Reduced Model in H∞ Vibration Control Using Linear Matrix Inequalities
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
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Convex computation of the region of attraction of polynomial control systems [PDF]
We address the long-standing problem of computing the region of attraction (ROA) of a target set (e.g., a neighborhood of an equilibrium point) of a controlled nonlinear system with polynomial dynamics and semialgebraic state and input constraints.
Henrion, Didier, Korda, Milan
core +8 more sources
State Control Design of Ostensible Metzler Linear Systems with Unsigned Input Parameters
This paper deals with the design of a complete state control for input unsigned, rank deficient matrix parameters of a linear system with system dynamics defined by ostensible structures of Metzler matrices.
Dušan Krokavec, Anna Filasová
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Aeroelastic stability analysis using linear matrix inequalities [PDF]
The present work describes an alternative methodology for identification of aeroelastic stability in a range of varying parameters. Analysis is performed in time domain based on Lyapunov stability and solved by convex optimization algorithms. The theory is outlined and simulations are carried out on a benchmark system to illustrate the method.
Bueno, Douglas D. +3 more
openaire +5 more sources
Matrix rank and inertia formulas in the analysis of general linear models
Matrix mathematics provides a powerful tool set for addressing statistical problems, in particular, the theory of matrix ranks and inertias has been developed as effective methodology of simplifying various complicated matrix expressions, and ...
Tian Yongge
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New summation inequalities and their applications to discrete-time delay systems
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
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Interval Prediction for Continuous-Time Systems with Parametric Uncertainties [PDF]
The problem of behaviour prediction for linear parameter-varying systems is considered in the interval framework. It is assumed that the system is subject to uncertain inputs and the vector of scheduling parameters is unmeasurable, but all uncertainties ...
Efimov, Denis +3 more
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Determinant Maximization with Linear Matrix Inequality Constraints [PDF]
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.
Vandenberghe, Lieven +2 more
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On Positive Realness for Stochastic Hybrid Singular Systems
This paper deals with the problem of passivity analysis and passivity-based synthesis for continuous-time stochastic hybrid singular systems (SHSSs). First, a set of linear matrix inequalities for the stochastic admissibility and passivity, which is also
Chan-Eun Park +2 more
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Linear Matrix Inequalities in Fault Detection Filter Design for Linear Ostensible Metzler Systems
The article deals with the properties of fault detection filters when applying their structure to a class of linear, continuous-time systems, with dynamics being specified by the system matrix of the ostensible Metzler structure. The proposed solution is
Dušan Krokavec, Anna Filasová
doaj +1 more source

