Asymptotic problems

  • Martino Bardi
  • Italo Capuzzo-Dolcetta
Part of the Systems & Control: Foundations & Applications book series (MBC)


In this chapter we consider several asymptotic problems in optimal control. Our approach is to pass to the limit as the relevant parameter goes to zero in the Hamilton-Jacobi-Bellman equation satisfied by the value function and characterize the limit value function as the viscosity solution of the limit equation.


Viscosity Solution State Constraint Singular Perturbation Problem Quasivariational Inequality Viscosity Subsolution 
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Copyright information

© Springer Science+Business Media New York 1997

Authors and Affiliations

  • Martino Bardi
    • 1
  • Italo Capuzzo-Dolcetta
    • 2
  1. 1.Dipartimento di Matematica P. ed A.Università di PadovaPadovaItaly
  2. 2.Dipartimento di MatematicaUniversità di Roma “La Sapienza”RomaItaly

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