Results 21 to 30 of about 239,805 (285)

Spectral linear matrix inequalities [PDF]

open access: yesAdvances in Mathematics, 2021
We prove, under a certain representation theoretic assumption, that the set of real symmetric matrices, whose eigenvalues satisfy a linear matrix inequality, is itself a spectrahedron. The main application is that derivative relaxations of the positive semidefinite cone are spectrahedra. From this we further deduce statements on their Wronskians. These
openaire   +2 more sources

Robust Resilient Adaptive Control of Aero-engine Based on Parametric Perturbation Model

open access: yesKongzhi Yu Xinxi Jishu, 2023
Aero-engine´s characteristics vary with flight conditions and operating states. In complex operating environments, both model uncertainty and controller parameter variation exist simultaneously, which greatly affect the control performance in the whole ...
MA Jing, CAO Du, MA Lili
doaj   +3 more sources

New stability criteria for asymptotic stability of time-delay systems via integral inequalities and Jensen inequalities

open access: yesJournal of Inequalities and Applications, 2019
This paper investigates the new stability criteria for the asymptotic stability of time-delay systems via integral inequalities and Jensen inequalities.
Wei Zheng   +5 more
doaj   +1 more source

Refined Upper Solution Bound of the Continuous Coupled Algebraic Riccati Equation

open access: yesComplexity, 2020
The continuous coupled algebraic Riccati equation (CCARE) has wide applications in control theory and linear systems. In this paper, by a constructed positive semidefinite matrix, matrix inequalities, and matrix eigenvalue inequalities, we propose a new ...
Li Wang
doaj   +1 more source

Reduced Model in H∞ Vibration Control Using Linear Matrix Inequalities

open access: yesShock and Vibration, 2006
Many practical problems in structural dynamics are modeled with a high number of degrees of freedom in order to properly describe the structure. A formulation to design robust controllers is the H∞ technique where the controller has the same order of the
Fernando Sarracini Júnior   +1 more
doaj   +1 more source

On Harmonic Complex Balancing Numbers

open access: yesMathematics, 2022
In the present work, we define harmonic complex balancing numbers by considering well-known balancing numbers and inspiring harmonic numbers. Mainly, we investigate some of their basic characteristic properties such as the Binet formula and Cassini ...
Fatih Yılmaz   +2 more
doaj   +1 more source

Direct and Indirect Couplings in Coherent Feedback Control of Linear Quantum Systems [PDF]

open access: yes, 2011
The purpose of this paper is to study and design direct and indirect couplings for use in coherent feedback control of a class of linear quantum stochastic systems.
James, Matthew R., Zhang, Guofeng
core   +1 more source

Finite time stability of linear time varying delay systems using free matrix based integral inequalities

open access: yesResults in Control and Optimization, 2023
This paper discusses the problem of finite time stability (FTS) for linear delayed systems where the time-varying delay is bounded. First, based on a Lyapunov–Krasovskii Functional (LKF) which contains terms of triple integrals, delay-dependent FTS ...
Nabil El Akchioui   +5 more
doaj   +1 more source

A Statistical Learning Theory Approach for Uncertain Linear and Bilinear Matrix Inequalities [PDF]

open access: yes, 2014
In this paper, we consider the problem of minimizing a linear functional subject to uncertain linear and bilinear matrix inequalities, which depend in a possibly nonlinear way on a vector of uncertain parameters.
Chamanbaz, Mohammadreza   +4 more
core   +1 more source

New summation inequalities and their applications to discrete-time delay systems

open access: yes, 2015
This paper provides new summation inequalities in both single and double forms to be used in stability analysis of discrete-time systems with time-varying delays.
Trinh, Hieu, Van Hien, Le
core   +1 more source

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