Quadratic Functionals in Variational Analysis and Control Theory - Couverture rigide

Kratz, W.

 
9783055016561: Quadratic Functionals in Variational Analysis and Control Theory

Synopsis

The main object described is a general theory of self-adjoint eigenvalue problems for linear Hamiltonian systems, which includes Morse's oscillation theory and his extensions of Sturmian theory. The dependence of the eigenvalue parameter may be nonlinear. The treatment is based upon a novel approach via field theory, in particular Picone's theory. The central features needed for the method are results on Riccati matrix differential equations and on monotone matrix-values functions. Applications of the theory yield classical and differing results in such areas as for example, linear control theory, variational analysis (Rayleigh's principle) or Sturm-Liouville eigenvalue problems.

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Autres éditions populaires du même titre

9783527400522: Quadratic Functionals in Variational Analysis and Control Theory (Mathematical Topics)

Edition présentée

ISBN 10 :  3527400524 ISBN 13 :  9783527400522
Editeur : Wiley-VCH
Couverture rigide