Complete instability of a box of polynomials

Padmanabhan, P.; Hollot, C.V.

doi:10.1109/9.151114

Cited by 10 publications

(9 citation statements)

References 1 publication

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“…In other words, a matrix K in (12) is to be found such that it stabilizes the system and provides the minimum value to the cost function (11). We know that even the existence of a stabilizing K is hard to decide, see Problem 4.…”

Section: Optimal Controlmentioning

confidence: 97%

“…To the authors' knowledge, the first rigorous formulation of Problem 2 is due to [11], where the related results are also given; some sufficient conditions are presented in [12]. This problem still attracts considerable attention, e.g., see [13]; however, no essential progress has been achieved.…”

Section: P (S) = A(s)n (S) + B(s)d(s)mentioning

confidence: 99%

“…The following optimal control problem with linear performance index is conceptually close to the linear quadratic problem (10), (11).…”

Section: Optimal Controlmentioning

confidence: 99%

“…Suppose however that a stabilizing controller is already found; alternatively, some sufficient conditions are met which guarantee the existence of stabilizing controllers of the form (12). We then have to choose a regulator which is optimal with respect to the criterion functional (11).…”

Section: Optimal Controlmentioning

confidence: 99%

“…Find a regulator u = Ky which stabilizes the systemẋ = Ax + Bu, y = Cx, and minimizes functional (11).…”

Section: Optimal Controlmentioning

confidence: 99%

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