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A remark on discrete quadratic functionals with separable endpoints
A characterization of the positivity of a discrete quadratic functional to , various conjoined bases of the associated linear Hamiltonian difference system, and solutions ...
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 t...
BA - Obecná matematika
- 2004 •
- D
Rok uplatnění
D - Stať ve sborníku
Symplectic difference systems: variable stepsize discretization and discrete quadratic functionals
discretization of a continuous-time nonlinear control problem leads to a discrete linear quadratic problem and a Hamiltonian difference system, which are special casesDiscrete <...
BA - Obecná matematika
- 2003 •
- 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)
Inhomogeneous quadratic functionals on time scales
>) and discrete (T=Z) linear Hamiltonian systems on an arbitrary time scale T. In particular, he states that disconjugacy of the Hamiltonian system is a sufficient condition f...
BA - Obecná matematika
- 2001 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Discrete optimal control: second order optimality conditions
>) of the discrete quadratic functional I corresponding to its second variation. Thus of the positivity of certain partial discrete quadratic functionals, the nonexistence problems with t...
BA - Obecná matematika
- 2002 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Positivity of quadratic functionals on time scales: necessity
In this work we establish that disconjugacy of a linear Hamiltonian system quadratic functional. We employ a certain minimal normality (controllability) assumption with the result that positivity of the
BA - Obecná matematika
- 2001 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Definiteness of quadratic functionals for Hamiltonian and symplectic systems: A survey
and positivity of quadratic functionals arising in the theory of linear Hamiltonian and symplectic systems. We study these functionals on traditional continuous time domain (under and without con...
BA - Obecná matematika
- 2009 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Second order sufficiency criteria for a discrete optimal control problem
of the second variation, which is a discrete quadratic functional with appropriate boundary, the existence of a certain conjoined basis of the associated linear Hamiltonian difference system<...
BA - Obecná matematika
- 2002 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Equivalent conditions to the nonnegativity of a quadratic functional in discrete optimal control
for conjoined bases of the associated linear Hamiltonian difference system. When this kernel of a discrete quadratic functional with fixed right endpoint equation, ...
BA - Obecná matematika
- 2004 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
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