Linear impulsive dynamic systems on time scales

By Vasile Lupulescu, Akbar Zada. 2010

48 citations recorded by the source corpus.

The purpose of this paper is to present the fundamental con- cepts of the basic theory for linear impulsive systems on time scales. First, we introduce the transition matrix for linear impulsive dynamic systems on time scales and we establish some properties of them. Second, we prove the existence and uniqueness of solutions for linear impulsive dynamic systems on time scales. Also we give some sufficient conditions for the stability of linear impulsive dy- namic systems on time scales.

Subfields: Applied Mathematics, Control and Systems Engineering, Public Health, Environmental and Occupational Health

View Paper: https://www.semanticscholar.org/paper/f0869c11732d32f69517c0190e60f1860a1c3458

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Applied Mathematics

1. Akbar Zada
2. Tongxing Li
3. Shah Faisal
4. Syed Omar Shah

In Control and Systems Engineering

1. Akbar Zada
2. Tongxing Li

In Public Health, Environmental and Occupational Health

1. Akbar Zada
2. Tongxing Li

Citations in the corpus

• Stability of higher-order nonlinear impulsive differential equations (2016, result): “One of the main reasons for this lies in the fact that, as pointed out by Lupulescu and Zada [15], Rogovchenko [23], Wang and Liu [28], Wang and Wu [29], and Wang et al.”
• On the Hyers-Ulam Stability of First-Order Impulsive Delay Differential Equations (2016, unknown): “To studymorework on impulsiveODEswe recommend [32–35].”