Results 61 to 70 of about 1,720,065 (227)

Optimal Homogeneous ℒp$$ {\boldsymbol{\mathcal{L}}}_{\boldsymbol{p}} $$‐Gain Controller

International Journal of Robust and Nonlinear Control, EarlyView.
ABSTRACT Nonlinear ℋ∞$$ {\mathscr{H}}_{\infty } $$‐controllers are designed for arbitrarily weighted, continuous homogeneous systems with a focus on systems affine in the control input. Based on the homogeneous ℒp$$ {\mathcal{L}}_p $$‐norm, the input–output behavior is quantified in terms of the homogeneous ℒp$$ {\mathcal{L}}_p $$‐gain as a ...
Daipeng Zhang, Benjamin Calmbach, Jaime A. Moreno, Johann Reger   +3 more
wiley   +1 more source

Some new results for Jacobi matrix polynomials

Filomat, 2013
The main aim of this paper is to obtain some recurrence relations and generating matrix function for Jacobi matrix polynomials (JMP). Also, various integral representations satisfied by JMP are derived.
AKTAŞ, RABİA, ALTIN, ABDULLAH, ÇEKİM, BAYRAM   +2 more
openaire   +3 more sources

On Determination of a Finite Jacobi Matrix From Two Spectra

, 2012
In this work we study the inverse spectral problem for two spectra of finite order real Jacobi matrices (tri-diagonal matrices). The problem is to reconstruct the matrix using two sets of eigenvalues, one for the original Jacobi matrix and one for the ...
Guseinov, Gusein Sh
core   +3 more sources

Optimal Gain Selection for the Arbitrary‐Order Homogeneous Differentiator

International Journal of Robust and Nonlinear Control, EarlyView.
ABSTRACT Differentiation of noisy signals is a relevant and challenging task. Widespread approaches are the linear high‐gain observer acting as a differentiator and Levant's robust exact differentiator with a discontinuous right‐hand side. We consider the family of arbitrary‐order homogeneous differentiators, which includes these special cases.
Benjamin Calmbach, Jaime A. Moreno, Johann Reger   +2 more
wiley   +1 more source

A new Jacobi wavelets decomposition method for solving partial differential equations [PDF]

Arab Journal of Mathematical Sciences
PurposeThe paper proposes a new spectral method based on Jacobi wavelets for numerically solving partial differential equations (PDEs).Design/methodology/approachThe authors used Jacobi wavelets as basis functions and employed the operational matrix of ...
Bahri Mohammed Nadjib, Sidi Mohammed Bahri   +1 more
doaj   +1 more source

Validation of Neural Network Controllers for Uncertain Systems Using the Keep‐Close Approach: Robustness Analysis and Safety Verification

International Journal of Robust and Nonlinear Control, EarlyView.
ABSTRACT The safety verification of neural network (NN) controllers operating in uncertain environments characterized by unmodeled dynamics, nonlinearities, and time delays remains a fundamental challenge in robust control analysis. This article introduces a novel method, termed Keep‐Close, for analyzing the performance and robustness of uncertain ...
Abdelhafid Zenati, Nabil Aouf
wiley   +1 more source

Convergence Results on Iteration Algorithms to Linear Systems

The Scientific World Journal, 2014
In order to solve the large scale linear systems, backward and Jacobi iteration algorithms are employed. The convergence is the most important issue. In this paper, a unified backward iterative matrix is proposed.
Zhuande Wang, Chuansheng Yang, Yubo Yuan
doaj   +1 more source

Trustworthy Imagination in Embodied World Models: Structural Constraints, Reality Anchoring, and Trust Adjudication

SmartBot, EarlyView.
World models let robots imagine alternative futures, such as successfully grasping a glass or dropping it, but visual plausibility alone does not establish trustworthiness. Here, the authors review structural constraint, reality anchoring, and trust adjudication as complementary mechanisms for shaping generation, grounding predictions in real evidence,
Chenwei Shi, Xueyu Luan, Shuo Jiang, Bin He   +3 more
wiley   +1 more source

The Spectral Connection Matrix for Any Change of Basis within the Classical Real Orthogonal Polynomials

Mathematics, 2015
The connection problem for orthogonal polynomials is, given a polynomial expressed in the basis of one set of orthogonal polynomials, computing the coefficients with respect to a different set of orthogonal polynomials.
Tom Bella, Jenna Reis
doaj   +1 more source

Polynomial‐shaped electrodes for adaptive X‐ray optics

Journal of Synchrotron Radiation, EarlyView.
A shaped electrode design for lithium niobate adaptive X‐ray mirrors connects actuator degrees of freedom to specific polynomial orders, enabling general shape control and the correction of defocus, coma and fourth‐order aberrations with a limited number of inputs.For adaptive mirrors on X‐ray beamlines and optical systems, we describe a strategy for ...
Kenneth A. Goldberg, Francesco Marzari, Grant D. Cutler   +2 more
wiley   +1 more source