Jose C. Geromel

What is he best known for?

The fields of study he is best known for:

• Control theory
• Mathematical analysis
• Mathematical optimization

Jose C. Geromel mainly investigates Control theory, Linear matrix inequality, Linear system, Mathematical optimization and Convex optimization. His study in Optimal control, Robust control, Lyapunov function, Stability and Output feedback falls under the purview of Control theory. His Linear matrix inequality research focuses on subjects like Applied mathematics, which are linked to Discrete mathematics, Markov kernel, Markov property, Markov model and Markov chain mixing time.

His research in Linear system intersects with topics in Control engineering, Upper and lower bounds and Symmetric matrix. His research integrates issues of Markov renewal process and Variable-order Markov model in his study of Mathematical optimization. His study on Convex set is often connected to Norm and Positive-definite matrix as part of broader study in Convex optimization.

His most cited work include:

• Brief An improved approach for constrained robust model predictive control (337 citations)
• Brief paper: Dynamic output feedback H∞ control of switched linear systems (161 citations)
• Brief Continuous-time state-feedback H2-control of Markovian jump linear systems via convex analysis (142 citations)

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

Jose C. Geromel spends much of his time researching Control theory, Linear system, Mathematical optimization, Convex optimization and Linear matrix inequality. His research combines Upper and lower bounds and Control theory. The various areas that Jose C. Geromel examines in his Linear system study include Lyapunov function, Norm, Linear-quadratic-Gaussian control, Applied mathematics and Function.

His Mathematical optimization study combines topics from a wide range of disciplines, such as Stability, Filter design, Decentralised system and Nonlinear system. His research in the fields of Convex set overlaps with other disciplines such as Minimax and State. His work carried out in the field of Linear matrix inequality brings together such families of science as Nonlinear control and Kalman filter.

He most often published in these fields:

• Control theory (72.73%)
• Linear system (48.64%)
• Mathematical optimization (30.45%)

What were the highlights of his more recent work (between 2011-2021)?

• Control theory (72.73%)
• Linear system (48.64%)
• Applied mathematics (16.82%)

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

The scientist’s investigation covers issues in Control theory, Linear system, Applied mathematics, Mathematical optimization and Discrete time and continuous time. Jose C. Geromel conducted interdisciplinary study in his works that combined Control theory and Context. Jose C. Geromel integrates Linear system and Convex optimization in his studies.

The concepts of his Applied mathematics study are interwoven with issues in Numerical analysis, Symmetric matrix, Interval and Bellman equation. His work deals with themes such as Saddle point and Linear parameter-varying control, which intersect with Mathematical optimization. His Discrete time and continuous time research is multidisciplinary, incorporating elements of Linear matrix and Exponential function.

Between 2011 and 2021, his most popular works were:

• A Nonconservative LMI Condition for Stability of Switched Systems With Guaranteed Dwell Time (116 citations)
• Discrete-Time Switched Linear Systems State Feedback Design With Application to Networked Control (60 citations)
• Suboptimal Switching Control Consistency Analysis for Switched Linear Systems (53 citations)

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

• Control theory
• Mathematical analysis
• Mathematical optimization

His primary areas of study are Control theory, Linear system, Function, Linear matrix inequality and Discrete time and continuous time. His Control theory research integrates issues from Upper and lower bounds, State and Applied mathematics. He combines subjects such as Center and Lyapunov equation with his study of Applied mathematics.

The study incorporates disciplines such as Stability, State, Mathematical optimization, Linear-quadratic-Gaussian control and Robustness in addition to Linear system. His Mathematical optimization research incorporates themes from Sequence and Representation. His studies deal with areas such as Time domain, Passivity and Frequency domain as well as Function.