Other Research Areas
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Application of Dynamical Systems
Dynamical systems describe the time-evolution of a state vector. The state vector characterizes (usually completely) the posture, status or mode of a given system. Dynamical systems in contrast to algebraic systems account for the time-evolution and transient conditions within a system. Thus the dynamics of a given system are considered to have died out when at state-state.
Dynamical systems are typically described by ordinary differential equations (continuous-time) or ordinary difference equations (discrete-time). Visually, the behavior of a dynamical system is shown as motion of a state vector in an appropriate state-space. Nonlinear dynamical systems allow for rich behavior that can be employed for lightweight modeling of a variety of systems. Our research focuses on harnessing such systems for modeling (e.g., smart grid systems) and robotic systems.
Related Publications
Identification of Piezomicropositioning Hammerstein Systems with Generalized Prandtl-Ishlinskii Hysteresis Nonlinearities Inproceedings Proc. IEEE Conference on Decision and Control, Miami Beach, Florida, 2018. |
Identification of Precision Motion Systems with Prandtl-Ishlinskii Hysteresis Nonlinearities Inproceedings Proc. American Control Conference, pp. to appear, 2018. |
Towards Modeling the Impact of Cyber Attacks on a Smart Grid Journal Article International Journal of Security and Networks, 6 (1), pp. 2-13, 2011. |
Vector Field Driven Design for Lightweight Signal Processing and Control Schemes for Autonomous Robotic Navigation Journal Article EURASIP Journal on Advances in Signal Processing Special Issue on Signal Processing Advances in Robots and Autonomy, 2009 (Article ID 984752), pp. 9, 2009. |
Cybernetic Automata: An Approach for the Realization of Economical Cognition for Multi-Robot Systems PhD Thesis Texas A&M University, 2008, ((Winner of TAMU 2008 U.S. Senator Phil Gramm Doctoral Award)). |
A Bio-inspired Analog Scheme for Navigational Control of Lightweight Autonomous Agents Inproceedings Proc. IEEE International Conference on Robotics and Automation (ICRA), pp. 1132-1137, Pasadena, California, 2008. |
Vector Field Design of Screw-Type Chaos Journal Article Fluctuations and Noise Letters, 8 (3-4), pp. L369-L379, 2008. |