Alexandre R. Mesquita
Universidade Federal de Minas Gerais, University of California, Santa Barbara
Papers
2
Total Citations
26
H-Index
2
About
Alexandre R. Mesquita is a researcher whose work sits at the intersection of stochastic control theory, probability, and autonomous systems. His primary contributions focus on the control of probability densities for complex, real-world processes, with a particular emphasis on applications in autonomous vehicle motion. In his most cited work, "Jump Control of Probability Densities With Applications to Autonomous Vehicle Motion" (2012, 19 citations), Mesquita addresses the challenge of steering a system’s state distribution toward a desired probability density, using only partial, scalar observations. This foundational paper provides a rigorous framework for controlling swarms or individual agents under uncertainty. Complementing this, his 2010 paper on "Construction of Lyapunov functions for piecewise-deterministic Markov processes" (7 citations) offers a critical theoretical tool—proving exponential ergodicity for the very processes he studied in his density control work. This dual focus on both practical control design and deep theoretical stability analysis marks Mesquita’s unique contribution: he not only solves applied problems in robotics and autonomous navigation but also provides the mathematical guarantees that ensure those solutions are reliable and long-term stable.
Research Focus
Key Achievements
Top Papers
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