The state at any future time,, may be determined exactly given knowledge of the initial state,, and the time history of the inputs,, between and by integrating Equation (1). is the vector of external inputs to the system at time, and is a (possibly nonlinear) function producing the time derivative (rate of change) of the state vector,, for a particular instant of time. For instance, in a simple mechanical mass-spring-damper system, the two state variables could be the position and velocity In the above equation, is the state vector, a set of variables representing the configuration of the system at time. For many physical systems, this rule can be stated asĪ set of first-order differential equations: ![]() Entering Transfer Function Models into MATLABÄynamic systems are systems that change or evolve in time according to a fixed rule.Entering State-Space Models into MATLAB.
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