Results 71 to 80 of about 67,761 (247)

Robust Control Design and Analysis Based on Lifting Linearization of Nonlinear Systems Under Uncertain Initial Conditions

International Journal of Robust and Nonlinear Control, EarlyView.
ABSTRACT This paper presents a robust control synthesis and analysis framework for nonlinear systems with uncertain initial conditions. First, a deep learning‐based lifting approach is proposed to approximate nonlinear dynamical systems with linear parameter‐varying (LPV) state‐space models in higher‐dimensional spaces while simultaneously ...
Sourav Sinha, Mazen Farhood
wiley   +1 more source

Robust Adaptive Model Predictive Control for Tracking in Interconnected Systems via Distributed Optimization

International Journal of Robust and Nonlinear Control, EarlyView.
ABSTRACT This study presents a novel Distributed Robust Adaptive Model Predictive Control (DRAMPC) for tracking in multi‐agent systems. The framework is designed to work with dynamically coupled subsystems and limited communication, which is restricted to local neighborhoods.
Fabio Faliero, Elisa Capello, Andrea Iannelli   +2 more
wiley   +1 more source

SKdV, SmKdV flows and their supersymmetric gauge-Miura transformations [PDF]

Open Communications in Nonlinear Mathematical Physics
The construction of Integrable Hierarchies in terms of zero curvature representation provides a systematic construction for a series of integrable non-linear evolution equations (flows) which shares a common affine Lie algebraic structure. The integrable
Y. F. Adans, A. R. Aguirre, J. F. Gomes, G. V. Lobo, A. H. Zimerman   +4 more
doaj   +1 more source

Fusion ring revisited

, 2018
In this note we describe a general elementary procedure to attach a fusion ring to any Kac-Moody algebra of affine type. In the case of untwisted affine algebras, they are usual fusion rings in the literature. In the case of twisted affine algebras, they
Hong, Jiuzu
core   +1 more source

The Branching Rules for Affine Lie Algebras

Advances in Mathematics, 1994
The irreducible highest weight representations of affine Kac-Moody algebras are one of the main tools in the construction of conformal field theories. One of the good clues to the understanding of the structure of irreducible highest weight representations of affine Kac-Moody algebras is to calculate the string functions, which count the weight ...
openaire   +3 more sources

The role of identification in data‐driven policy iteration: A system theoretic study

International Journal of Robust and Nonlinear Control, EarlyView.
Abstract The goal of this article is to study fundamental mechanisms behind so‐called indirect and direct data‐driven control for unknown systems. Specifically, we consider policy iteration applied to the linear quadratic regulator problem. Two iterative procedures, where data collected from the system are repeatedly used to compute new estimates of ...
Bowen Song, Andrea Iannelli
wiley   +1 more source

Initial State Privacy of Nonlinear Systems on Riemannian Manifolds

International Journal of Robust and Nonlinear Control, EarlyView.
ABSTRACT In this paper, we investigate initial state privacy protection for discrete‐time nonlinear closed systems. By capturing Riemannian geometric structures inherent in such privacy challenges, we refine the concept of differential privacy through the introduction of an initial state adjacency set based on Riemannian distances.
Le Liu, Yu Kawano, Antai Xie, Ming Cao
wiley   +1 more source

Controllability of affine control systems on graded Lie groups

Kuwait Journal of Science, 2015
This paper is concerned with an affine control system on a manifold which is equivalentby diffeomorphism to an invariant system on a free nilpotent Lie group, if and only if,the vector fields of the system generate graded Lie algebra and the vector ...
MEMET KULE
doaj  

Symplectic Structure of Intrinsic Time Gravity

Universe, 2016
The Poisson structure of intrinsic time gravity is analysed. With the starting point comprising a unimodular three-metric with traceless momentum, a trace-induced anomaly results upon quantization.
Eyo Eyo Ita, Amos S. Kubeka
doaj   +1 more source

The magic renormalisability of affine Gaudin models

Journal of High Energy Physics, 2023
We study the renormalisation of a large class of integrable σ-models obtained in the framework of affine Gaudin models. They are characterised by a simple Lie algebra g $$ \mathfrak{g} $$ and a rational twist function φ(z) with simple zeros, a double ...
Falk Hassler, Sylvain Lacroix, Benoît Vicedo   +2 more
doaj   +1 more source