Oscillatory behaviour of controllable single-input single-output positive linear discrete-time systems

1995 ◽  
Vol 12 (3) ◽  
pp. 235-243 ◽  
Author(s):  
V. G. RUMCHEV ◽  
D. J. G. JAMES
Keyword(s):  
Discrete Time ◽  
Oscillatory Behaviour ◽  
Single Input Single Output ◽  
Single Output ◽  
Discrete Time Systems ◽  
Single Input ◽  
Time Systems

scholarly journals Stabilization of Positive Linear Discrete-Time Systems by Using a Brauer’s Theorem

2014 ◽  
Vol 2014 ◽  
pp. 1-6 ◽  
Author(s):  
Begoña Cantó ◽  
Rafael Cantó ◽  
Snezhana Kostova
Keyword(s):  
Discrete Time ◽  
Stochastic Systems ◽  
Sufficient Conditions ◽  
Closed Loop System ◽  
Single Input Single Output ◽  
Single Output ◽  
Discrete Time Systems ◽  
Single Input ◽  
Linear State ◽  
Time Systems

The stabilization problem of positive linear discrete-time systems (PLDS) by linear state feedback is considered. A method based on a Brauer’s theorem is proposed for solving the problem. It allows us to modify some eigenvalues of the system without changing the rest of them. The problem is studied for the single-input single-output (SISO) and for multi-input multioutput (MIMO) cases and sufficient conditions for stability and positivity of the closed-loop system are proved. The results are illustrated by numerical examples and the proposed method is used in stochastic systems.

scholarly journals Realization problem for positive linear systems with time delay

2005 ◽  
Vol 2005 (4) ◽  
pp. 455-463 ◽  
Author(s):  
Tadeusz Kaczorek
Keyword(s):  
Time Delay ◽  
Sufficient Conditions ◽  
Realization Problem ◽  
Single Input Single Output ◽  
Single Output ◽  
Discrete Time Systems ◽  
Single Input ◽  
Necessary And Sufficient ◽  
Time Systems ◽  
Proper Rational Function

The realization problem for positive single-input single-output discrete-time systems with one time delay is formulated and solved. Necessary and sufficient conditions for the solvability of the realization problem are established. A procedure for computation of a minimal positive realization of a proper rational function is presented and illustrated by an example.

scholarly journals Comparative study of zero effects in pole-placement control system design via the shift and delta transforms

2005 ◽  
Vol 18 (3) ◽  
pp. 439-451
Author(s):  
Milica Naumovic
Keyword(s):  
Control System ◽  
System Design ◽  
Pole Placement ◽  
Control System Design ◽  
Single Input Single Output ◽  
Single Output ◽  
Continuous Time Systems ◽  
Single Input ◽  
Pole Placement Control ◽  
Time Systems

This paper deals with the special replacement of the shift operator and its associated z transform by delta operator and ? transform, respectively. The aim of the paper is to clarify the role of zeros of discretized linear single input single output continuous-time systems modeled by shift and delta operators. In particular, the effect of zero dynamics on the control system design based on classical pole-zero assignment in the case of both operators is considered. The analysis is illustrated by simulation results.

REALIZATION PROBLEM FOR POSITIVE CONTINUOUS-TIME SYSTEMS WITH DELAYS

2006 ◽  
Vol 06 (02) ◽  
pp. 289-298 ◽  
Author(s):  
KACZOREK TADEUSZ
Keyword(s):  
Continuous Time ◽  
Sufficient Conditions ◽  
Realization Problem ◽  
Single Input Single Output ◽  
Single Output ◽  
Continuous Time Systems ◽  
Single Input ◽  
Minimal Realizations ◽  
Time Systems ◽  
Time Linear

The realization problem for positive, continuous-time linear single-input, single-output systems with delays is formulated and solved. Sufficient conditions for the existence of positive realizations of a given proper transfer function are established. A procedure for computation of positive minimal realizations is presented and illustrated by an example.

SINGLE-INPUT MULTI-OUTPUT STATE-FEEDBACK CHAOTIFICATION OF GENERAL DISCRETE SYSTEMS

2004 ◽  
Vol 14 (09) ◽  
pp. 3317-3323 ◽  
Author(s):  
HUAIZHOU ZHANG ◽  
GUANRONG CHEN
Keyword(s):  
Discrete Time ◽  
State Feedback ◽  
Discrete Systems ◽  
Input State ◽  
Output State ◽  
Discrete Time Systems ◽  
Multiple Input ◽  
Single Input ◽  
Time Systems

This Letter improves the Chen–Lai chaotification algorithm for discrete-time systems from multiple-input to single-input state feedback, while preserving its mathematical rigor.

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