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Multiple local solutions to nonlinear control processes

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Publication:911046
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DOI10.1007/BF00939645zbMath0697.49041OpenAlexW1987629446MaRDI QIDQ911046

Robert F. Brown, Pierluigi Zezza

Publication date: 1990

Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00939645


zbMATH Keywords

Leray-Schauder conditionNielsen fixed-point theoryperturbed linear control processesretractibility


Mathematics Subject Classification ID

Sensitivity, stability, well-posedness (49K40) Controllability (93B05) Nonlinear systems in control theory (93C10)


Related Items (4)

Nontrivial application of Nielsen theory to differential systems ⋮ Geometrical and topological methods in optimal control theory ⋮ Construction of multiply fixed \(n\)-valued maps ⋮ Multiple bounded solutions of differential inclusions: The Nielsen theory approach



Cites Work

  • Topological identification of multiple solutions to parametrized nonlinear equations
  • Global Controllability and Bang-Bang Steering of Certain Nonlinear Systems
  • Fixed-Point Methods in Nonlinear Control


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