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.