D-Index & Metrics Best Publications

D-Index & Metrics

Discipline name D-index 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. Citations Publications World Ranking National Ranking
Electronics and Electrical Engineering D-index 69 Citations 20,399 542 World Ranking 297 National Ranking 161
Mechanical and Aerospace Engineering D-index 68 Citations 19,063 527 World Ranking 87 National Ranking 49

Research.com Recognitions

Awards & Achievements

2001 - IEEE Fellow For contributions to robust control theory and control engineering education.

Overview

What is he best known for?

The fields of study he is best known for:

  • Control theory
  • Quantum mechanics
  • Mathematical analysis

His primary scientific interests are in Control theory, Lyapunov function, Nonlinear system, Applied mathematics and Adaptive control. Dennis S. Bernstein regularly links together related areas like Control engineering in his Control theory studies. His Lyapunov function research is multidisciplinary, relying on both Lyapunov stability, Quadratic equation and Mathematical optimization.

His studies examine the connections between Nonlinear system and genetics, as well as such issues in Actuator, with regards to Benchmark. His research on Adaptive control also deals with topics like

  • MIMO which connect with Toeplitz matrix,
  • Transfer function which connect with Active noise control. His Lyapunov equation study combines topics in areas such as Upper and lower bounds, Bounded function, Mathematical analysis and Stability theory.

His most cited work include:

  • Finite-Time Stability of Continuous Autonomous Systems (2568 citations)
  • Continuous finite-time stabilization of the translational and rotational double integrators (994 citations)
  • Geometric homogeneity with applications to finite-time stability (907 citations)

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

Dennis S. Bernstein focuses on Control theory, Adaptive control, Control theory, Nonlinear system and Applied mathematics. Control theory is often connected to Control engineering in his work. The study incorporates disciplines such as Transfer function, Markov process, Robust control, Robustness and Markov chain in addition to Adaptive control.

His research integrates issues of Control system, Convergence, Mathematical optimization and Stability in his study of Control theory. His studies deal with areas such as Linear-quadratic regulator and Riccati equation as well as Linear-quadratic-Gaussian control. His is doing research in Lyapunov equation and Lyapunov redesign, both of which are found in Lyapunov function.

He most often published in these fields:

  • Control theory (63.72%)
  • Adaptive control (18.89%)
  • Control theory (16.48%)

What were the highlights of his more recent work (between 2012-2021)?

  • Control theory (63.72%)
  • Adaptive control (18.89%)
  • Nonlinear system (13.47%)

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

Dennis S. Bernstein mostly deals with Control theory, Adaptive control, Nonlinear system, Control engineering and Control theory. His Control theory study combines topics from a wide range of disciplines, such as Markov chain and Noise. As part of one scientific family, he deals mainly with the area of Adaptive control, narrowing it down to issues related to the Internal model, and often Hysteresis.

His Nonlinear system research also works with subjects such as

  • Riccati equation which connect with Optimal control and Linear-quadratic-Gaussian control,
  • Function together with Algorithm. His work carried out in the field of Control engineering brings together such families of science as Spacecraft and Control. His biological study spans a wide range of topics, including Adaptive system, Attitude control, Describing function and Identification.

Between 2012 and 2021, his most popular works were:

  • Adaptive control of a quadrotor UAV transporting a cable-suspended load with unknown mass (67 citations)
  • Inertia-Free Spacecraft Attitude Control Using Reaction Wheels (35 citations)
  • Retrospective Cost Adaptive Control: Pole Placement, Frequency Response, and Connections with LQG Control (28 citations)

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

  • Quantum mechanics
  • Control theory
  • Statistics

Dennis S. Bernstein mainly investigates Control theory, Adaptive control, Control engineering, Control theory and Actuator. His Control theory research includes elements of Stochastic process and Acceleration. His Adaptive control research is multidisciplinary, incorporating perspectives in Transfer function, Aircraft dynamics, Markov chain, Aerospace engineering and System identification.

His Control engineering study incorporates themes from Envelope, Control system, Reliability engineering and Identification. Dennis S. Bernstein has included themes like Vertical direction, Attitude control, Payload and Motion control in his Control theory study. His study explores the link between Optimal control and topics such as Dynamic programming that cross with problems in Mathematical analysis.

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

Matrix Mathematics: Theory, Facts, and Formulas

Dennis S. Bernstein.
(2009)

3245 Citations

Finite-Time Stability of Continuous Autonomous Systems

Sanjay P. Bhat;Dennis S. Bernstein.
Siam Journal on Control and Optimization (2000)

3242 Citations

Matrix Mathematics: Theory, Facts, and Formulas with Application to Linear Systems Theory

Dennis S. Bernstein.
(2005)

2050 Citations

Continuous finite-time stabilization of the translational and rotational double integrators

S.P. Bhat;D.S. Bernstein.
IEEE Transactions on Automatic Control (1998)

1305 Citations

Geometric homogeneity with applications to finite-time stability

Sanjay P. Bhat;Dennis S. Bernstein.
Mathematics of Control, Signals, and Systems (2005)

1190 Citations

LQG control with an H/sup infinity / performance bound: a Riccati equation approach

D.S. Bernstein;W.M. Haddad.
IEEE Transactions on Automatic Control (1989)

1061 Citations

A topological obstruction to continuous global stabilization of rotational motion and the unwinding phenomenon

Sanjay P. Bhat;Dennis S. Bernstein.
Systems & Control Letters (2000)

731 Citations

Finite-time stability of homogeneous systems

S.P. Bhat;D.S. Bernstein.
american control conference (1997)

569 Citations

A chronological bibliography on saturating actuators

Dennis S. Bernstein;Anthony N. Michel.
International Journal of Robust and Nonlinear Control (1995)

540 Citations

Benchmark problems for robust control design

Bong Wie;Dennis S. Bernstein.
Journal of Guidance Control and Dynamics (1992)

499 Citations

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