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Stability circle criterion with spatial harmonic linearisation for nonlinear distributed-parameter systems

Stability circle criterion with spatial harmonic linearisation for nonlinear distributed-parameter systems

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© The Institution of Electrical Engineers
Published

A 1-dimensional, 1-distributed-parameter nonlinear system which exhibits a structure similar to that of the standard nonlinear control loop with lumped-parameter elements, is considered from the viewpoint of its input-output stability. An approached stability circle criterion, available in the context of a linearisation with respect to the distributed parameter, is stated.

Inspec keywords: distributed parameter networks; distributed parameter systems; nonlinear network analysis; linearisation techniques; stability criteria; nonlinear systems; stability

Other keywords: circle criterion; spatial harmonic linearisation; stability criteria; distributed parameter systems; linearisation techniques; nonlinear systems

Subjects: Nonlinear network analysis and design; Stability in control theory; Nonlinear control systems; Distributed parameter control systems

References

    1. 1)
      • W. Eckaus . (1965) , Studies in nonlinear stability theory.
    2. 2)
      • Franke, D.: `Harmonic balance for a class of distributed parameter systems', paper 2–5, IFAC symposium on control distributed parameter systems, 21–23 June 1971, Alta., Canada, University of Calgary, p. 2–5.
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