Results 71 to 80 of about 496,079 (237)
International Journal of Robust and Nonlinear Control, EarlyView.ABSTRACT The importance of frequency domain methods in analysis and design of sliding mode (SM) control systems is mostly associated with chattering, where the advantages of these methods over state‐space and Lyapunov's methods are quite obvious.
I. M. Boiko
wiley +1 more source
, 2007 We develop the Euler–Maruyama scheme for a class of stochastic differential equations with Markovian switching (SDEwMSs) under non-Lipschitz conditions. Both L1 and L2-convergence are discussed under different non-Lipschitz conditions.
Yuan, Chenggui, Yin, G., Mao, Xuerong
core +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
Frobenius-type theorems for Lipschitz distributions
, 2007 We generalize the classical Frobenius Theorem to distributions that are spanned by locally Lipschitz vector fields. The various versions of the involutivity conditions are extended by means of set-valued Lie derivatives-in particular, set-valued Lie ...
RAMPAZZO, FRANCO
core +1 more source
On Lipschitz conditions for ordinary differential equations in Fréchet spaces [PDF]
, 1998 summary:We will give an existence and uniqueness theorem for ordinary differential equations in Fréchet spaces using Lipschitz conditions formulated with a generalized distance and row-finite ...
Herzog, Gerd
core +1 more source
Vertical Deformation Mapping: Steering Optimiser Toward Flat Minima
CAAI Transactions on Intelligence Technology, EarlyView.ABSTRACT Standard deep learning optimisation is typically conducted on shape‐fixed loss surfaces. However, shape‐fixed loss surfaces may impede optimisers from reaching flat regions closely associated with strong generalisation. In this work, we propose a new paradigm named deformation mapping to deform the loss surface during optimisation.
Liangming Chen +4 more
wiley +1 more source
Hölder and Lipschitz Stability of Solution Sets in Programs with Probabilistic Constraints [PDF]
, 2002 We study perturbations of a stochastic program with a probabilistic constraint and $r$-concave original probability distribution. First we improve our earlier results substantially and provide conditions implying Hölder continuity properties of the ...
Henrion, René, Römisch, Werner
core +1 more source
CAAI Transactions on Intelligence Technology, EarlyView.ABSTRACT This paper proposes a boundary control method for nonlinear distributed parameter systems (DPSs) with limited boundary measurements (BMs), as typically encountered in networked cyber‐physical processes with spatially distributed dynamics such as thermal and biomedical diffusion systems.
Yanlin Li +5 more
wiley +1 more source
Invariance of regularity conditions under definable, locally Lipschitz, weakly bi-Lipschitz mappings
, 2010 We describe the notion of a weakly Lipschitz mapping on a Cq stratification. We also distinguish a class of regularity conditions that are in some sense invariant under definable, locally Lipschitz and weakly bi-Lipschitz homeomorphisms.
Czapla, Małgorzata
core +1 more source
On Metric Choice in Dimension Reduction for Fréchet Regression
International Statistical Review, EarlyView.Summary Fréchet regression is becoming a mainstay in modern data analysis for analysing non‐traditional data types belonging to general metric spaces. This novel regression method is especially useful in the analysis of complex health data such as continuous monitoring and imaging data.
Abdul‐Nasah Soale +3 more
wiley +1 more source