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Remarks on stability of inverted pendula
Caiado, M. I.; Sarychev, A. V.Using linearization principle and tools from chronological calculus one establishes a criteria for stabilization of, usually unstable, equilibrium position of Double Inverted Pendula when subject an arbitrary fast oscillation. Both, planar and spherical cases are considered.
Data: 2005
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Origem: RepositóriUM - Universidade do Minho
Rigidity of abnormal extrema in the problem of non-linear programming with mixe...
Sarychev, A.V.; Tchemisova, T. V.We study abnormal extremum in the problem of non-linear pro- gramming with mixed constraints. Abnormal extremum occurs when in necessary optimality conditions the Lagrange multiplier, which cor- responds to the objective function, vanishes. We demonstrate that in this case abnormal second-order su±cient optimality conditions guar- antee rigidity of the corresponding extremal point, which means iso- latedness of...
Data: 2004
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Origem: RIA - Repositório Institucional da Universidade de Aveiro
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