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Unformatted text preview: EL 625 Lecture 1 1 EL 625 Lecture 1 Definition : A physical system is an interconnection of physical components that perform a specific function. These components may be electrical, mechanical,hydraulic,thermal and so forth. System S u 1 u 2  u r y 1 y 2  y m Inputs or excitations Outputs or responses Inputs : signals that can be directly changed with time in order to effect indirectly desired changes in some other signals of the system which are of particular interest (which are called out puts ) Using vector notation, EL 625 Lecture 1 2 u ( t ) = u 1 ( t ) u 2 ( t ) u 3 ( t ) . . . u r ( t ) y ( t ) = y 1 ( t ) y 2 ( t ) y 3 ( t ) . . . y m ( t ) System S u ( t ) y ( t ) y ( t ) = S { u ( t ) } Inputoutput relation y e = S { u e } y e and u e represent the entire time functions y and u respectively. EL 625 Lecture 1 3 Classification of Systems Type of system Brief Description Dynamic system has memory; output at time t de pends on inputs at times other than t Static System has no memory (zero memory) ; output at time t depends on input only at time t MIMO MultiInputMultiOutput  many inputs and outputs SISO SingleInputSingleOutput  one input and one output Continuoustime differential equations Discretetime difference equations Causal System is not predictive  output depends only on past values of input Noncausal output depends on future values of input also Linear Superposition holds Nonlinear not linear  Superposition does not hold EL 625 Lecture 1 4 FiniteDimensional finite number of states required to charac terize the system  lumped system InfiniteDimensional an infinite number of state variables re...
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This note was uploaded on 12/06/2010 for the course EL 625 taught by Professor Khorami during the Spring '10 term at NYU Poly.
 Spring '10
 khorami

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