A Discrete-time Dynamic Analysis of Interregional Population Systems

Optimal Finite-time Control of Positive Linear Discrete-time Systems

This paper considers solving optimization problem for linear discrete time systems such that closed-loop discrete-time system is positive (i.e., all of its state variables have non-negative values) and also finite-time stable. For this purpose, by considering a quadratic cost function, an optimal controller is designed such that in addition to minimizing the cost function, the positivity proper...

A Robust Control Design Technique for Discrete-Time Systems

A robust state feedback design subject to placement of the closed loop eigenvalues in a prescribed region of unit circle is presented. Quantitative measures of robustness and disturbance rejection are investigated. A stochastic optimization algorithm is used to effect trade-off between the free design parameters and to accomplish all the design criteria. A numerical example is given to illustra...

Analysis and Nonlinear Control of Implicit Discrete-time Dynamic Systems

This contribution is concerned with the observability and accessibility analysis of implicit discrete-time dynamic systems. The presented approach is motivated by a geometric representation of discrete-time systems and the crucial observation that the Lie group investigations known for implicit continuoustime dynamic systems is also appropriate in the discrete-time scenario. The obtained formal...

Dynamic Complexity in Discrete - Time Population Models

Discrete-time systems analysis