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Counterexamples for sufficient and necessary conditions of internal stability

Counterexamples for sufficient and necessary conditions of internal stability

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The authors discuss sufficient and necessary conditions guaranteeing the internal stability of systems. Counterexamples are constructed, and it is shown that conditions given by some current literature are not sufficient. The rigorous version is then given.

Inspec keywords: poles and zeros; feedback; control system analysis; closed loop systems; robust control

Other keywords: feedback control; necessary conditions; closed loop systems; poles; zeros; internal stability; sufficient conditions

Subjects: Control system analysis and synthesis methods; Stability in control theory

References

    1. 1)
      • M. VIDYASAGAR . (1985) , Control system synthesis: A factorization approach.
    2. 2)
      • J.S. Freudenberg , J.S. Looze . Right half plane poles and zeros and design tradeoffs in feedback systems. IEEE Trans. Autom. Control , 555 - 565
    3. 3)
      • M. Morari , E. Zafirou . (1989) Robust process control.
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