Unified treatment of continuous and discrete time systems from a state-variable viewpoint; emphasis on linear systems. Concept of state, writing and solving state equations, controllability and ...

Low-friction, high-stiffness ball guides support on one rail (top) or two (bottom). The trade-offs for this performance are higher cost and more noise. The shortest path between two points is a ...

Most linear algebra courses start by considering how to solve a system of linear equations. \[ \begin{align} a_{0,0}x_0 + a_{0,1}x_0 + \cdots a_{0,n-1}x_0 & = b_0 ...

When in doubt, make it stout. That was the rule of thumb for designing strong and durable machine tools in the past. Over the years, however, this mindset has changed as technical advances have ...

Non-linear physics is the study of systems where the output is not directly proportional to the input. Unlike linear systems, which follow simple, predictable relationships, non-linear systems exhibit ...