scholarly journals On the Output Controllability of Positive Discrete Linear Delay Systems

2017 ◽  
Vol 2017 ◽  
pp. 1-12
Author(s):  
Mouhcine Naim ◽  
Fouad Lahmidi ◽  
Abdelwahed Namir ◽  
Mostafa Rachik
Keyword(s):  
Sufficient Conditions ◽  
Discrete Systems ◽  
Necessary And Sufficient Conditions ◽  
Delay Systems ◽  
Input And Output ◽  
Linear Delay ◽  
Output Controllability ◽  
Necessary And Sufficient ◽  
Linear Discrete Systems

Necessary and sufficient conditions for output reachability and null output controllability of positive linear discrete systems with delays in state, input, and output are established. It is also shown that output reachability and null output controllability together imply output controllability.

scholarly journals Necessary and Sufficient Conditions for Oscillation of Second-Order Delay Differential Equations

2020 ◽  
Vol 75 (1) ◽  
pp. 135-146
Author(s):  
Shyam Sundar Santra
Keyword(s):  
Differential Equation ◽  
Delay Differential Equation ◽  
Delay Differential Equations ◽  
Sufficient Conditions ◽  
Second Order ◽  
Necessary And Sufficient Conditions ◽  
All Solutions ◽  
Linear Delay ◽  
Delay Differential ◽  
Necessary And Sufficient

AbstractIn this work, we obtain necessary and sufficient conditions for the oscillation of all solutions of second-order half-linear delay differential equation of the form {\left( {r{{\left( {x'} \right)}^\gamma }} \right)^\prime }\left( t \right) + q\left( t \right){x^\alpha }\left( {\tau \left( t \right)} \right) = 0Under the assumption ∫∞(r(n))−1/γdη=∞, we consider the two cases when γ > α and γ < α. Further, some illustrative examples showing applicability of the new results are included, and state an open problem.

Stability and Bifurcations in 2D Spatiotemporal Discrete Systems

2018 ◽  
Vol 28 (08) ◽  
pp. 1830026
Author(s):  
Mohamed Lamine Sahari ◽  
Abdel-Kaddous Taha ◽  
Louis Randriamihamison
Keyword(s):  
Asymptotic Stability ◽  
Current Literature ◽  
Sufficient Conditions ◽  
Discrete Systems ◽  
Necessary And Sufficient Conditions ◽  
Two Dimensional ◽  
Local Bifurcations ◽  
Stability And Bifurcations ◽  
Necessary And Sufficient

This paper deals with stability and local bifurcations of two-dimensional (2D) spatiotemporal discrete systems. Necessary and sufficient conditions for asymptotic stability of the systems are obtained. They prove to be more accurate than those in the current literature. Some definitions for the bifurcations of 2D spatiotemporal discrete systems are also given, and an illustrative example is provided to explain the new results.

Sign in / Sign up

Export Citation Format

Share Document