FRINK Linked Data Fragments server

Matches in SemOpenAlex for { <https://semopenalex.org/work/W1990349968> ?p ?o ?g. }

• W1990349968 abstract "This article deals with the path optimization problem of aircrafts observing ships, using Kalman estimation. Observing that the continuous version of the Kalman filter equation is a Riccati differential equation, we formalize the problem as a minimization of the integral of the covariance trace. This integral is constrained by the Riccati equation coupled with aircrafts trajectory equations, giving an optimal control problem. Because our problem contains multiple optima and because maximum principle cannot solve optimization problems with multiple optima, we propose a graph theory approach using the Bellman dynamic programming principle. First we show that if we look at a lower bound of the criterion, we can separate the state space of the estimation (covariance) and of the trajectory (space time coordinates).This allows the use of integer programming like Bellman shortest path algorithm with state space given by the trajectory and criterion based on the estimation evolution versus trajectory. Shortest path algorithm is computed in a graph whose nodes are given by a space time coordinates grid, and whose edges are given by the path authorized by the maneuvre constraints. Once the lower bound is obtained and the Branch and Bound procedure leads to the global optimum conditionally to the grid. The algorithm gives an initial condition to local optimization procedures like variation descent search. We found that in certain cases non-trivial trajectories, like circles, U-turns and broken lines appear with this method. These trajectories are actually inaccessible with the maximum principle, unless the initial trajectory happens to be close to the optimum. When applying these methods with noise to the filtering process, we obtained encouraging results. Comparing with minimal time trajectory; we gained up to 40 % on the quadratic error mean." @default.
• W1990349968 created "2016-06-24" @default.
• W1990349968 creator A5010220434 @default.
• W1990349968 creator A5026660633 @default.
• W1990349968 date "2005-01-01" @default.
• W1990349968 modified "2023-09-25" @default.
• W1990349968 title "Optimal observation trajectory of an active maneuvering radar" @default.
• W1990349968 cites W1591290804 @default.
• W1990349968 cites W1979100027 @default.
• W1990349968 cites W2039514389 @default.
• W1990349968 cites W2124931237 @default.
• W1990349968 cites W2133876652 @default.
• W1990349968 cites W2171074980 @default.
• W1990349968 cites W2227557434 @default.
• W1990349968 doi "https://doi.org/10.1109/icif.2005.1591908" @default.
• W1990349968 hasPublicationYear "2005" @default.
• W1990349968 type Work @default.
• W1990349968 sameAs 1990349968 @default.
• W1990349968 citedByCount "0" @default.
• W1990349968 crossrefType "proceedings-article" @default.
• W1990349968 hasAuthorship W1990349968A5010220434 @default.
• W1990349968 hasAuthorship W1990349968A5026660633 @default.
• W1990349968 hasConcept C105795698 @default.
• W1990349968 hasConcept C118615104 @default.
• W1990349968 hasConcept C121332964 @default.
• W1990349968 hasConcept C126255220 @default.
• W1990349968 hasConcept C1276947 @default.
• W1990349968 hasConcept C132525143 @default.
• W1990349968 hasConcept C13662910 @default.
• W1990349968 hasConcept C157286648 @default.
• W1990349968 hasConcept C173246807 @default.
• W1990349968 hasConcept C178650346 @default.
• W1990349968 hasConcept C22590252 @default.
• W1990349968 hasConcept C33923547 @default.
• W1990349968 hasConcept C37404715 @default.
• W1990349968 hasConcept C91575142 @default.
• W1990349968 hasConceptScore W1990349968C105795698 @default.
• W1990349968 hasConceptScore W1990349968C118615104 @default.
• W1990349968 hasConceptScore W1990349968C121332964 @default.
• W1990349968 hasConceptScore W1990349968C126255220 @default.
• W1990349968 hasConceptScore W1990349968C1276947 @default.
• W1990349968 hasConceptScore W1990349968C132525143 @default.
• W1990349968 hasConceptScore W1990349968C13662910 @default.
• W1990349968 hasConceptScore W1990349968C157286648 @default.
• W1990349968 hasConceptScore W1990349968C173246807 @default.
• W1990349968 hasConceptScore W1990349968C178650346 @default.
• W1990349968 hasConceptScore W1990349968C22590252 @default.
• W1990349968 hasConceptScore W1990349968C33923547 @default.
• W1990349968 hasConceptScore W1990349968C37404715 @default.
• W1990349968 hasConceptScore W1990349968C91575142 @default.
• W1990349968 hasLocation W19903499681 @default.
• W1990349968 hasOpenAccess W1990349968 @default.
• W1990349968 hasPrimaryLocation W19903499681 @default.
• W1990349968 hasRelatedWork W1971012778 @default.
• W1990349968 hasRelatedWork W1978142470 @default.
• W1990349968 hasRelatedWork W2022910148 @default.
• W1990349968 hasRelatedWork W2064132675 @default.
• W1990349968 hasRelatedWork W2425539571 @default.
• W1990349968 hasRelatedWork W2593629062 @default.
• W1990349968 hasRelatedWork W2763229256 @default.
• W1990349968 hasRelatedWork W3188022546 @default.
• W1990349968 hasRelatedWork W4283659296 @default.
• W1990349968 hasRelatedWork W2138790054 @default.
• W1990349968 isParatext "false" @default.
• W1990349968 isRetracted "false" @default.
• W1990349968 magId "1990349968" @default.
• W1990349968 workType "article" @default.