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The concepts of state and state variables are introduced. From a mathematical point of view the concept of state variables provides the means of transforming a differential equation of any order into an equivalent set of first-order equations. From a physical point of view the state of a system, specified by numeric values of the system state variables at a given time, contains all the relevant information about the system necessary to predict the behaviour of the system in the future. The state variable concept is thus very much suited for analysis of dynamic systems. Examples of the state variable concept applied to analysis of discharge from a reservoir and from two reservoirs operating in series are presented.
The concepts of state and state variables are introduced. From a mathematical point of view the concept of state variables provides the means of transforming a differential equation of any order into an equivalent set of first-order equations. From a physical point of view the state of a system, specified by numeric values of the system state variables at a given time, contains all the relevant information about the system necessary to predict the behaviour of the system in the future. The state variable concept is thus very much suited for analysis of dynamic systems. Examples of the state variable concept applied to analysis of discharge from a reservoir and from two reservoirs operating in series are presented.
State variable analysis of hydrological systems
Muzik, I. (author)
Civil Engineering and Environmental Systems ; 1 ; 270-273
1984-09-01
4 pages
Article (Journal)
Electronic Resource
English
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