Matches in SemOpenAlex for { <https://semopenalex.org/work/W4255670426> ?p ?o ?g. }
Showing items 1 to 62 of
62
with 100 items per page.
- W4255670426 endingPage "151" @default.
- W4255670426 startingPage "101" @default.
- W4255670426 abstract "Publisher SummaryThis chapter discusses the sufficient conditions and necessary and sufficient conditions for nonnegativity of nonsingular and singular second variations. Nonnegativity of the second variation is a necessary condition for optimality in the control problems. It is also known that a sufficient condition for a weak local minimum is that the second variation be strongly positive. The second variation continues to play an important role in the second-order optimality tests. It is found that sufficiency conditions for nonnegativity of singular and nonsingular second variations are rather closely related. It is proved that a necessary and sufficient condition for strong positivity of the nonsingular second variation is that a solution exists to the well-known matrix Riccati differential equation. It is discussed that the singular second variation cannot be strongly positive and confirmed that the standard Riccati equation is of no direct use. The role of the conditions in deducing sufficient conditions for a weak local minimum in singular control problems and in deducing the existence conditions for a solution to the standard matrix Riccati equation is also discussed in the chapter." @default.
- W4255670426 created "2022-05-12" @default.
- W4255670426 date "1975-01-01" @default.
- W4255670426 modified "2023-10-05" @default.
- W4255670426 title "Chapter 4 Sufficient Conditions and Necessary and Sufficient Conditions for Non-Negativity of Nonsingular and Singular Second Variations" @default.
- W4255670426 doi "https://doi.org/10.1016/s0076-5392(08)63104-5" @default.
- W4255670426 hasPublicationYear "1975" @default.
- W4255670426 type Work @default.
- W4255670426 citedByCount "0" @default.
- W4255670426 crossrefType "book-chapter" @default.
- W4255670426 hasConcept C10138342 @default.
- W4255670426 hasConcept C106487976 @default.
- W4255670426 hasConcept C126255220 @default.
- W4255670426 hasConcept C134306372 @default.
- W4255670426 hasConcept C135909967 @default.
- W4255670426 hasConcept C13847129 @default.
- W4255670426 hasConcept C159985019 @default.
- W4255670426 hasConcept C162324750 @default.
- W4255670426 hasConcept C182306322 @default.
- W4255670426 hasConcept C192562407 @default.
- W4255670426 hasConcept C202444582 @default.
- W4255670426 hasConcept C28826006 @default.
- W4255670426 hasConcept C33923547 @default.
- W4255670426 hasConcept C45473103 @default.
- W4255670426 hasConcept C78045399 @default.
- W4255670426 hasConcept C91575142 @default.
- W4255670426 hasConcept C96442724 @default.
- W4255670426 hasConceptScore W4255670426C10138342 @default.
- W4255670426 hasConceptScore W4255670426C106487976 @default.
- W4255670426 hasConceptScore W4255670426C126255220 @default.
- W4255670426 hasConceptScore W4255670426C134306372 @default.
- W4255670426 hasConceptScore W4255670426C135909967 @default.
- W4255670426 hasConceptScore W4255670426C13847129 @default.
- W4255670426 hasConceptScore W4255670426C159985019 @default.
- W4255670426 hasConceptScore W4255670426C162324750 @default.
- W4255670426 hasConceptScore W4255670426C182306322 @default.
- W4255670426 hasConceptScore W4255670426C192562407 @default.
- W4255670426 hasConceptScore W4255670426C202444582 @default.
- W4255670426 hasConceptScore W4255670426C28826006 @default.
- W4255670426 hasConceptScore W4255670426C33923547 @default.
- W4255670426 hasConceptScore W4255670426C45473103 @default.
- W4255670426 hasConceptScore W4255670426C78045399 @default.
- W4255670426 hasConceptScore W4255670426C91575142 @default.
- W4255670426 hasConceptScore W4255670426C96442724 @default.
- W4255670426 hasLocation W42556704261 @default.
- W4255670426 hasOpenAccess W4255670426 @default.
- W4255670426 hasPrimaryLocation W42556704261 @default.
- W4255670426 hasRelatedWork W1561579480 @default.
- W4255670426 hasRelatedWork W2079972701 @default.
- W4255670426 hasRelatedWork W2110484439 @default.
- W4255670426 hasRelatedWork W2111408487 @default.
- W4255670426 hasRelatedWork W2150766149 @default.
- W4255670426 hasRelatedWork W2334216590 @default.
- W4255670426 hasRelatedWork W2585529787 @default.
- W4255670426 hasRelatedWork W2949824413 @default.
- W4255670426 hasRelatedWork W3144661763 @default.
- W4255670426 hasRelatedWork W4298411958 @default.
- W4255670426 isParatext "false" @default.
- W4255670426 isRetracted "false" @default.
- W4255670426 workType "book-chapter" @default.