About: Second order sufficiency criteria for a discrete optimal control problem

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rdf:type	skos:Concept http://linked.opendata.cz/ontology/domain/vavai/Vysledek
Description	In this work we derive second order necessary and sufficient optimality conditions for a discrete optimal control problem with one variable and one fixed endpoints, and with equality control constraints. In particular, the positivity of the second variation, which is a discrete quadratic functional with appropriate boundary conditions, is characterized in terms of the nonexistence of intervals conjugate to 0, the existence of a certain conjoined basis of the associated linear Hamiltonian difference system, or the existence of a symmetric solution to the implicit and explicit Riccati matrix equations. Some results require a certain minimal normality assumption, and are derived using the sensitivity analysis technique. In this work we derive second order necessary and sufficient optimality conditions for a discrete optimal control problem with one variable and one fixed endpoints, and with equality control constraints. In particular, the positivity of the second variation, which is a discrete quadratic functional with appropriate boundary conditions, is characterized in terms of the nonexistence of intervals conjugate to 0, the existence of a certain conjoined basis of the associated linear Hamiltonian difference system, or the existence of a symmetric solution to the implicit and explicit Riccati matrix equations. Some results require a certain minimal normality assumption, and are derived using the sensitivity analysis technique. (en) In this work we derive second order necessary and sufficient optimality conditions for a discrete optimal control problem with one variable and one fixed endpoints, and with equality control constraints. In particular, the positivity of the second variation, which is a discrete quadratic functional with appropriate boundary conditions, is characterized in terms of the nonexistence of intervals conjugate to 0, the existence of a certain conjoined basis of the associated linear Hamiltonian difference system, or the existence of a symmetric solution to the implicit and explicit Riccati matrix equations. Some results require a certain minimal normality assumption, and are derived using the sensitivity analysis technique. (cs)
Title	Second order sufficiency criteria for a discrete optimal control problem Second order sufficiency criteria for a discrete optimal control problem (en) Second order sufficiency criteria for a discrete optimal control problem (cs)
skos:prefLabel	Second order sufficiency criteria for a discrete optimal control problem Second order sufficiency criteria for a discrete optimal control problem (en) Second order sufficiency criteria for a discrete optimal control problem (cs)
skos:notation	RIV/00216224:14310/02:00008167!RIV09-GA0-14310___
http://linked.open...avai/riv/aktivita	P
http://linked.open...avai/riv/aktivity	P(GA201/01/0079)
http://linked.open...iv/cisloPeriodika	6
http://linked.open...vai/riv/dodaniDat	2009
http://linked.open...aciTvurceVysledku	Šimon Hilscher, Roman
http://linked.open.../riv/druhVysledku	J - Článek v odborném periodiku
http://linked.open...iv/duvernostUdaju	S - Úplné a pravdivé údaje nepodléhající ochraně podle zvláštních právních předpisů
http://linked.open...titaPredkladatele	Masarykova univerzita / Přírodovědecká fakulta
http://linked.open...dnocenehoVysledku	663117
http://linked.open...ai/riv/idVysledku	RIV/00216224:14310/02:00008167
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	discrete maximum principle; discrete linear Hamiltonian system; discrete quadratic functional; accessory problem; optimality conditions; conjugate interval; discrete Riccati equation; normality (en)
http://linked.open.../riv/klicoveSlovo	normality discrete Riccati equation accessory problem discrete quadratic functional discrete maximum principle conjugate interval optimality conditions discrete linear Hamiltonian system
http://linked.open...odStatuVydavatele	GB - Spojené království Velké Británie a Severního Irska
http://linked.open...ontrolniKodProRIV	[4793E0533864]
http://linked.open...i/riv/nazevZdroje	Journal of Difference Equations and Applications
http://linked.open...in/vavai/riv/obor	BA
http://linked.open...ichTvurcuVysledku	1 (xsd:int)
http://linked.open...cetTvurcuVysledku	2 (xsd:int)
http://linked.open...vavai/riv/projekt	Qualitative theory of solutions of difference equations
http://linked.open...UplatneniVysledku	2002
http://linked.open...v/svazekPeriodika	8
http://linked.open...iv/tvurceVysledku	Šimon Hilscher, Roman Zeidan, Vera
http://linked.open...ain/vavai/riv/wos	000176011200005
issn	1023-6198
number of pages	30 (xsd:int)
http://localhost/t...ganizacniJednotka	14310

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