In the design of the control system, the stability of the system is one of the most important problems which are concerned by people. No matter for normal linear systems, Large-scale linear descriptor systems or for uncertain grey discrete dynamic systems, unstable systems always worth nothing practically. Especially because of the particularity and complexity of
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Descriptor systems provide us a more general description of physical systems, and this description is of great advantage than normal systems. Consequently and undoubtedly, singular systems have led us into a virgin land which is full of challenges and opportunities. Recently, more and more scientists and engineers are becoming absorbed in this field and therefore,
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With the incessant expansion of the fields of system theory and the increasing maturity and popularity of computer science, generalized control systems have been developed quickly. Since nonlinear singular systems are more suitable to describe objective systems, it is special necessary to research them. This thesis is outspreaded by nonlinear singular systems. The main contents
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The asymptotic stability and stabilization problem is one of the fundamental problems in the theory of singular large-scale system. The study of them is much more complicated than that of state-space systems because the singular large-scale system requires considering not only stability, but also regularity and causality (for discrete singular systems) or impulse immunity (for
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Switched systems are important class of hybrid systems,which have been widely applied to the engineering and have great significance of theoretical study. Switched systems consist of more than one subsystem and a switching rule indicating the active subsystem at each instant of time. The state trajectory of system is continuous at the time when the
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