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Asymptotic stability of differential multipass processes

Asymptotic stability of differential multipass processes

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© The Institution of Electrical Engineers
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The recently developed concept of the asymptotic stability of linear multipass processes is applied to a general form of a linear time-invariant model. The analysis indicates that pass initial or boundary conditions have a significant and measurable effect on system stability. The models include differential-delay systems as a special case in which the derived stability criterion reduces to known frequency domain results.

Inspec keywords: stability; modelling; linear systems

Other keywords: system stability; linear systems; stability criterion; differential multipass processes; boundary conditions; asymptotic stability; modelling; linear multipass processes

Subjects: Stability in control theory

References

    1. 1)
      • J. Dieudonne . (1969) , Foundations of modern analysis.
    2. 2)
      • J.B. Edwards . Wider applications of multipass systems theory. Pt.1: Multimachine and multicell systems. Proc.IEE. , 5 , 447 - 452
    3. 3)
      • J.B. Edwards . Wider applications of multipass systems theory. Pt.2: Controlled distributed processes. Proc.IEE. , 5 , 453 - 459
    4. 4)
      • J.B. Edwards . Stability problems in the control of multipass processes. Proc.IEE. , 11 , 1425 - 1432
    5. 5)
      • J.B. Edwards . Longitudinal interactions in multipass processes. Proc.IEE. , 4 , 385 - 392
    6. 6)
      • D.H. Owens . Stability of linear multipass processes. Proc.IEE. , 11 , 1079 - 1082
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