On Polyhedral Estimates of Reachable Sets of Discrete-Time Systems with Uncertain Matrices and Integral Bounds on Additive Terms

DOI10.1007/978-3-030-40616-5_10OpenAlexW3005732910MaRDI QIDQ5122281

Elena K. Kostousova

Publication date: 22 September 2020

Published in: Lecture Notes in Computer Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-030-40616-5_10

zbMATH Keywords

discrete-time systemsparallelepipedsparallelotopespolyhedral estimatesreachable setsintegral constraintsuncertain matrices

Mathematics Subject Classification ID

Numerical analysis (65-XX)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Partial differential equation for evolution of star-shaped reachability domains of differential inclusions
• Dynamics and control of trajectory tubes. Theory and computation
• On the relationship between continuous- and discrete-time control systems
• Method for computing exterior and interior approximations to the reachability sets of bilinear differential systems
• Optimal impulsive control fo compartment models. I: Qualitative aspects
• Ellipsoidal calculus for estimation and control
• Ellipsoidal parameter or state estimation under model uncertainty
• Ellipsoidal bounds on reachable sets of dynamical systems with matrices subjected to uncertain perturbations
• On polyhedral estimates for trajectory tubes of dynamical discrete-time systems with multiplicative uncertainty
• State estimation for linear impulsive differential systems through polyhedral techniques
• Dynamic programming for impulse feedback and fast controls. The linear systems case
• Measure-controlled dynamic systems: polyhedral approximation of their reachable set boundary
• The approximation of reachable sets of control systems with integral constraint on controls
• Reachable Sets of Impulsive Control System with Cone Constraint on the Control and Their Estimates
• Discrete Approximation of Impulsive Differential Inclusions
• State Estimation for Control Systems with a Multiplicative Uncertainty through Polyhedral Techniques

This page was built for publication: On Polyhedral Estimates of Reachable Sets of Discrete-Time Systems with Uncertain Matrices and Integral Bounds on Additive Terms