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Kalman's conjecture or Kalman problem is a disproved conjecture on absolute stability of nonlinear control system with one scalar nonlinearity, which belongs to the sector of linear stability. Kalman's conjecture is a strengthening of Aizerman's conjectureand is a special case of Markus–Yamabe conjecture. This conjecture was proven false but led to the (valid) sufficient criteria on absolute stability.

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  • Kalman's conjecture or Kalman problem is a disproved conjecture on absolute stability of nonlinear control system with one scalar nonlinearity, which belongs to the sector of linear stability. Kalman's conjecture is a strengthening of Aizerman's conjectureand is a special case of Markus–Yamabe conjecture. This conjecture was proven false but led to the (valid) sufficient criteria on absolute stability. (en)
  • 卡爾曼猜想(Kalman's conjecture)或卡爾曼問題(Kalman problem)是已找到反例的猜想,是針對非線性控制系統,其中有一個純量非線性元素,此系統在線性穩定區間內的絕對穩定性。卡爾曼猜想是阿依熱爾曼猜想的加強版本,也是的特例。卡爾曼猜想雖已證實為否,不過帶出了(有效的)絕對穩定性的充份準則。 (zh)
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  • Kalman's conjecture or Kalman problem is a disproved conjecture on absolute stability of nonlinear control system with one scalar nonlinearity, which belongs to the sector of linear stability. Kalman's conjecture is a strengthening of Aizerman's conjectureand is a special case of Markus–Yamabe conjecture. This conjecture was proven false but led to the (valid) sufficient criteria on absolute stability. (en)
  • 卡爾曼猜想(Kalman's conjecture)或卡爾曼問題(Kalman problem)是已找到反例的猜想,是針對非線性控制系統,其中有一個純量非線性元素,此系統在線性穩定區間內的絕對穩定性。卡爾曼猜想是阿依熱爾曼猜想的加強版本,也是的特例。卡爾曼猜想雖已證實為否,不過帶出了(有效的)絕對穩定性的充份準則。 (zh)
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  • Kalman's conjecture (en)
  • 卡爾曼猜想 (zh)
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