External estimates of the reachability sets of nonlinear controlled systems

DOI10.1134/S0005117912030046zbMath1307.93064MaRDI QIDQ2261737

Mikhail Gusev

Publication date: 13 March 2015

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

Mathematics Subject Classification ID

Nonlinear systems in control theory (93C10) Attainable sets, reachability (93B03) Control/observation systems governed by ordinary differential equations (93C15)

Related Items (9)

Matrix resolving functions in game problems of dynamics ⋮ On elimination of state constraints in the construction of reachable sets ⋮ On the polyhedral method of solving problems of control strategy synthesis ⋮ On the attainability problem under state constraints with piecewise smooth boundary ⋮ On Control Synthesis for Uncertain Differential Systems Using a Polyhedral Technique ⋮ Internal approximations of reachable sets of control systems with state constraints ⋮ External estimates for reachable sets of a control system with uncertainty and combined nonlinearity ⋮ On reachability analysis for nonlinear control systems with state constraints ⋮ On control synthesis for uncertain dynamical discrete-time systems through polyhedral techniques

Cites Work

• Three-dimensional reachability set for a nonlinear control system
• Overapproximating reachable sets by Hamilton-Jacobi projections
• Estimates of Trajectory Tubes of Uncertain Nonlinear Control Systems
• On Ellipsoidal Techniques for Reachability Analysis. Part I: External Approximations
• Dynamic optimization for reachability problems.
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