Algorithms to estimate the reachability sets of the pulse controlled systems with ellipsoidal phase constraints

DOI10.1134/S000511791109013XzbMath1230.93004MaRDI QIDQ650039

T. F. Filippova, O. G. Matviichuk

Publication date: 25 November 2011

Published in: Automation and Remote Control (Search for Journal in Brave)

zbMATH Keywords

evolutionary equationsnonlinear dynamic systemellipsoidal estimates of reachability setsordinary differential inclusion

Mathematics Subject Classification ID

Related Items (8)

Estimates of reachable sets for systems with impulsive control, uncertainty and nonlinearity ⋮ On the polyhedral method of solving problems of control strategy synthesis ⋮ Estimates of reachable sets of control systems with bilinear–quadratic nonlinearities ⋮ Impulsive input-to-state stabilization of an ensemble ⋮ Internal Ellipsoidal Estimates of Reachable Set of Impulsive Control Systems Under Ellipsoidal State Bounds and with Cone Constraint on the Control ⋮ AN ALGORITHM FOR COMPUTING BOUNDARY POINTS OF REACHABLE SETS OF CONTROL SYSTEMS UNDER INTEGRAL CONSTRAINTS ⋮ CONTROL AND ESTIMATION FOR A CLASS OF IMPULSIVE DYNAMICAL SYSTEMS ⋮ External estimates for reachable sets of a control system with uncertainty and combined nonlinearity

Cites Work

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• Pulse control problems under ellipsoidal constraints: Constraint parameters sensitivity
• Equations of attainable set dynamics. I: Integral Funnel equation
• External ellipsoidal estimates of the attainability sets of differential impulse systems
• State estimation for linear impulsive differential systems through polyhedral techniques
• On Optimal Control Problem for the Bundle of Trajectories of Uncertain System
• An Extended Pontryagin Principle for Control Systems whose Control Laws Contain Measures

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