Under-estimates of reachable sets for linear control systems

DOI10.1007/BF01968676zbMath0840.93010OpenAlexW2030895280MaRDI QIDQ1905810

Thomas L. Vincent, Danny Summers, Michael E. Fisher

Publication date: 22 January 1996

Published in: Dynamics and Control (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01968676

zbMATH Keywords

algorithmlinear systemsreachable set

Mathematics Subject Classification ID

Adaptive control/observation systems (93C40) Linear systems in control theory (93C05) Attainable sets, reachability (93B03)

Related Items

On the geometry of inner approximations to the set of null controllability for constrained linear systems ⋮ Outer ellipsoidal approximations of the reachable set at infinity for linear systems

Uses Software

• FSQP
• NLPQL

Cites Work

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• Estimating the effect of continual disturbances on discrete-time population models
• Estimating reachable sets for two-dimensional linear discrete systems
• A controllability minimum principle
• Reachable and controllable sets for two-dimensional, linear, discrete- time systems
• State estimation of linear dynamical systems under bounded control
• Hyperplane method for reachable state estimation for linear time- invariant systems
• Estimating Euclidean Reachable Sets for Retarded Functional Differential Equations With Bounded Delay
• Optimal technique for estimating the reachable set of a controlledn-dimensional linear system
• Estimating projections of the controllable set
• On the asymptotic stability of boundary trajectories
• Lyapunov approximation of reachable sets for uncertain linear systems
• Approximating reachable sets for a class of linear control systems†
• Approximating Reachable Sets for n-dimensional Linear Discrete Systems
• Estimating Reachable Sets