Examples of nonclassical feedback control problems

Alberto Bressan, Deling Wei

Research output: Contribution to journalArticlepeer-review


We consider a control system with "nonclassical" dynamics: ẋ = f(t, x, u, Dxu), where the right hand side depends also on the first order partial derivatives of the feedback control function. Given a probability distribution on the initial data, we seek a feedback u = u(t, x) which minimizes the expected value of a cost functional. Various relaxed formulations of this problem are introduced. In particular, three specific examples are studied, showing the equivalence or non-equivalence of these approximations.

Original languageEnglish (US)
Pages (from-to)249-271
Number of pages23
JournalNonlinear Differential Equations and Applications
Issue number2
StatePublished - Apr 2013

All Science Journal Classification (ASJC) codes

  • Analysis
  • Applied Mathematics


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