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2001, Volume 1, Issue 4: 443-462. Doi: 10.3934/dcdsb.2001.1.443
This issue Previous Article Synchronization in directionally coupled systems: Some rigorous results Next Article Structural stability and continuous dependence of solutions of thermoelasticity of type III

An infinite horizon optimal control problem for some switching systems

  • 1.

    Dipartimento di Matematica, Universitá di Trento, Via Sommarive, 14, 38050 Povo di Trento (TN)

Received:  November 30, 2000
Revised:  June 30, 2001
Published:  October 2001
Abstract Related Papers Cited by
    Abstract
  • We study an infinite horizon optimal control problem for a system with two state variables. They are respectively the input and the output of either a delayed relay or a finite sum of delayed relays. The system exhibits hysteresis and the output of the relay is discontinuous. We consider two different switching rules for the relay. We characterize the value functions by the unique viscosity solution of some suitably coupled Dirichlet problems for Hamilton-Jacobi equations.
    Mathematics Subject Classification: 47J40, 49J15, 49L25.

    Citation:
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