On State Estimation Approaches for Uncertain Dynamical Systems with Quadratic Nonlinearity: Theory and Computer Simulations

DOI10.1007/978-3-540-78827-0_36zbMath1229.93016OpenAlexW1574905350MaRDI QIDQ3616837

Unnamed Author, T. F. Filippova

Publication date: 26 March 2009

Published in: Large-Scale Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-540-78827-0_36

Mathematics Subject Classification ID

Qualitative theory for ordinary differential equations (34C99) Attainable sets, reachability (93B03) Control/observation systems governed by ordinary differential equations (93C15)

Related Items (6)

Ellipsoidal Estimates of Reachable Sets for Nonlinear Control Systems with Bilinear Uncertainty ⋮ Estimates of reachable sets of control systems with nonlinearity and parametric perturbations ⋮ Control Problems for Set-Valued Motions of Systems with Uncertainty and Nonlinearity ⋮ Estimation of Star-Shaped Reachable Sets of Nonlinear Control Systems ⋮ Description of the attainable sets of one-dimensional differential inclusions ⋮ External estimates for reachable sets of a control system with uncertainty and combined nonlinearity

Cites Work

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• Properties of the optimal ellipsoids approximating the reachable sets of uncertain systems
• Equations of attainable set dynamics. I: Integral Funnel equation
• Error estimates for discretized differential inclusions
• Second order discrete approximations to strongly convex differential inclusions
• The Exponential Formula for the Reachable Set of a Lipschitz Differential Inclusion
• Second-Order Discrete Approximation to Linear Differential Inclusions
• Difference Methods for Differential Inclusions: A Survey

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