سوشل میڈیا اور اسلامی جمہوریہ پاکستان : ثقافتی مبارزہ،چیلنجزاور ممکنہ حل Social Media and the Islamic Republic of Pakistan: Clash of Civilizations, Challenges and Possible Solutions

This research explores the dynamic interaction between social media and the Islamic Republic of Pakistan, revealing a complex culture war unfolding in the digital landscape. The study examines how social media platforms have become arenas of competition, where traditional Islamic values collide with the global influence of digital communication. By examining the ways in which social media have shaped and reflected Pakistani cultural identity, the research examines the tension between modernity and conservatism, as well as challenges to established social norms. Additionally, it analyzes the role of social media in promoting communication, political discourse, and diverse voices in the context of Pakistan's cultural landscape. By shedding light on this culture war, this research contributes to understanding the complex relationship between social media and the Islamic Republic of Pakistan. Keywords: Social media, Islamic Republic of Pakistan, Clash of Civilizations, digital communication, Islamic Culture.

Robust/Optimal Control of Minimum-Phase Nolinear Systems

This thesis proposes a framework that provides suboptimal control laws for a class of minimum-phase nonlinear systems. This class includes systems whose state dynamics are an algebraic sum of their linear and nonlinear sub-dynamics. We propose a systematic method of designing a robust and optimal control law which essentially consists of two components a linear and a nonlinear. It is shown that the proposed control scheme achieves stabilization while providing suboptimality for the class of systems under consideration. Furthermore, the framework provides for a mechanism which is suitable for handling tracking and regulation problems for the class of minimum-phase nonlinear systems by using the Internal Model Principle. Astrikingfeatureoftheproposedframeworkistheflexibilityofstartingwithsynthesizing a Linear-Quadratic-Regulator for linear sub-dynamics of the system and then including a nonlinear control component that stabilizes the nonlinear sub-dynamics of the system. The flexibility offered by the proposed framework is applied firstly to a general class of linear parameter-varying and linear time-varying systems. We extend the flexibility obtained for these two systems to the class of minimum-phase nonlinear systems which are decomposable through existence of an appropriate transformation into their linear and nonlinear sub dynamics. Moreover, we also propose a simplified approach to obtain an approximate yet practical solution to the nonlinear optimal control problem by replacing the requirement of solving Hamilton-Jacobi-Bellman equations with that of the Riccati partial differential equations,andthensynthesizingthenonlinearcomponentofthecontrollawtoachieverobust and suboptimal stabilization