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Inverse optimal control problem for linear discrete-time systems

Inverse optimal control problem for linear discrete-time systems

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In the letter, the inverse control problem for linear discretetime systems is considered. A criterion is stated for the optimality of a linear feedback control for single-input systems. Differences with continuous-time systems are discussed.

References

    1. 1)
      • R.E. Kalman . When is a linear system optimal?. Trans. ASME J. Basic Eng. , 51 - 60
    2. 2)
      • B.D.O. Anderson , J.B. Moore . (1971) , Linear optimal control.
    3. 3)
      • W.R. Perkins , J.B. Cruz . Feedback properties of linear regulators. IEEE Trans. , 659 - 664
    4. 4)
      • H. Kwakernaak , R. Sivan . (1972) , Linear optimal control systems.
    5. 5)
      • R.W. Brockett . (1970) , Finite dimensional linear systems.
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