Journal ArticleDOI
Nonlinear Controllability via Lie Theory
G. W. Haynes,Henry Hermes +1 more
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In this paper, the authors discuss trajectories uniform approximation and nonlinear controllability conditions based on linear partial differential equation (LPDE) for complete system associated with given control.Abstract:
Complete system associated with given control, discussing trajectories uniform approximation and nonlinear controllability conditions based on linear partial differential equationread more
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Proceedings ArticleDOI
Quasilinearization-based controllability analysis of neuronal rate networks
Seul Ah Kim,ShiNung Ching +1 more
TL;DR: This work develops an approximate controllability analysis based on the method of stochastic linearization (quasilinearization) for a class of neuronal network models with nearly linear dynamics, whose primary complication arises due to a sigmoidal nonlinearity in the neuronal coupling.
Proceedings ArticleDOI
Controllability and Observability of a Large Scale Thermodynamical System via Connectability Approach
TL;DR: In this paper, the controllability and observability of a large scale nonlinear dynamic thermal system using graph-theory has been determined by adapting graph theory for nonlinear class and establishing a graphic condition that describes the necessary and sufficient terms for a non-linear class system to be controllable and observable.
Journal ArticleDOI
Controllability of Poisson Systems
TL;DR: Sufficient conditions for the controllability of affine nonlinear control systems on Poisson manifolds are given and several examples illustrating the theory are presented.
Journal ArticleDOI
The Representation of Hydrological Dynamical Systems Using Extended Petri Nets (EPN)
TL;DR: An extended version of the Petri Nets mathematical modeling language, the extended EPN, which allows for an immediate translation from the graphics of the model to its mathematical representation in a clear way and can be used to describe complex Earth system models that include feedback between the water, energy, and carbon budgets.