Aggregation of a class of interconnected, linear dynamical systems

DOI10.1016/S0167-6911(01)00100-1zbMath0974.93009MaRDI QIDQ5941466

Swaroop Darbha, Kumbakonam R. Rajagopal

Publication date: 20 August 2001

Published in: Systems \& Control Letters (Search for Journal in Brave)

zbMATH Keywords

large-scale systemspower systemsaverage dynamical systemsensemble averagestring stabilitytraffic flow modeling

Mathematics Subject Classification ID

Application models in control theory (93C95) Large-scale systems (93A15) Smooth dynamical systems: general theory (37C99)

Related Items (5)

LIMIT OF A COLLECTION OF DYNAMICAL SYSTEMS: AN APPLICATION TO MODELING THE FLOW OF TRAFFIC ⋮ Necessary conditions of optimality for a class of optimal control problems on time scales ⋮ String Stability of Singularly Perturbed Stochastic Systems ⋮ On the asymptotic aggregation of high dimensional systems ⋮ On Cauchy's interlacing theorem and the stability of a class of linear discrete aggregation models under eventual linear output feedback controls

Cites Work

• Decentralized control of complex systems
• The boundedness of solutions of infinite systems of linear differential equations
• On the theory of infinite systems of differential equations and their application to the theory of stochastic processes and the perturbation theory of quantum mechanics
• An inclusion principle for dynamic systems
• Validation of reduced-order models for control systems design
• Global transformations of nonlinear systems
• Decomposition-aggregation of large-scale power systems and stability studies
• String stability of interconnected systems
• Existence and Approximation of Solutions to an Infinite Set of Linear Time-Invariant Differential Equations
• Aggregation of Variables in Dynamic Systems
• The Asymptotic Behavior of a System of Linear Differential Equations
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