Construction of the attainability set of a brockett integrator

DOI10.1016/j.jappmathmech.2004.09.001zbMath1106.49035OpenAlexW2062758293MaRDI QIDQ3378146

V. N. Ushakov, S. A. Vdovin, Alexander Tarasyev

Publication date: 30 March 2006

Published in: Journal of Applied Mathematics and Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jappmathmech.2004.09.001

zbMATH Keywords

attainability set constructionoptimality trajectory

Mathematics Subject Classification ID

Optimality conditions for minimax problems (49K35) Optimality conditions for problems involving ordinary differential equations (49K15)

Related Items (10)

On the convexity of the reachable set with respect to a part of coordinates at small time intervals ⋮ On the parametric dependence of the volume of integral funnels and their approximations ⋮ Control systems depending on a parameter: reachable sets and integral funnels ⋮ THE LIMITS OF APPLICABILITY OF THE LINEARIZATION METHOD IN CALCULATING SMALL–TIME REACHABLE SETS ⋮ CONTROL SYSTEM DEPENDING ON A PARAMETER ⋮ Reachable sets and integral funnels of differential inclusions depending on a parameter ⋮ Construction of attainable sets and integral funnels of nonlinear controlled systems in the Matlab environment ⋮ Speed-Gradient Control of the Brockett Integrator ⋮ On the geometric construction of a stabilizing time-invariant state feedback controller for the nonholonomic integrator ⋮ On the geometry of reachable sets for control systems with isoperimetric constraints

Cites Work

• Robust stabilization of the angular velocity of a rigid body
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