Stabilization of dynamical systems is a very important problem and has received great attention. The solution of such problems can be achieved for linear autonomous small scale (centralized) systems with specific parameters using the conventional control theory. This leads to the design of a centralized controller which determines the control actions based on the centralized structure. However, with the development of modern technology, the size and complexity of the systems are increasing everyday, stabilization of large scale systems using centralized techniques is therefore not feasible. And decentralized techniques are an attractive approach for large scale systems stabilization. Our objective in this research is to investigate the stability of linear nonautonomous large scale systems with uncertain parameters. Both feedback-free and feedback control systems will be studied. The technique is based upon using a Lyapunov function to disconnect and reassemble the subsystems in different ranges. So new criteria for studying and designing the finite-time or uniform stability can be developed. These criteria can also be used to design or estimate the convergence rate of the global system. In addition, since small scale (centralized) systems. Examples are given. Application and extensions are also discussed.
This research studied the methods and techniques that can be applied to measure the surface finish of a cylindrical part during the grinding process. The applicability, capability, and feasibility of the techniques and roughness measurement methods are the main research objectives. Through a literature survey and various technique investigations, it was established that an ultrasonic technique has the greatest promise.