Next Article in Journal
About a Problem of Stabilization by Noise for a System of Linear Differential Equations
Previous Article in Journal
On a Second-Order Difference Equation with Two Periodic Coefficients
 
 
Search for Articles:
Title / Keyword
Author / Affiliation / Email
Journal
Article Type
 
 
Advanced Search
 
Section
Special Issue
Volume
Issue
Number
Page
 
Journals
Axioms
Volume 15
Issue 6
10.3390/axioms15060438
axioms-logo
Submit to this Journal Review for this Journal Propose a Special Issue
► Article Menu

Article Menu

share Share announcement Help format_quote Cite
first_page
settings
Order Article Reprints
Font Type:
Arial Georgia Verdana
Font Size:
Aa Aa Aa
Line Spacing:
Column Width:
Background:
This is an early access version, the complete PDF, HTML, and XML versions will be available soon.
Article

Controllability and Stability Analysis of Piecewise Dynamical Systems Under Integral Boundary Conditions

by
Muhammad Sarwar
1,2,*,
Sadam Hussain
1,
Manuel De La Sen
3,
Abdul Wajid
1,
Mohammadi Begum Jeelani
4 and
Kamaleldin Abodayeh
2
1
Department of Mathematics, University of Malakand, Chakdara 18000, Khyber Pakhtunkhwa, Pakistan
2
Department of Mathematics and Sciences, Prince Sultan University, Riyadh 11586, Saudi Arabia
3
Department of Electricity and Electronics, Institute of Research and Development of Processes, Faculty of Science and Technology, University of the Basque Country, Campus of Leioa, 48940 Leioa, Bizkaia, Spain
4
Department of Mathematics and Statistics, College of Sciences, Imam Mohammad Ibn Saud Islamic University (IMSIU), Riyadh 11564, Saudi Arabia
*
Author to whom correspondence should be addressed.
Axioms 2026, 15(6), 438; https://doi.org/10.3390/axioms15060438 (registering DOI)
Submission received: 30 April 2026 / Revised: 5 June 2026 / Accepted: 6 June 2026 / Published: 12 June 2026
(This article belongs to the Section Mathematical Analysis)
Versions Notes

Abstract

This work investigates the controllability and stability properties of nonlinear piecewise dynamical systems subject to integral boundary conditions studied in arbitrary time domains. The study employs powerful mathematical ideas like fixed point theorems, Gramian-type matrices and the unified approach given by the theory of time scales. This unified approach provides results applicable seamlessly in various settings of continuous-time systems, discrete-time systems, and systems with hybrid behavior of both. This paper expands existing findings in the literature, providing a more complete view. To show the application of the theoretical results, a detailed example is presented and supported by numerical simulations to confirm the efficiency of the proposed methods.
Keywords: controllability; neutral differential equations; fixed point theorem; delay controllability; neutral differential equations; fixed point theorem; delay

Share and Cite

MDPI and ACS Style

Sarwar, M.; Hussain, S.; De La Sen, M.; Wajid, A.; Jeelani, M.B.; Abodayeh, K. Controllability and Stability Analysis of Piecewise Dynamical Systems Under Integral Boundary Conditions. Axioms 2026, 15, 438. https://doi.org/10.3390/axioms15060438

AMA Style

Sarwar M, Hussain S, De La Sen M, Wajid A, Jeelani MB, Abodayeh K. Controllability and Stability Analysis of Piecewise Dynamical Systems Under Integral Boundary Conditions. Axioms. 2026; 15(6):438. https://doi.org/10.3390/axioms15060438

Chicago/Turabian Style

Sarwar, Muhammad, Sadam Hussain, Manuel De La Sen, Abdul Wajid, Mohammadi Begum Jeelani, and Kamaleldin Abodayeh. 2026. "Controllability and Stability Analysis of Piecewise Dynamical Systems Under Integral Boundary Conditions" Axioms 15, no. 6: 438. https://doi.org/10.3390/axioms15060438

APA Style

Sarwar, M., Hussain, S., De La Sen, M., Wajid, A., Jeelani, M. B., & Abodayeh, K. (2026). Controllability and Stability Analysis of Piecewise Dynamical Systems Under Integral Boundary Conditions. Axioms, 15(6), 438. https://doi.org/10.3390/axioms15060438

Note that from the first issue of 2016, this journal uses article numbers instead of page numbers. See further details here.

Article Metrics

Back to TopTop