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Discrete quadratic functionals and symplectic difference systems
The survey of recent results on positivity and nonnegativity of discrete quadratic functionals corresponding to symplectic difference systems are presented and a new condition for nonegativity of these functionals ...
BA - Obecná matematika
- 2004 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Positive semidefiniteness of discrete quadratic functionals
Necessary and sufficient condition for nonnegativity of quadratic functionals corresponding to symplectic difference systems is proved....
BA - Obecná matematika
- 2003 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Discrete analysis of a certain parametrized family of quadratic functions based on conjugacy of those
The authors consider two-parameter quadratic families using elements of discrete iteration theory, in particular the concept of conjugated functions which is going back to Charles Babbage....
BA - Obecná matematika
- 2003 •
- D
Rok uplatnění
D - Stať ve sborníku
Diagonalization approach to discrete quadratic functionals
A necessary and sufficient condition for the nonnegativity of the discrete quadratic functional corresponding to a symplectic difference system is proved using the diagonalization method....
BA - Obecná matematika
- 2003 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Discrete quadratic dynamical systems and conjugacy of their generating functions, Aplimath, 3
Abstract: There are investigated discrete dynamical systems determined by certain family of quadratic functions. In particular, the contribution contains a description of blocks of mutually isomorphic discrete dyna...
BA - Obecná matematika
- 2004 •
- D
Rok uplatnění
D - Stať ve sborníku
A remark on discrete quadratic functionals with separable endpoints
A characterization of the positivity of a discrete quadratic functional with separable state endpoints constraints is presented in terms of conjugate intervals to , various conjoined bases of the associated ...
BA - Obecná matematika
- 2003 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Discrete quadratic functionals with jointly varying endpoints via separable endpoints
A characterization of the positivity of a discrete quadratic functional with mixed state endpoints is presented. The functional is transformed in two different ways into problems with separable endpoints to which p...
BA - Obecná matematika
- 2004 •
- D
Rok uplatnění
D - Stať ve sborníku
Nonnegativity of a discrete quadratic functional in terms of the (strengthened) Legendre and Jacobi conditions
of a discrete quadratic functional with one endpoint allowed to vary. In particular, we in the discrete calculus of variations. Under this condition, the nonnegativity the quadratic functional is...
BA - Obecná matematika
- 2003 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Symplectic difference systems: variable stepsize discretization and discrete quadratic functionals
Discrete quadratic functionals with variable endpoints for variable stepsize for characterizing the positivity of such functionals in terms of conjugate intervals conditions. Moreover, necessary conditions for the ...
BA - Obecná matematika
- 2003 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Solvability of the discrete LQR-problem under minimal assumptions
, a natural condition is imposed which is necessary for minimizing the involved discrete quadratic functional. The optimal solution is constructed from a generalized discreteThe purpose of this paper is to provide ...
BA - Obecná matematika
- 2005 •
- D
Rok uplatnění
D - Stať ve sborníku
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