Other Research Areas

Application of Dynamical Systems

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

K. Aljanaideh; M. Al Janaideh; M. Rakotondrabe; D. Kundur

Identification of Piezomicropositioning Hammerstein Systems with Generalized Prandtl-Ishlinskii Hysteresis Nonlinearities Inproceedings

Proc. IEEE Conference on Decision and Control, Miami Beach, Florida, 2018.


K. Aljanaideh; M. Rakotondrabe; M. Al Janaideh; D. Kundur

Identification of Precision Motion Systems with Prandtl-Ishlinskii Hysteresis Nonlinearities Inproceedings

Proc. American Control Conference, pp. to appear, 2018.


D. Kundur; X. Feng; S. Mashayekh; S. Liu; T. Zourntos; K.L. Butler-Purry

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.

BibTeX | Links:

N. J. Mathai; T. Zourntos; D. Kundur

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.

BibTeX | Links:

Nebu John Mathai

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)).

Abstract | BibTeX

T. Zourntos; N. J. Mathai; S. Magierowski; D. Kundur

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.

BibTeX | Links:

N. J. Mathai; T. Zourntos; D. Kundur

Vector Field Design of Screw-Type Chaos Journal Article

Fluctuations and Noise Letters, 8 (3-4), pp. L369-L379, 2008.

BibTeX | Links: