Results 51 to 60 of about 1,994 (184)

Input–Output Finite‐Time Stability and Stabilization of Nonautonomous Nonlinear Quadratic Systems via State and Output Feedback

International Journal of Robust and Nonlinear Control, EarlyView.
ABSTRACT This paper presents novel results regarding the input–output finite‐time stability (IO‐FTS) of nonlinear quadratic systems (NLQSs), a class of dynamical models particularly useful for the study of robotic systems, biochemical reaction networks, and other processes of interest to the applied sciences.
Alessio Merola, Francesca Nesci, Donatella Dragone, Francesco Montefusco, Francesco Amato, Carlo Cosentino   +5 more
wiley   +1 more source

Weakly Coupled B-Type Kadomtsev-Petviashvili Equation: Lump and Rational Solutions

Advances in Mathematical Physics, 2020
Through the method of ZN-KP hierarchy, we propose a new (3+1)-dimensional weakly coupled B-KP equation. Based on the bilinear form, we obtain the lump and rational solutions to the dimensionally reduced cases by constructing a symmetric positive ...
Na Xiong, Wen-Tao Li, Biao Li
doaj   +1 more source

Minimisation of functions of a positive semidefinite matrix A subject to AX = 0

Journal of Multivariate Analysis, 1978
AbstractA common problem in multivariate analysis is that of minimising or maximising a function f of a positive semidefinite matrix A subject possibly to AX = 0. Typically A is a variance-covariance matrix. Using the theory of nearest point projections in Hilbert spaces, it is shown that the solution satisfies the equation f′(A) + M − A = 0, where A =
Calvert, Bruce, Seber, George A.F.
openaire   +2 more sources

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

International 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, Dmitry Ignatyev, Argyrios Zolotas, Antonios Tsourdos   +3 more
wiley   +1 more source

On the asymptotic Bieberbach conjecture

International Journal of Mathematics and Mathematical Sciences, 1982
The set S consists of complex functions f, univalent in the open unit disk, with f(0)=f'(0)-1=0. We use the asymptotic behavior of the positive semidefinite FitzGerald matrix to show that there is an absolute constant N0 such that, for any f(z)=z+?n ...
Mauriso Alves, Armando J. P. Cavalcante
doaj   +1 more source

Multi‐Objective Bayesian Co‐Optimization of Parameterized Moving Horizon Estimation and Model Predictive Control

International Journal of Robust and Nonlinear Control, EarlyView.
ABSTRACT This paper proposes a Machine Learning (ML)‐enabled estimator‐controller design framework, in which a parameterized Model Predictive Controller (MPC) and a parameterized Moving Horizon Estimator (MHE) are jointly refined using Bayesian Optimization (BO).
Hossein Nejatbakhsh Esfahani, Javad Mohammadpour Velni   +1 more
wiley   +1 more source

Symmetric Positive Semi-Definite Fourier Estimator of Spot Covariance Matrix with High Frequency Data

Risks
This paper proposes a nonparametric estimator of the spot volatility matrix with high-frequency data. Our newly proposed Positive Definite Fourier (PDF) estimator produces symmetric positive semi-definite estimates and is consistent with a suitable ...
Jiro Akahori, Reika Kambara, Nien-Lin Liu, Maria Elvira Mancino, Tommaso Mariotti, Yukie Yasuda   +5 more
doaj   +1 more source

Fast local convergence for flow topology optimization using the lattice Boltzmann method with a modified Newton method

Nihon Kikai Gakkai ronbunshu, 2015
We propose a Newton-gradient-hybrid optimization method for fluid topology optimization. The method accelerates convergence and reduces computation time. In addition, the fluid-solid boundaries are clearly distinguished.
Kazuo YONEKURA, Yoshihiro KANNO
doaj   +1 more source

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

Not all Temperature Shocks are Alike: Disentangling Heat and High Temperature Shocks and Their Effects on Inflation in Australia

Economic Record, EarlyView.
We study the effects of heat and high temperature shocks on inflation in Australia using monthly, state‐level temperature anomaly data via two stages. In the first stage, we decompose temperature anomalies into orthogonal components using a structural vector autoregression with long‐run restrictions.
Tan Dat Huynh, Mengheng Li
wiley   +1 more source