Foundations and Trends® in Systems and Control · 2014 · 614 citations · 90 references
Natural SciencesPhysicsSystems EngineeringMathematical PhysicsSystems ModelingTheoretical PhysicsControl Of Dynamical SystemsHamiltonian SystemsMany-body PhysicsNetwork TheoryNetworked Systems ModelingSystems Of Differential EquationsHamiltonian Formulation Of Coupled DynamicsPort-hamiltonian Formulation
An up-to-date survey of the theory of port-Hamiltonian systems is given, emphasizing novel developments and relationships with other formalisms. Port-Hamiltonian systems theory yields a systematic framework for network modeling of multi-physics systems. Examples from different areas show the range of applicability. While the emphasis is on modeling and analysis, the last part provides a brief introduction to control of port-Hamiltonian systems.
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Memristor-The missing circuit element
Leon O. Chua · IEEE Transactions on Circuit Theory · 1971 · 10K citations
Applications of lie groups to differential equations
Acta Applicandae Mathematicae · 1990 · 6.1K citations
Lars Hörmander · Acta Mathematica · 1971 · 2.4K citations · Full text