On the boundedness of outer polyhedral estimates for reachable sets of linear systems

DOI10.1134/S0965542508060043zbMath1164.93309OpenAlexW2016171557MaRDI QIDQ3545188

Elena K. Kostousova

Publication date: 9 December 2008

Published in: Computational Mathematics and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0965542508060043

zbMATH Keywords

linear systemspolyhedral estimates

Mathematics Subject Classification ID

Attainable sets, reachability (93B03)

Related Items (7)

The method of uniform monotonous approximation of the reachable set border for a controllable system ⋮ Algorithm of uniform filling of nonlinear dynamic system reachable set based on maximin problem solution ⋮ AN ALGORITHM FOR COMPUTING BOUNDARY POINTS OF REACHABLE SETS OF CONTROL SYSTEMS UNDER INTEGRAL CONSTRAINTS ⋮ On polyhedral estimates for reachable sets of discrete-time systems with bilinear uncertainty ⋮ External polyhedral estimates of reachable sets of discrete-time systems with integral bounds on additive terms ⋮ Isoperimetric optimality criterion in the method of ellipses for continuous controllable second-order systems ⋮ On two-sided approximations of reachable sets of control systems with geometric constraints on the controls

Cites Work

• Ellipsoidal calculus for estimation and control
• State estimation for dynamic systems via parallelotopes optimization and parallel computations
• On Ellipsoidal Techniques for Reachability Analysis. Part I: External Approximations
• The matrix minimum principle
• Bounding the states of systems with unknown-but-bounded disturbances
• Hybrid Systems: Computation and Control
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: On the boundedness of outer polyhedral estimates for reachable sets of linear systems