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This formula is the core of environmentally extended input-output analysis: The final demand vector y can be split up into a domestic and a foreign (exports) component, which makes it possible to calculate the material inputs associated with each. The matrix F integrates material (factor) flow data into input-output analysis. It allows us to ...
where I and O are the input and output rates. In the above example, the steady-state input and output rates are both equal to a, so τ res = 1/k. [20] If the input and output rates are nonlinear functions of C, they may still be closely balanced over time scales much greater than the residence time; otherwise, there will be large fluctuations in C.
The first general circulation climate model that combined both oceanic and atmospheric processes was developed in the late 1960s at the NOAA Geophysical Fluid Dynamics Laboratory [5] AOGCMs represent the pinnacle of complexity in climate models and internalise as many processes as possible. However, they are still under development and ...
ISS unified the Lyapunov and input-output stability theories and revolutionized our view on stabilization of nonlinear systems, design of robust nonlinear observers, stability of nonlinear interconnected control systems, nonlinear detectability theory, and supervisory adaptive control. This made ISS the dominating stability paradigm in ...