# Pedro L. D. Peres

## H-Index & Metrics

Discipline name H-index Citations Publications World Ranking National Ranking
Electronics and Electrical Engineering H-index 38 Citations 7,246 216 World Ranking 2066 National Ranking 3

## What is he best known for?

### The fields of study he is best known for:

• Control theory
• Mathematical analysis
• Algebra

Pedro L. D. Peres focuses on Control theory, Linear system, Linear matrix inequality, Lyapunov function and Robust control. His work carried out in the field of Control theory brings together such families of science as Matrix, Quadratic equation, Mathematical optimization and Polytope. His studies in Linear system integrate themes in fields like Filter design, Bounded function, Upper and lower bounds, Polynomial and Robustness.

His Linear matrix inequality study combines topics from a wide range of disciplines, such as State-transition matrix, Gain scheduling and Fuzzy control system. He interconnects Discrete time and continuous time, LTI system theory and Applied mathematics in the investigation of issues within Lyapunov function. His Robust control study which covers Adaptive control that intersects with Stability theory and Lyapunov equation.

### His most cited work include:

• Parameter-Dependent LMIs in Robust Analysis: Characterization of Homogeneous Polynomially Parameter-Dependent Solutions Via LMI Relaxations (328 citations)
• On a convex parameter space method for linear control design of uncertain systems (303 citations)
• a linear programming oriented procedure for quadratic stabilization of uncertain systems (281 citations)

## What are the main themes of his work throughout his whole career to date?

Pedro L. D. Peres mostly deals with Control theory, Linear system, Linear matrix inequality, Lyapunov function and Discrete time and continuous time. His Control theory study combines topics in areas such as Mathematical optimization and Polytope. His Mathematical optimization research is multidisciplinary, incorporating perspectives in Nonlinear control and Uncertain systems.

Pedro L. D. Peres works mostly in the field of Linear system, limiting it down to topics relating to Upper and lower bounds and, in certain cases, Norm, as a part of the same area of interest. His studies deal with areas such as State-transition matrix, Filter design, Slack variable, Full state feedback and Homogeneous polynomial as well as Linear matrix inequality. Pedro L. D. Peres has researched Lyapunov function in several fields, including Matrix, Quadratic equation, Gain scheduling and Applied mathematics.

### He most often published in these fields:

• Control theory (76.38%)
• Linear system (42.07%)
• Linear matrix inequality (33.98%)

## What were the highlights of his more recent work (between 2013-2021)?

• Control theory (76.38%)
• Linear matrix inequality (33.98%)
• Linear system (42.07%)

### In recent papers he was focusing on the following fields of study:

His primary scientific interests are in Control theory, Linear matrix inequality, Linear system, Discrete time and continuous time and Lyapunov function. His Control theory study integrates concerns from other disciplines, such as Matrix and Filter design. His Linear matrix inequality research is within the category of Mathematical optimization.

Pedro L. D. Peres combines subjects such as Iterative method, Symmetric matrix and Robust control with his study of Linear system. His Discrete time and continuous time research is multidisciplinary, relying on both Structure, Fuzzy control system, Polytope, Filter and Homogeneous polynomial. His Lyapunov function research incorporates themes from Stability, Scalar, Interval and Markov jump linear systems.

### Between 2013 and 2021, his most popular works were:

• Mode-Independent ${\cal H}_{2}$ -Control of a DC Motor Modeled as a Markov Jump Linear System (47 citations)
• A new approach to handle additive and multiplicative uncertainties in the measurement for LPV filtering (41 citations)
• Robust H ∞ filter design with past output measurements for uncertain discrete-time systems (31 citations)

## In his most recent research, the most cited papers focused on:

• Control theory
• Mathematical analysis
• Algebra

His primary areas of investigation include Control theory, Linear matrix inequality, Linear system, Discrete time and continuous time and Lyapunov function. His Control theory research integrates issues from Filter design, State, Mathematical optimization, Scalar and Upper and lower bounds. His Linear matrix inequality research focuses on subjects like Full state feedback, which are linked to Representation, Bounded function and Homogeneous polynomial.

His Linear system research is multidisciplinary, incorporating elements of Control theory, Residual, Taylor series, Discretization and Symmetric matrix. As a part of the same scientific study, Pedro L. D. Peres usually deals with the Discrete time and continuous time, concentrating on Slack variable and frequently concerns with Applied mathematics and Interval. Pedro L. D. Peres studied Lyapunov function and Polytope that intersect with Norm.

This overview was generated by a machine learning system which analysed the scientist’s body of work. If you have any feedback, you can contact us here.

## Top Publications

a linear programming oriented procedure for quadratic stabilization of uncertain systems

J. Bernussou;P. L.D. Peres;J. C. Geromel.
Systems & Control Letters (1989)

439 Citations

Parameter-Dependent LMIs in Robust Analysis: Characterization of Homogeneous Polynomially Parameter-Dependent Solutions Via LMI Relaxations

R.C.L. Oliveira;P.L.D. Peres.
IEEE Transactions on Automatic Control (2007)

426 Citations

On a convex parameter space method for linear control design of uncertain systems

J. C. Geromel;P. L. D. Peres;J. Bernussou.
Siam Journal on Control and Optimization (1991)

405 Citations

An improved LMI condition for robust D-stability of uncertain polytopic systems

V.J.S. Leite;P.L.D. Peres.
IEEE Transactions on Automatic Control (2003)

268 Citations

An LMI condition for the robust stability of uncertain continuous-time linear systems

D.C.W. Ramos;P.L.D. Peres.
IEEE Transactions on Automatic Control (2002)

239 Citations

LMI conditions for robust stability analysis based on polynomially parameter-dependent Lyapunov functions

Ricardo C. L. F. Oliveira;Pedro Luis Dias Peres.
Systems & Control Letters (2006)

233 Citations

Brief Robust filtering with guaranteed energy-to-peak performance - an LMI approach

Reinaldo M. Palhares;Pedro L. D. Peres.
web science (2000)

215 Citations

A less conservative LMI condition for the robust stability of discrete-time uncertain systems

Domingos C.W. Ramos;Pedro L.D. Peres.
Systems & Control Letters (2001)

196 Citations

Decentralized control through parameter space optimization

J. C. Geromel;J. Bernussou;P. L. D. Peres.
Automatica (1994)

181 Citations

Stability of polytopes of matrices via affine parameter-dependent lyapunov functions : Asymptotically exact LMI conditions

Ricardo C.L.F. Oliveira;Pedro L.D. Peres.
Linear Algebra and its Applications (2005)

174 Citations

Profile was last updated on December 6th, 2021.
Research.com Ranking is based on data retrieved from the Microsoft Academic Graph (MAG).
The ranking h-index is inferred from publications deemed to belong to the considered discipline.

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