Estimates of reachable sets of control systems with bilinear–quadratic nonlinearities

DOI10.15826/umj.2015.1.004zbMath1396.93017OpenAlexW2321074387MaRDI QIDQ4581413

Oxana G. Matviychuk, T. F. Filippova

Publication date: 17 August 2018

Published in: Ural mathematical journal (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/umj4

zbMATH Keywords

estimationnonlinear control systemsimpulsive controlellipsoidal calculustrajectory tubes

Mathematics Subject Classification ID

Nonlinear systems in control theory (93C10) Attainable sets, reachability (93B03)

Related Items (6)

Ellipsoidal Estimates of Reachable Sets for Nonlinear Control Systems with Bilinear Uncertainty ⋮ Control Problems for Set-Valued Motions of Systems with Uncertainty and Nonlinearity ⋮ Estimation of Star-Shaped Reachable Sets of Nonlinear Control Systems ⋮ Viscosity solutions to evolution problems of star-shaped reachable sets ⋮ External estimates for reachable sets of a control system with uncertainty and combined nonlinearity ⋮ On polyhedral estimation of reachable sets in the ``extended space for discrete-time systems with uncertain matrices and integral constraints

Cites Work

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• Asymptotic theory of attainable sets to linear periodic impulsive control systems
• Dynamics and control of trajectory tubes. Theory and computation
• Properties of the optimal ellipsoids approximating the reachable sets of uncertain systems
• Algorithms to estimate the reachability sets of the pulse controlled systems with ellipsoidal phase constraints
• Identification of parametric models from experimental data. Transl. from an upd. French version by the authors, with the help of John Norton
• Ellipsoidal calculus for estimation and control
• Ellipsoidal approximation of the attainability sets of a linear system with an uncertain matrix.
• A differential equation for the gauge function of the star-shaped attainability set of a differential inclusion
• Ellipsoidal parameter or state estimation under model uncertainty
• Ellipsoidal bounds on reachable sets of dynamical systems with matrices subjected to uncertain perturbations
• Estimates of Trajectory Tubes of Uncertain Nonlinear Control Systems
• Linear Matrix Inequalities in System and Control Theory
• SET-VALUED DYNAMICS IN PROBLEMS OF MATHEMATICAL THEORY OF CONTROL PROCESSES
• An Extended Pontryagin Principle for Control Systems whose Control Laws Contain Measures

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