The study of dynamical systems governed by partial differential equations (PDEs) offers profound insights into the evolution of complex phenomena across physics, biology and engineering. In these ...

Earn an Online Dynamic Systems Certificate. Equip Yourself For Success in Model-Based Engineering. Our world is composed of dynamic systems: those that are not static but that change with time due to ...

Researchers at the University of Toronto have made a significant step towards enabling reliable predictions of complex dynamical systems when there are many uncertainties in the available data or ...

High-fidelity simulations of dynamic embedded systems can be invaluable. This follow-up to “Modeling Dynamic Systems” (August 2000) presents some techniques and algorithms you might find useful. In a ...

This paper is concerned with the long-time behavior of solutions for a class of stochastic semilinear degenerate equations with memory driven by nonlinear noise on ℝ n ...

The equation of motion of a discrete linear system has the form of a second-order ordinary differential equation with three real and square coefficient matrices. It is shown that, for almost all ...

The class of second-order linear dynamical systems is considered. A method and algorithm are presented to transform any system with n degrees of freedom into n independent second-order equations. The ...

Learn to apply control systems in automotive, energy, aerospace, robotics, and manufacturing sectors. Apply feedback control laws to stabilize systems and achieve performance goals. Control systems ...