Kalman's conjecture or Kalman problem is a disproved conjecture on absolute stability of nonlinear control system with one scalar nonlinearity, which...
6 KB (626 words) - 23:33, 4 June 2024
convergence theorems. Analog of the conjecture for nonlinear control system with scalar nonlinearity is known as Kalman's conjecture. Let f : R n → R n {\displaystyle...
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positivity, Aizerman's conjecture is known to hold true. Strengthening of Aizerman's conjecture is Kalman's conjecture (or Kalman problem) where in place...
6 KB (690 words) - 20:00, 14 January 2024
stability of the stationary states implies global stability (see, e.g. Kalman's conjecture). If a hidden oscillation (or a set of such hidden oscillations filling...
16 KB (1,699 words) - 02:40, 24 October 2024
system via linear analysis and various well-known conjectures on global stability (Kalman's conjecture and others) for a cylindrical phase space. Viterbi...
17 KB (1,458 words) - 03:06, 31 July 2024
well-known wrong conjectures on the absolute stability problem: The Aizerman's conjecture The Kalman's conjecture. Graphically, these conjectures can be interpreted...
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range). For control systems, a similar conjecture was formulated by R. Kalman in 1957 (see Kalman's conjecture). https://www.legacy...
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Kalman Problems" (PDF). Doklady Mathematics. 84 (1): 475–481. doi:10.1134/S1064562411040120. S2CID 120692391., "Aizerman's and Kalman's conjectures and...
11 KB (1,275 words) - 21:47, 6 July 2024
The abc conjecture (also known as the Oesterlé–Masser conjecture) is a conjecture in number theory that arose out of a discussion of Joseph Oesterlé and...
41 KB (4,573 words) - 13:01, 10 October 2024
analytical-numerical methods for the construction of counterexamples to the Kalman conjecture on the absolute stability of control systems, provided justification...
20 KB (1,778 words) - 17:36, 5 November 2024