Fractional Linear Systems with Memory Deficiency and Their State-Space Integer-Order Approximation

The current state vector in non-integer order systems depends on large number of previous states, i.e. on the memory efficiency of the system. If a memory impairment occurs, the current fractional order system switches to the system with another behavior. In the paper some non-integer order models of biological-like systems with memory deficiency are defined and a state-space integer-order approximation of such models is introduced. Some numerical examples of such approximation are shown.

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