IEEE Transactions on Automatic Control · 1977 · 2.3K citations · 11 references
Natural SciencesMathematicsDynamical SystemsControl Of Dynamical SystemsControl SystemsControl TheoryNonlinear ControlNonlinear DynamicsControllabilityControllability AnalysisMinimal RealizationNonlinear ControllabilityNonlinear SystemsSystem ControllabilitySystem Observability
The properties of controllability, observability, and the theory of minimal realization for linear systems are well-understood and have been very useful in analyzing such systems. This paper deals with analogous questions for nonlinear systems.
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Brian D. O. Anderson, J.Β. Moore, B. Molinari · IEEE Transactions on Systems Man and Cybernetics · 1972 · 1.7K citations
Finite dimensional linear systems
M. Vidyasagar · Journal of the Franklin Institute · 1971 · 692 citations
System Theory on Group Manifolds and Coset Spaces
R. Brockett · SIAM Journal on Control · 1972 · 461 citations