenAlexW2885835093MaRDI QIDQ5223748

Ricardo G. Sanfelice, Jun Chai

Publication date: 18 July 2019

Published in: IEEE Transactions on Automatic Control (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1808.05129

Mathematics Subject Classification ID

Sensitivity (robustness) (93B35) Attainable sets, reachability (93B03) Asymptotic properties of solutions to ordinary differential equations (34D05) Control/observation systems governed by functional relations other than differential equations (such as hybrid and switching systems) (93C30) Hybrid systems of ordinary differential equations (34A38)

Related Items (5)

Sufficient conditions for forward invariance and contractivity in hybrid inclusions using barrier functions ⋮ Linear temporal logic for hybrid dynamical systems: characterizations and sufficient conditions ⋮ Regularity of optimal solutions and the optimal cost for hybrid dynamical systems via reachability analysis ⋮ Set‐invariance‐based interpretations for the L₁ performance of nonlinear systems with non‐unique solutions ⋮ Hysteresis-based switching observers for linear systems using quadratic boundedness

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