A remark on discrete quadratic functionals with separable endpoints

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Authors

HILSCHER Roman ZEIDAN Vera

Year of publication 2003
Type Article in Periodical
Magazine / Source Rocky Mountain Journal of Mathematics
MU Faculty or unit

Faculty of Science

Citation
Field General mathematics
Keywords Discrete quadratic functional; Linear Hamiltonian difference system; Discrete quadratic functional; Linear Hamiltonian difference system; Conjoined basis; Riccati difference equation
Description A characterization of the positivity of a discrete quadratic functional with separable state endpoints constraints is presented in terms of conjugate intervals to 0 , various conjoined bases of the associated linear Hamiltonian difference system, and solutions of the implicit and explicit Riccati difference equations. The boundary conditions are in the form of either equalities or (strict) inequalities. Three sets of results are derived under different underlying assumptions.
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