A linear programming approach to routing control in networks of constrained linear positive systems

DOI10.1016/j.automatica.2012.02.001zbMath1246.93058OpenAlexW2058489663MaRDI QIDQ445883

Cédric Langbort, Heather Arneson

Publication date: 27 August 2012

Published in: Automatica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.automatica.2012.02.001

zbMATH Keywords

linear programmingpositive systemscontrol of networkscontroller constraints and structure

Mathematics Subject Classification ID

Linear programming (90C05) Linear systems in control theory (93C05) Positive matrices and their generalizations; cones of matrices (15B48)

Related Items (12)

A linear programming approach to routing control in networks of constrained nonlinear positive systems with concave flow rates ⋮ State bounding estimation of positive singular discrete-time systems with unbounded time-varying delays ⋮ Improved Controller Design for Uncertain Positive Systems and its Extension to Uncertain Positive Switched Systems ⋮ Stability of nonlinear positive semi-Markovian jump systems with mode-dependent delay subject to mode-dependent average dwell time ⋮ A linear programming approach to routing control in networks of constrained linear positive systems ⋮ LP approach to exponential stabilization of singular linear positive time-delay systems via memory state feedback ⋮ Absolute exponential \(L_{1}\)-gain analysis and synthesis of switched nonlinear positive systems with time-varying delay ⋮ A linear framework on the distributed model predictive control of positive systems ⋮ Distributed model predictive control of positive Markov jump systems ⋮ Robust Stability and Stabilization of Positive Interval Systems Subject to Actuator Saturation ⋮ Decentralized string-stability analysis for heterogeneous cascades subject to load-matching requirements ⋮ Finite-time stability and stabilisation of singular discrete-time linear positive systems with time-varying delay

Cites Work

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• A linear programming approach to routing control in networks of constrained linear positive systems
• Comparison of the performance of four Eulerian network flow models for strategic air traffic management
• Optimal dynamic routing in communication networks with continuous traffic
• Optimal Congestion Control in Single Destination Networks
• Minimum-delay routing in continuous-time dynamic networks with Piecewise-constant capacities
• An optimal control approach to dynamic routing in networks
• The Modeling of Adaptive Routing in Data-Communication Networks

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