Concepedia

Reduced-order aggregated models for bilinear time-invariant dynamical systems

IEEE Transactions on Automatic Control · 1984 · 39 citations · 7 references

Concepts

Deterministic Dynamical SystemDiscrete Dynamical SystemSufficient ConditionComplex Dynamic SystemBifurcation TheorySystem DynamicStability

Abstract

A necessary and sufficient condition for a bilinear time-invariant dynamical system to admit an aggregated reduced-order bilinear model is given.

References

7

Survey of decentralized control methods for large scale systems

N. Sandell, Pravin Varaiya, Michael Athans et al. · IEEE Transactions on Automatic Control · 1978 · 1.1K citations

Control Theoretic Literature, Decentralized Security, Hierarchical Control +12

Control of large-scale dynamic systems by aggregation

Masanao Aoki · IEEE Transactions on Automatic Control · 1968 · 537 citations

Nonlinear Control, Suboptimal Control Policy, Engineering +13

Bilinear systems: An appealing class of "nearly linear" systems in theory and applications

C. Bruni, G. Koch · IEEE Transactions on Automatic Control · 1974 · 521 citations

Spectral Theory, Nonlinear System Identification, Linear Systems +12

Realization and Structure Theory of Bilinear Dynamical Systems

Paolo D’Alessandro, Alberto Isidori, Antonio Ruberti · SIAM Journal on Control · 1974 · 248 citations

Minimal Realizations, Nonlinear System Identification, Deterministic Dynamical System +10

Large scale systems theory and applications

Paul Shepherd · Applied Mathematical Modelling · 1976 · 116 citations

Complex Modeling, Ultra-large System, Systems Engineering