Linear feedback control of nonlinear systems with a dominating conservative quadratic term

Anil Bose, Alan Cover and James Reneke

International Journal of Mathematics and Mathematical Sciences, 1998, vol. 21, 1-12

Abstract:

Conditions are investigated for systems of the form M x ′ = N + A x + f ( x ) , where f is quadratic, which lield a point dissipative system. Application of the conditions are made to the problem of existence of linear feedback controls u = K x for systems of the form M x ′ = N + A x + f ( x ) + B u which force the system to be point dissipative. The basic results have eztensions to more general classes of systems.

Date: 1998
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:782876

DOI: 10.1155/S0161171298000726

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