Results 191 to 200 of about 2,055,605 (307)

Naive homotopical techniques in algebraic geometry

I’ll present a framework for making simple but effective homotopical arguments in algebraic geometry. These methods apply only in certain fortunate situations, but when they do, they yield surprising (to me) facts about basic geometric objects.
Vakil, Ravi
core  

High‐Order Sliding‐Mode control for MIMO Systems

International Journal of Robust and Nonlinear Control, EarlyView.
ABSTRACT This paper extends Lyapunov‐based homogeneous high‐order sliding‐mode control to a class of uncertain non‐square multi‐input multi‐output (MIMO) nonlinear systems with a well‐defined vector relative degree. The considered systems admit a normal‐form representation with an uncertain but full‐row‐rank input‐gain matrix.
Jaime A. Moreno, Angel Mercado‐Uribe
wiley   +1 more source

Geometric and arithmetic characterization of [Formula: see text]-module flatness with applications to tensor products. [PDF]

PLoS One
Tang JG, Lei HR, Liu M, Peng JY.
europepmc   +1 more source

Feedback Linearisation with State Constraints

International Journal of Robust and Nonlinear Control, EarlyView.
ABSTRACT Feedback Linearisation (FBL) is a widely used technique that applies feedback laws to transform input‐affine nonlinear control systems into linear control systems, allowing for the use of linear controller design methods such as pole placement.
Songlin Jin, Yuanbo Nie, Morgan Jones
wiley   +1 more source

Sliding Motions on Non‐Euclidean State Spaces: A Differential‐Geometric Perspective

International Journal of Robust and Nonlinear Control, EarlyView.
ABSTRACT This paper extends sliding‐mode control theory to nonlinear systems evolving on smooth manifolds. Building on differential geometric methods, we reformulate Filippov's notion of solutions, characterize well‐defined vector fields on quotient spaces, and provide a consistent geometric definition of higher‐order sliding modes.
Fernando Castaños
wiley   +1 more source

Universality for Taylor coefficients of rational functions under perturbations. [PDF]

Proc Natl Acad Sci U S A
Baryshnikov Y, Pemantle R.
europepmc   +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

Darboux transformation and quasideterminant solutions of a noncommutative semi-discrete coupled dispersionless integrable system. [PDF]

Sci Rep
Riaz HWA, Yildirim Y, Aljaaidi T.
europepmc   +1 more source

Outracing a National Level Model Racing Car Champion: A Hybrid Model‐Based Data‐Driven Approach

Journal of Field Robotics, EarlyView.
ABSTRACT This paper discusses lap time optimization, focusing on a single lap without considering opponents in autonomous racing. The paper presents a control and optimization architecture composed of a model‐based low level controller and a higher level iterative learning algorithm with the goal of obtaining the fastest qualifying lap in autonomous ...
Mustafa Alp, Matteo Corno, Giulio Panzani, Sergio Matteo Savaresi   +3 more
wiley   +1 more source

A Survey of Lattice-Based Physical-Layer Security for Wireless Systems with <i>p</i>-Modular Lattice Constructions. [PDF]

Entropy (Basel)
Khodaiemehr H, Bagheri K, Mohajer A, Feng C, Panario D, Leung VCM.   +5 more
europepmc   +1 more source