On Path-Complete Lyapunov Functions: Geometry and Comparison

DOI10.1109/TAC.2018.2863380zbMath1482.93442arXiv1712.00381OpenAlexW2963148864MaRDI QIDQ5223699

Raphaël M. Jungers, Nikolaos Athanasopoulos, Matthew Philippe, David Angeli

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/1712.00381

Mathematics Subject Classification ID

Applications of mathematical programming (90C90) Formal languages and automata (68Q45) Lyapunov and storage functions (93D30) Lyapunov and other classical stabilities (Lagrange, Poisson, (L^p, l^p), etc.) in control theory (93D05) Control/observation systems governed by functional relations other than differential equations (such as hybrid and switching systems) (93C30)

Related Items (5)

Graph-based conditions for feedback stabilization of switched and LPV systems ⋮ Characterization of the ordering of path-complete stability certificates with addition-closed templates ⋮ Max-min Lyapunov functions for switched systems and related differential inclusions ⋮ Continuous-time switched systems with switching frequency constraints: path-complete stability criteria ⋮ Comparison of path-complete Lyapunov functions via template-dependent lifts

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