Results 11 to 20 of about 9,419 (263)

Linear matrix inequality representation of sets [PDF]

open access: yesCommunications on Pure and Applied Mathematics, 2006
AbstractThis article concerns the question, Which subsets of ℝm can be represented with linear matrix inequalities (LMIs)? This gives some perspective on the scope and limitations of one of the most powerful techniques commonly used in control theory. Also, before having much hope of representing engineering problems as LMIs by automatic methods, one ...
Helton, J. William, Vinnikov, Victor
openaire   +2 more sources

H∞ control of a bilateral teleoperation system: Application to a PV system [PDF]

open access: yesE3S Web of Conferences, 2023
This paper presents a novel approach for the H∞ control of a bilateral teleoperation system by combining dilated Linear Matrix Inequalities (LMIs) and the Takagi-Sugeno (T-S) fuzzy approach.
Darouiche Fatima Zahra   +2 more
doaj   +1 more source

Pole Assignment for Active Vibration Control of Linear Vibrating Systems through Linear Matrix Inequalities

open access: yesApplied Sciences, 2020
This paper proposes a novel method for pole placement in linear vibrating systems through state feedback and rank-one control. Rather than assigning all the poles to the desired locations of the complex plane, the proposed method exactly assigns just the
Roberto Belotti   +3 more
doaj   +1 more source

Decentralized Controller Design for Stochastic Gene Regulatory Networks [PDF]

open access: yesJournal of Electrical and Computer Engineering Innovations, 2019
Background and Objectives: Regulation of protein expression in cellular level are so challenging. In cellular scale, biochemical processes are intrinsically noisy and many convenient controllers aren’t physically implementable.Methods: In this paper, we ...
M. Mohammadian
doaj   +1 more source

Stability Analysis for a Class of Discrete-Time Nonhomogeneous Markov Jump Systems with Multiplicative Noises

open access: yesComplexity, 2018
This paper is concerned with a class of discrete-time nonhomogeneous Markov jump systems with multiplicative noises and time-varying transition probability matrices which are valued on a convex polytope. The stochastic stability and finite-time stability
Shaowei Zhou   +3 more
doaj   +1 more source

Improved Stability Criteria on Linear Systems with Distributed Interval Time-Varying Delays and Nonlinear Perturbations

open access: yesComputation, 2021
The problem of delay-range-dependent stability analysis for linear systems with distributed time-varying delays and nonlinear perturbations is studied without using the model transformation and delay-decomposition approach.
Jitsin Piyawatthanachot   +2 more
doaj   +1 more source

Determinant Maximization with Linear Matrix Inequality Constraints [PDF]

open access: yesSIAM Journal on Matrix Analysis and Applications, 1998
Summary: The problem of maximizing the determinant of a matrix subject to linear matrix inequalities (LMIs) arises in many fields, including computational geometry, statistics, system identification, experiment design, and information and communication theory. It can also be considered as a generalization of the semidefinite programming problem.
Lieven Vandenberghe   +2 more
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

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

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

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