20. Ta Ha/Ta Ha
I/We begin by the Blessed Name of Allah
The Immensely Merciful to all, The Infinitely Compassionate to everyone.
20:01
Ta Ha!
20:02
a. WE have not sent down The Qur’an on to you - O The Prophet - to make you distressed,
20:03
a. rather, it is a Reminder to those who stand in awe of Allah – The One and Only God.
20:04
a. It is a sending down from the One WHO created the terrestrial world and the celestial realm, so high -
20: 05
- The Immensely Merciful,
On the Throne of Almightiness HE established HIMSELF.
20:06
To HIM belongs whatever is within the celestial realm and whatever is within the terrestrial world,
as well as whatever is between and beyond them,
and whatever is even beneath the ground.
20:07
And it does not matter whether you speak aloud, HE certainly Knows all that is even secret
- in a person’s consciousness,
and whatever is even more deeply concealed - a thought which is in the subconscious.
20:08
Such is Allah!
There is no entity of worship apart from HIM!
For HIM are the Names, Most Glorious, and the Attributes of Perfection.
20:09
a. And has the narrative of Moses reached you – O The Prophet?
20:10
When Moses was traveling with his family in the Sinai desert he perceived a fire at some distance.
He said to his family:
‘Wait here!
In fact, I perceive a fire.
Maybe I can bring you a firebrand from it, or find some guidance by the fire’...
The Poem “Ya Salikayah” is a collection of verses. Hazrat Makhdoom Muhammad Hashim Thattavi has compiled it and the main thing is that he has compiled these verses by in keeping with the literature and eloquence and rules. Such a compilation is not just a matter of every ordinary person rather, this work can be done by a person who is well aware of the rules of making of poetry and verses. Hazrat Makhdoom Muhammad Hashim Thattavi was well aware of these rules but he had mastered it. The thesis writer has described the expression style and thoughts of Hazrat Makhdoom Muhammad Hashim Thattavi in his thesis and also tried to prove that Hazrat Makhdoom Muhammad Hashim Thattavi had special kind of proficiency in Arabic despite he was Non-Arab which can be seen in his these verses. These verses show the special style of Hazrat Makhdoom Muhammad Hashim Thattavi which thesis writer has proven and also proved that he has compiled this collection of verses in the best style. According to the research of thesis writer this poem is not still in the form of a book but in the form of a pen and paper format. And thesis writer has also tried to prove that the thoughts which are in these verses belong to Hazrat Makhdoom Thattavi himself. He used to shape thoughts into ideas before compiling these verses and then used to put his sincere poetry in it and compile it. It is estimated from these verses that it is affected when the audience hears and reads these verses.
Synchronization is a fundamental nonlinear phenomena observed in diverse natural systems. This dissertation contributes to the problem of synchronization of nonlinear master-slave systems under the restraints of time-delays and parametric uncertainties. We investigate the synchronization phenomena in both non-identical and identical nonlinear master-slave systems by application of a control system. To investigate the problem of synchronization for non-identical nonlinear master-slave systems, firstly, a novel mutually Lipschitz condition is proposed. Secondly, an algebraic Riccati inequality based control methodology is formulated and, further, a less conservative LMI-based robust control strategy by virtue of proposed mutually Lipschitz condition and Lyapunov stability theory is established for synchronization of two dissimilar nonlinear master-slave systems. Additionally, a novel robust adaptive control scheme for synchronization of nonlinear master-slave systems is developed that ensures a low gain controller through adaptive cancellation of the unknown mismatch in nonlinearities. Novel frameworks comprising of delay-dependent and delay-range-dependent synchronization schemes are established. The input nonlinearity is transformed into linear time-varying parameters belonging to a known range. Using the linear parameter varying (LPV) approach, applying the information of delay range, exploiting the triple-integral-based Lyapunov-Krasovskii (LK) functional and utilizing the bounds on nonlinear dynamics, nonlinear matrix inequalities for designing a simple delay-range-dependent state feedback control for synchronization of the master and the slave systems is derived. In contrast to the conventional adaptive approaches, the proposed approach is simple in design and implementation and is capable to synchronize nonlinear oscillators under input delays in addition to the slope-restricted nonlinearity. Further, time-delays are treated using an advanced delay-range-dependent approach, which is adequate to synchronize nonlinear systems with either large or small delays. Furthermore, the resultant approach is applicable to the input nonlinearity, without using any adaptation law, owing to the utilization of LPV approach. In the end, numerical simulation results are adorned for the testimony of the proposed synchronization schemes of nonlinear master-slave systems.