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- W2495007966 abstract "The representation of physical or abstract systems by differential equations is widespread and the behaviour of any system is often investigated in terms of the response of a single variable — perhaps position for a mechanical system —due to initial conditions or an applied input. Although the single-variable response may be the only result of immediate interest, there may be additional variables in the system; for instance a change in position implies the variables of velocity and acceleration within the system. Similarly a voltage change at one point in an electrical system can imply changes at other points in the system. If these additional variables are independent, for example in a system such as figure 1.2a, there may be a displacement y, but the velocity dy/dt can have any value and is not dependent on the displacement; then a complete description of the condition or state of the system requires a knowledge of both y and dy/dt. In general a complete description of any system requires the values of all independent variables to be known." @default.
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- W2495007966 date "1977-01-01" @default.
- W2495007966 modified "2023-10-16" @default.
- W2495007966 title "Principles of State-variable Analysis" @default.
- W2495007966 cites W2030415394 @default.
- W2495007966 doi "https://doi.org/10.1007/978-1-349-01840-6_1" @default.
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