On Control Synthesis for Uncertain Differential Systems Using a Polyhedral Technique

DOI10.1007/978-3-662-43880-0_10zbMath1448.93086OpenAlexW1421167886MaRDI QIDQ5116350

Elena K. Kostousova

Publication date: 25 August 2020

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

Full work available at URL: https://doi.org/10.1007/978-3-662-43880-0_10

zbMATH Keywords

uncertain systemsinterval analysiscontrol synthesisdifferential systemsparallelotopespolyhedral estimates

Mathematics Subject Classification ID

Feedback control (93B52) Control/observation systems with incomplete information (93C41) Synthesis problems (93B50) Control/observation systems governed by ordinary differential equations (93C15)

Cites Work

• Bounded feedback controls for linear dynamic systems by using common Lyapunov functions
• Second order discrete approximations to strongly convex differential inclusions
• Ellipsoidal calculus for estimation and control
• Approximation schemes and finite-difference operators for constructing generalized solutions of Hamilton-Jacobi equations
• External estimates of the reachability sets of nonlinear controlled systems
• Control synthesis via parallelotopes: optimzation and parallel compuations
• On Ellipsoidal Techniques for Reachability Analysis. Part I: External Approximations
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