AI Medical Compendium Topic:
Nonlinear Dynamics

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Fusion analysis of functional MRI data for classification of individuals based on patterns of activation.

Brain imaging and behavior
Classification of individuals based on patterns of brain activity observed in functional MRI contrasts may be helpful for diagnosis of neurological disorders. Prior work for classification based on these patterns have primarily focused on using a sin...

Variable neural adaptive robust control: a switched system approach.

IEEE transactions on neural networks and learning systems
Variable neural adaptive robust control strategies are proposed for the output tracking control of a class of multiinput multioutput uncertain systems. The controllers incorporate a novel variable-structure radial basis function (RBF) network as the ...

A universal concept based on cellular neural networks for ultrafast and flexible solving of differential equations.

IEEE transactions on neural networks and learning systems
This paper develops and validates a comprehensive and universally applicable computational concept for solving nonlinear differential equations (NDEs) through a neurocomputing concept based on cellular neural networks (CNNs). High-precision, stabilit...

Impulsive stabilization and impulsive synchronization of discrete-time delayed neural networks.

IEEE transactions on neural networks and learning systems
This paper investigates the problems of impulsive stabilization and impulsive synchronization of discrete-time delayed neural networks (DDNNs). Two types of DDNNs with stabilizing impulses are studied. By introducing the time-varying Lyapunov functio...

Adaptive optimal control of highly dissipative nonlinear spatially distributed processes with neuro-dynamic programming.

IEEE transactions on neural networks and learning systems
Highly dissipative nonlinear partial differential equations (PDEs) are widely employed to describe the system dynamics of industrial spatially distributed processes (SDPs). In this paper, we consider the optimal control problem of the general highly ...

Quaternion-valued echo state networks.

IEEE transactions on neural networks and learning systems
Quaternion-valued echo state networks (QESNs) are introduced to cater for 3-D and 4-D processes, such as those observed in the context of renewable energy (3-D wind modeling) and human centered computing (3-D inertial body sensors). The introduction ...

Synchronization, non-linear dynamics and low-frequency fluctuations: analogy between spontaneous brain activity and networked single-transistor chaotic oscillators.

Chaos (Woodbury, N.Y.)
In this paper, the topographical relationship between functional connectivity (intended as inter-regional synchronization), spectral and non-linear dynamical properties across cortical areas of the healthy human brain is considered. Based upon functi...

A simplified adaptive neural network prescribed performance controller for uncertain MIMO feedback linearizable systems.

IEEE transactions on neural networks and learning systems
In this paper, the problem of deriving a continuous, state-feedback controller for a class of multiinput multioutput feedback linearizable systems is considered with special emphasis on controller simplification and reduction of the overall design co...

Neural network-based finite-horizon optimal control of uncertain affine nonlinear discrete-time systems.

IEEE transactions on neural networks and learning systems
In this paper, the finite-horizon optimal control design for nonlinear discrete-time systems in affine form is presented. In contrast with the traditional approximate dynamic programming methodology, which requires at least partial knowledge of the s...

Neural network-based finite horizon stochastic optimal control design for nonlinear networked control systems.

IEEE transactions on neural networks and learning systems
The stochastic optimal control of nonlinear networked control systems (NNCSs) using neuro-dynamic programming (NDP) over a finite time horizon is a challenging problem due to terminal constraints, system uncertainties, and unknown network imperfectio...