# Oswaldo Luiz do Valle Costa

## D-Index & Metrics D-index (Discipline H-index) only includes papers and citation values for an examined discipline in contrast to General H-index which accounts for publications across all disciplines.

Discipline name D-index Citations Publications World Ranking National Ranking
Electronics and Electrical Engineering D-index 35 Citations 6,094 193 World Ranking 3674 National Ranking 6
Mathematics D-index 36 Citations 6,240 222 World Ranking 1776 National Ranking 14

## What is he best known for?

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

• Mathematical analysis
• Statistics
• Control theory

His scientific interests lie mostly in Linear system, Control theory, Applied mathematics, Optimal control and Markov process. He integrates Linear system and Jump process in his studies. His Markov jump linear systems study in the realm of Control theory connects with subjects such as Spectral radius.

His Applied mathematics research is multidisciplinary, incorporating elements of Discrete mathematics and Linear matrix inequality. Oswaldo Luiz do Valle Costa combines subjects such as Self-adjoint operator, Stability and Riccati equation with his study of Optimal control. His research in Markov process focuses on subjects like Markov chain, which are connected to Lyapunov function.

### His most cited work include:

• Discrete-Time Markov Jump Linear Systems (794 citations)
• Stability Results for Discrete-Time Linear Systems with Markovian Jumping Parameters (496 citations)
• Output feedback control of Markov jump linear systems in continuous-time (357 citations)

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

Oswaldo Luiz do Valle Costa spends much of his time researching Applied mathematics, Markov chain, Markov process, Control theory and Linear system. His research integrates issues of Discrete mathematics, Linear matrix inequality, Discrete time and continuous time, Algebraic number and Algebraic Riccati equation in his study of Applied mathematics. Oswaldo Luiz do Valle Costa has researched Markov process in several fields, including Piecewise and Mathematical optimization, Optimal control.

His work on Stochastic control as part of general Optimal control study is frequently linked to Separation principle, bridging the gap between disciplines. Oswaldo Luiz do Valle Costa focuses mostly in the field of Control theory, narrowing it down to topics relating to Optimization problem and, in certain cases, Expected value. His study looks at the relationship between Linear system and topics such as Linear-quadratic-Gaussian control, which overlap with Linear-quadratic regulator.

### He most often published in these fields:

• Applied mathematics (40.79%)
• Markov chain (35.96%)
• Markov process (35.53%)

## What were the highlights of his more recent work (between 2017-2021)?

• Applied mathematics (40.79%)
• Control theory (34.65%)
• Markov chain (35.96%)

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

His primary areas of investigation include Applied mathematics, Control theory, Markov chain, Linear system and Hidden Markov model. His work carried out in the field of Applied mathematics brings together such families of science as Upper and lower bounds, Discrete time and continuous time and Optimal control. In his research on the topic of Optimal control, Markov model is strongly related with Control.

His research is interdisciplinary, bridging the disciplines of Estimator and Control theory. His Markov chain study combines topics in areas such as Optimization problem and Markov process. His work in the fields of Markov jump overlaps with other areas such as Fault detection and isolation.

### Between 2017 and 2021, his most popular works were:

• Mixed H2∕H∞ control of hidden Markov jump systems (29 citations)
• Detector-based H∞ results for discrete-time Markov jump linear systems with partial observations (22 citations)
• Exponential Hidden Markov Models for ${H} _\infty$ Control of Jumping Systems (7 citations)

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

• Statistics
• Mathematical analysis
• Control theory

Oswaldo Luiz do Valle Costa mainly focuses on Applied mathematics, Hidden Markov model, Markov chain, Linear system and Upper and lower bounds. His Applied mathematics study combines topics from a wide range of disciplines, such as Discrete time and continuous time, Markov jump linear systems, Filter and Domain. His Markov jump linear systems research is multidisciplinary, relying on both Multiplicative function, Total variation and Stochastic control, Optimal control.

His Hidden Markov model research includes elements of Control theory and Control theory. His study on Markov chain is mostly dedicated to connecting different topics, such as Markov process. His Markov process research integrates issues from Quadratic equation and Invariant.

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.

## Best Publications

Discrete-Time Markov Jump Linear Systems

Oswaldo Luiz do Valle Costa;Marcelo Dutra Fragoso;Ricardo Paulino Marques.
(2005)

1726 Citations

Stability Results for Discrete-Time Linear Systems with Markovian Jumping Parameters

O.L.V. Costa;M.D. Fragoso.
Journal of Mathematical Analysis and Applications (1993)

675 Citations

Stability Results for Discrete-Time Linear Systems with Markovian Jumping Parameters

O.L.V. Costa;M.D. Fragoso.
Journal of Mathematical Analysis and Applications (1993)

675 Citations

Output feedback control of Markov jump linear systems in continuous-time

D.P. De Farias;J.C. Geromel;J.B.R. Do Val;O.L.V. Costa.
IEEE Transactions on Automatic Control (2000)

485 Citations

Output feedback control of Markov jump linear systems in continuous-time

D.P. De Farias;J.C. Geromel;J.B.R. Do Val;O.L.V. Costa.
IEEE Transactions on Automatic Control (2000)

485 Citations

Continuous-Time Markov Jump Linear Systems

Oswaldo Luiz do Valle Costa;Marcelo Dutra Fragoso;Marcos G. Todorov.
(2012)

403 Citations

Continuous-Time Markov Jump Linear Systems

Oswaldo Luiz do Valle Costa;Marcelo Dutra Fragoso;Marcos G. Todorov.
(2012)

403 Citations

Discrete-time LQ-optimal control problems for infinite Markov jump parameter systems

O.L.V. Costa;M.D. Fragoso.
IEEE Transactions on Automatic Control (1995)

237 Citations

Discrete-time LQ-optimal control problems for infinite Markov jump parameter systems

O.L.V. Costa;M.D. Fragoso.
IEEE Transactions on Automatic Control (1995)

237 Citations

Mixed H/sub 2//H/sub /spl infin//-control of discrete-time Markovian jump linear systems

O.L.V. Costa;R.P. Marques.
IEEE Transactions on Automatic Control (1998)

234 Citations

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