Dr. Bichitra Kumar Lenka | Fractional calculus | Best Researcher Award

Indian Institute of Technology (Indian School of Mines) Dhanbad, India

Professional Profiles:

👨‍🎓 Bio Summary:

Dr. Bichitra Kumar Lenka is an accomplished mathematician specializing in fractional calculus, nonlinear dynamics, and control theory. He holds a Ph.D. in Mathematics from the Indian Institute of Science Education and Research (IISER) Kolkata, where his research focused on the dynamics and stability of fractional order systems. Currently serving as an Institute Post-Doctoral Fellow at IIT (Indian School of Mines) Dhanbad, he has previously worked at IIT Guwahati. Dr. Lenka’s research contributes to developing innovative methods for stability theory, with applications in engineering control systems. His work has been published in reputable international journals, advancing the field of applied mathematics.

🎓 Educational Background:

Dr. Bichitra Kumar Lenka holds a Ph.D. in Mathematics from the prestigious Indian Institute of Science Education and Research (IISER) Kolkata (2019), where his thesis focused on the Dynamics and Stability of Fractional Order Systems. He earned an M.Sc. in Mathematics from Indian Institute of Technology (IIT) Delhi in 2011, completing a thesis on the Kinematic Scheme for Euler Equations. His academic journey began with a B.Sc. in Mathematics (Hons) from Ravenshaw University Cuttack, where he graduated with an impressive 92.2% in his honors subject.

🔍 Research Focus:

Dr. Lenka’s research spans fractional calculus, nonlinear dynamics, control theory, and stability theory. His primary areas of interest include exploring real-order systems and time-delay systems, with a focus on developing stability conditions using advanced mathematical theories like Lyapunov, Lyapunov-Razumikhin, Metzler, and Mittag-Leffler. His innovative work has contributed to advancing the field of real-order calculus and its application in engineering control theory and other complex systems.

🏆 Honors & Awards:

While Dr. Lenka’s formal accolades are yet to be listed, his prestigious post-doctoral fellowships at IIT Dhanbad and IIT Guwahati are significant achievements, reflecting recognition of his expertise and dedication in applied mathematics. His work has been accepted in notable international journals, adding further recognition to his contributions to fractional calculus and control theory.

💼 Professional Experience:

Dr. Lenka currently serves as an Institute Post-Doctoral Fellow at IIT (Indian School of Mines) Dhanbad, where he continues his research on fractional calculus and control theory under the mentorship of Professor Ranjit Kumar Upadhyay. Previously, he held the same position at IIT Guwahati, working with Professor Swaroop Nandan Bora on similar research themes from December 2020 to June 2023.

📚 Top Noted Publications :

Sufficient Conditions for Asymptotic Stability and Stabilization of Autonomous Fractional Order Systems
Authors: B.K. Lenka, S. Banerjee
Citations: 58
Published in: Communications in Nonlinear Science and Numerical Simulation
Year: 2018
Index: 56, 365-379

Fractional Comparison Method and Asymptotic Stability Results for Multivariable Fractional Order Systems
Author: B.K. Lenka
Citations: 49
Published in: Communications in Nonlinear Science and Numerical Simulation
Year: 2019
Index: 69, 398-415

Asymptotic Stability and Stabilization of a Class of Nonautonomous Fractional Order Systems
Authors: B.K. Lenka, S. Banerjee
Citations: 37
Published in: Nonlinear Dynamics
Year: 2016
Index: 85 (1), 167-177

New Global Asymptotic Stability Conditions for a Class of Nonlinear Time-Varying Fractional Systems
Authors: B.K. Lenka, S.N. Bora
Citations: 21
Published in: European Journal of Control
Year: 2022
Index: 63, 97-106

Time-Varying Lyapunov Functions and Lyapunov Stability of Nonautonomous Fractional Order Systems
Author: B.K. Lenka
Citations: 19
Published in: International Journal of Applied Mathematics
Year: 2019
Index: 32, 111-130

Conclusion:

Dr. Bichitra Kumar Lenka’s specialized research in fractional calculus, stability theory, and nonlinear dynamics demonstrates considerable depth and promise. His post-doctoral experiences at premier Indian institutions and publications in reputed journals further cement his position as a noteworthy researcher. Given his contributions to the theoretical understanding of complex systems and stability, he is a strong candidate for the Best Researcher Award.

👨‍🎓 Bio Summary:

Dr. Andrey Polyakov is a prominent researcher in the field of control and estimation. He holds a Ph.D. and HDR in control theory, with a focus on finite-time techniques. Dr. Polyakov’s work has been recognized globally, and he is ranked among the top 2% most cited researchers in Industrial Engineering & Automation. He has published extensively and holds a position as a Full-time Researcher at Inria Lille-Nord Europe, contributing to the Valse Team.

🎓 Education:

Andrey Polyakov received his Ph.D. in Control of neutral and unstable plants using relay delayed feedback control from Voronezh State University, Russia, in 2005. He also holds an HDR (Habilitation à diriger des recherches) entitled “Linear Geometric Homogeneity for Control and Estimation in a Finite Time” from The University of Lille, France, awarded in 2018.

🔍 Research Focus:

Dr. Polyakov’s research focuses on control and estimation, with a particular interest in finite-time techniques for both linear and nonlinear systems. His work delves into theoretical aspects as well as practical applications, aiming to advance the understanding and implementation of control strategies that operate within finite time horizons.

🏆 Honors & Awards:

Dr. Polyakov has received recognition for his contributions to the field, including being ranked among the top 2% most cited researchers in Industrial Engineering & Automation. His work has garnered attention for its impact and innovation, reflecting his dedication to excellence in research.

Professional Experience: 💼

With a rich professional history, Dr. Polyakov has held various positions in academia and research institutions. He has served as a Full-time Researcher at Inria Lille-Nord Europe, where he contributes to the Valse Team. Prior to this, he held positions at the Institute of Control Sciences (Russian Academy of Sciences), Voronezh State University (Russia), and CINVESTAV-IPN (Mexico), among others.

📚 Top Noted Publications :

“Nonlinear feedback design for fixed-time stabilization of linear control systems,” published in IEEE Transactions on Automatic Control in 2012, which has been cited 3102 times.

“Finite-time and fixed-time stabilization: Implicit Lyapunov function approach,” published in Automatica in 2015, with 753 citations.

“Stability notions and Lyapunov functions for sliding mode control systems,” published in the Journal of The Franklin Institute in 2014, cited 403 times.

“Reaching time estimation for ‘super-twisting’ second order sliding mode controller via Lyapunov function designing,” published in IEEE Transactions on Automatic Control in 2009, with 295 citations.

“Leader-follower fixed-time consensus for multi-agent systems with unknown non-linear inherent dynamics,” published in IET Control Theory & Applications in 2015, cited 267 times

.Author Metrics 📊 :

Dr. Polyakov’s impact is reflected in his author metrics, with several of his papers receiving significant citation counts. His influential contributions have helped shape the discourse within the field of control and estimation, establishing him as a leading figure in his area of expertise.

📅 Research Timeline:

Throughout his career, Dr. Polyakov has been engaged in impactful research endeavors. From his early studies at Voronezh State University to his current role at Inria Lille-Nord Europe, he has consistently pursued excellence in both theoretical investigations and practical applications, contributing to advancements in control theory and related fields.