Optimal technique for estimating the reachable set of a controlledn-dimensional linear system

DOI10.1080/00207729008910401zbMath0703.93011OpenAlexW2001950210MaRDI QIDQ3483146

Danny Summers, Gary C. W. Sabin

Publication date: 1990

Published in: International Journal of Systems Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207729008910401

zbMATH Keywords

Lyapunov methodreachable setnon-linear optimizationestimate of the reachable set

Mathematics Subject Classification ID

Related Items (6)

Performance deterioration in optimum linear systems ⋮ Under-estimates of reachable sets for linear control systems ⋮ Disturbed nonlinear multispecies models in ecology ⋮ Reachability analysis of rational eigenvalue linear systems ⋮ Outer ellipsoidal approximations of the reachable set at infinity for linear systems ⋮ State estimation of linear dynamical systems under bounded control

Uses Software

• REDUCE

Cites Work

• Unnamed Item
• On the intersection of controllable and reachable sets
• A controllability minimum principle
• Avoidance control
• Return time and vulnerability for a food chain model
• Caratheodory-Hamilton-Jacobi theory in optimal control
• Lyapunov approximation of reachable sets for uncertain linear systems
• Approximating reachable sets for a class of linear control systems†

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