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Nonlinear Dynamics

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Adaptive Neural Control for Switched Nonlinear Systems With Unstable Dynamic Uncertainties: A Small Gain-Based Approach.

IEEE transactions on cybernetics
This article concentrates on the adaptive neural control for switched nonlinear systems interconnected with unmodeled dynamics. The investigated model consists of two dynamic processes, namely, the x -system and the unmodeled z -dynamics. In this art...

Finite-Time Command-Filtered Composite Adaptive Neural Control of Uncertain Nonlinear Systems.

IEEE transactions on cybernetics
This article presents a new command-filtered composite adaptive neural control scheme for uncertain nonlinear systems. Compared with existing works, this approach focuses on achieving finite-time convergent composite adaptive control for the higher-o...

Neuroadaptive Finite-Time Control for Nonlinear MIMO Systems With Input Constraint.

IEEE transactions on cybernetics
This article considers the problem of finite-time (FT) tracking control for a class of uncertain multi-input-multioutput (MIMO) nonlinear systems with input backlash. A modified FT command filter is designed in each step of backstepping, which ensure...

Periodic event-triggered adaptive tracking control design for nonlinear discrete-time systems via reinforcement learning.

Neural networks : the official journal of the International Neural Network Society
In this paper, an event-triggered control scheme with periodic characteristic is developed for nonlinear discrete-time systems under an actor-critic architecture of reinforcement learning (RL). The periodic event-triggered mechanism (ETM) is construc...

Autoencoders reloaded.

Biological cybernetics
In Bourlard and Kamp (Biol Cybern 59(4):291-294, 1998), it was theoretically proven that autoencoders (AE) with single hidden layer (previously called "auto-associative multilayer perceptrons") were, in the best case, implementing singular value deco...

Deep learning for centre manifold reduction and stability analysis in nonlinear systems.

Philosophical transactions. Series A, Mathematical, physical, and engineering sciences
Bifurcations cause large qualitative and quantitative changes in the dynamics of nonlinear systems with slowly varying parameters. These changes most often are due to modifications that occur in a low-dimensional subspace of the overall system dynami...

A Novel Mean-Field-Game-Type Optimal Control for Very Large-Scale Multiagent Systems.

IEEE transactions on cybernetics
In this article, a decentralized adaptive optimal controller based on the emerging mean-field game (MFG) and self-organizing neural networks (NNs) has been developed for multiagent systems (MASs) with a large population and uncertain dynamics. This d...

Resilient Adaptive Neural Control for Uncertain Nonlinear Systems With Infinite Number of Time-Varying Actuator Failures.

IEEE transactions on cybernetics
Existing studies on adaptive fault-tolerant control for uncertain nonlinear systems with actuator failures are restricted to a common result that only system stability is established. Such a result of not being asymptotically stable is a tradeoff pai...

A Bound Estimation Approach for Adaptive Fuzzy Asymptotic Tracking of Uncertain Stochastic Nonlinear Systems.

IEEE transactions on cybernetics
The adaptive fuzzy tracking control problems for a class of uncertain stochastic nonlinear systems are investigated in this article using the backstepping control approach. Different from the existing research, the crucial but highly restrictive hypo...

Design of Cooperative Output Regulators for Heterogeneous Uncertain Nonlinear Multiagent Systems.

IEEE transactions on cybernetics
Cooperative output regulation (COR) of multiagent systems having heterogeneous uncertain nonlinear dynamics is often challenging because of the complex system dynamics and the coupling among agents. This article develops an adaptive internal model-ba...