SIAM Journal on Numerical Analysis, Vol. 14, No. 2 (Apr., 1977), pp. 180-193 (14 pages) Kalman [9] introduced a method for estimating the state of a discrete linear dynamic system subject to noise.

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 ...

Epilepsy is a disorder characterized by paroxysmal transitions between multistable states. Dynamical systems have been useful for modeling the paroxysmal nature of seizures. At the same time, ...

Linear motors offer precise positioning and highly dynamic response for many motion-control tasks. For machine tools, these include not only rapid traverse, but slow, constant-speed movement of ...

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 ...

We often encounter nonlinear dynamical systems that behave unpredictably, such as the earth's climate and the stock market. To analyze them, measurements taken over time are used to reconstruct the ...