This paper presents a generalization of the Kalman filter for linear and nonlinear fractional
order discrete state-space systems. Linear and nonlinear discrete fractional order state …

A new class of fractional linear continuous-time linear systems described by state equations
is introduced. The solution to the state equations is derived using the Laplace transform …

Slow convergence and low accuracy are two main drawbacks in nonlinear system
identification methods. It becomes more complicated when time delay and noises are …

Dear editor, This letter focuses on the encoding-decoding-based recursive filtering problem
for a class of fractional-order systems. For the purpose of protecting security of the wireless …

This paper presents a series of new results on the asymptotic stability of discrete-time
fractional difference (FD) state space systems and their finite-memory approximations called …

This monograph is addressed to the realization problem of positive fractional continuous-
time, discrete-time and continuous-discrete time linear systems. Roughly speaking the …

In this article, the Tobit Kalman filtering problem is investigated for a class of discrete time‐
varying fractional‐order systems in the presence of measurement censoring and stochastic …

This paper deals with time domain identification of fractional order systems. A new
identification technique is developed providing recursive parameters estimation of fractional …

A notion of positive fractional discrete-time system is introduced. Necessary and sufficient
conditions are established for the positivity, reachability and controllability to zero of …

As a position servo system to isolate disturbance from its carrier, stabilized platform requires
high-precision and high-adaptability control. However, conventional integer-order PID …