On Ellipsoidal Techniques for Reachability Analysis. Part I: External Approximations

From MaRDI portal
Publication:4806371

DOI10.1080/1055678021000012426zbMath1017.93008OpenAlexW2163561970MaRDI QIDQ4806371

Pravin P. Varaiya, Alexander B. Kurzhanski

Publication date: 18 August 2003

Published in: Optimization Methods and Software (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/1055678021000012426




Related Items (34)

Reachability analysis of linear dynamic systems with constant, arbitrary, and Lipschitz continuous inputsAlexander Borisovich Kurzhanskiĭ (on the occasion of his 75th birthday)On the polyhedral method of solving problems of control strategy synthesisAttainability problems under stochastic perturbationsThe diagnostics of safety zones in motion planningAleksandr Borisovich Kurzhanski (A tribute in honor of his seventieth birthday)Estimates for attainability sets of control systemsA numerical sufficiency test for the asymptotic stability of linear time-varying systemsOn guaranteeing point capture in linear \(n\)-on-1 endgame interception engagements with bounded controlsNumerical algorithm for solving the problem of synthesis of impulse controls under uncertaintyError bounds for initial value problems by optimizationMethod for computing exterior and interior approximations to the reachability sets of bilinear differential systemsOn Control Synthesis for Uncertain Differential Systems Using a Polyhedral TechniqueOn the boundedness and unboundedness of external polyhedral estimates for reachable sets of linear differential systemsAN ALGORITHM FOR COMPUTING BOUNDARY POINTS OF REACHABLE SETS OF CONTROL SYSTEMS UNDER INTEGRAL CONSTRAINTSOptimization of output feedback control under set-membership uncertaintyOn the boundedness of outer polyhedral estimates for reachable sets of linear systemsOn the damping of a ladder-type vibration system subjected to uncertain perturbationsWorst-case control policies for (terminal) linear-quadratic control problems under disturbancesComputation of projections of reachability tubes of linear controlled systems based on ellipsoidal calculus techniquesEllipsoidal methods for dynamics and control. IGuaranteed estimation of the parameters of nonlinear continuous-time models: Contributions of interval analysisParabolic set simulation for reachability analysis of linear time-invariant systems with integral quadratic constraintExternal estimates of the reachability sets of nonlinear controlled systemsApproximation of convex bodies by multiple objective optimization and an application in reachable setsApproximation of reachable sets by direct solution methods for optimal control problemsReachability analysis of continuous-time piecewise affine systemsTheory and computational techniques for analysis of discrete-time control systems with disturbancesThe Reach-and-Evolve Algorithm for Reachability Analysis of Nonlinear Dynamical SystemsRobust stochastic tracking for discrete-time models: designing of ellipsoid where random trajectories converge with probability oneSet-membership estimation based on ellipsoid bundles for discrete-time LPV descriptor systemsContinuity and computability of reachable setsDifferential equations in control synthesis problems. I: Ordinary systemsOn the construction of nonconvex approximations to reach sets of piecewise linear systems



Cites Work


This page was built for publication: On Ellipsoidal Techniques for Reachability Analysis. Part I: External Approximations