Singularities of attainability domains with a pulse-limited control action

DOI10.3103/S0025654418050035zbMath1467.93026OpenAlexW2918457765MaRDI QIDQ2226132

D. I. Bugrov, Alexander M. Formalskii

Publication date: 11 February 2021

Published in: Mechanics of Solids (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3103/s0025654418050035

zbMATH Keywords

ruled surfaceedgeattainability domaintriple integratorboundary of attainability domainconical angular point

Mathematics Subject Classification ID

Linear systems in control theory (93C05) Time-scale analysis and singular perturbations in control/observation systems (93C70) Attainable sets, reachability (93B03)

Related Items (1)

Change of the attainability set after transition to a reduced system

Cites Work

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• Properties of the optimal ellipsoids approximating the reachable sets of uncertain systems
• On the geometric properties of reachable and controllable sets for linear discrete systems
• Reachability and controllability of discrete-time systems under control actions bounded in magnitude and norm
• Explicit formulas for the ellipsoids approximating attainability domains
• On the corner points of the boundaries of regions of attainability
• Time dependence of the attainability regions of third order systems

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