الفهرس 
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Abstract
This thesis is directed towards investigating the various aspect of the new concept of ”Consolidity”. The consolidity is defined as a ratio of the overall changes in system output parameters over the combined changes of input and system parameters in fully fuzzy environments. The new aspect is one of the important elements in the formulation of the system change pathway, which is defined as the path resulting from the combination of all successive changes induced on the system when subjected to varying environments, activities, events, or any excessive internal or external influences and happenings ”on and above” its normal stands, situations or set-points during its course of life.
The analysis is essentially based on the newly developed system paradigm of ”Time driven-event driven-parameters change”. Based on this paradigm, it is considered that any affected activity, event or varying environment is intelligently self-recorded inside the system through an incremental consolidity-scaled change of the system parameters of the stack-based layering types. This gives rise of the necessity of emphasizing ”consolidity” concept in the modeling, design and analysis of real life man-made and natural systems together with the two previously well known system concepts controllability and stability.
For this purpose this thesis is divided into two main parts: the analysis and the design:
In the analysis part, we check how the consolidity is used for appropriate choice of parameters which are selected arbitrarily before which may lead to damage the system. The analysis verification part is demonstrated by solving the problem of selecting the arbitrary matrix in Lyapunov equation for deriving the required stability conditions and also the Kalman Riccati matrix in solving Linear Quadratic Regulation problem based on the consolidity theory, also by appropriate choice of parameters for some application such as temperature control, liquid-level control and ship autopilot process.
In the design part, some free parameters are permitted in the system to obtain the best compromise among system pillars (stability, controllability, and consolidity). In this thesis, many examples and applications are included to demonstrate how to get aggregate superiority for system pillars. These applications are the disk drive, the national economy and the drug concentration.
The attained results confirm the importance of incorporation of the system consolidity as an essential pillar in both system analysis and design. Finally, steps towards building new types of systems with strong consolidity while maintaining excellent controllability and stability are strongly emphasized.