Results 171 to 180 of about 6,286 (306)

Riemannian Holonomy and Algebraic Geometry

open access: yes, 1999
Introduction This survey is devoted to a particular instance of the interaction between Riemannian geometry and algebraic geometry, the study of manifolds with special holonomy.
Arnaud Beauville
core  

Control Systems Design With Enlarged Stability Domains for Nonlinear Constrained Systems via Sum‐of‐Squares Optimization

open access: yesInternational Journal of Robust and Nonlinear Control, EarlyView.
ABSTRACT Designing safe control laws for nonlinear systems is challenging, especially when ensuring stability under actuator saturation and state constraints. A key aspect is embedding controllers with a Region of Attraction (ROA), which defines initial conditions guaranteeing convergence to a stable equilibrium point (EP).
Bhaskar Biswas   +3 more
wiley   +1 more source

Algebraic geometry over $C^\infty$-rings

open access: yes, 2019
If $X$ is a smooth manifold then the $\mathbb R$-algebra $C^\infty(X)$ of smooth functions $c:X\to\mathbb R$ is a $C^\infty$-$ring$. That is, for each smooth function $f:{\mathbb R}^n\to\mathbb R$ there is an $n$-fold operation $\Phi_f:C^\infty(X)^n\to C^
Joyce, D, Joyce, Dominic
core  

High‐Order Sliding‐Mode control for MIMO Systems

open access: yesInternational 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

Algebraic Geometry over C-infinity rings

open access: yes, 2009
If X is a smooth manifold then the R-algebra C^\infty(X) of smooth functions c : X --> R is a "C-infinity ring". That is, for each smooth function f : R^n --> R there is an n-fold operation \Phi_f : C^\infty(X)^n --> C^\infty(X) acting by \Phi_f: (c_1,...
Joyce, D
core  

Initial State Privacy of Nonlinear Systems on Riemannian Manifolds

open access: yesInternational 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

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