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In this work, we focus on the properties of trajectory in discrete-time system, under some conditions, the behavior of this class of systems' trajectory is studied. Using this properties, several characterizations of discrete-time system are also given, which is very helpful to study the ISS property of discrete-time system.
This paper develops a unified Lyapunov approach to analysis of self-induced oscillations and stability for systems with piecewise linear components. For self-induced oscillation within a global or regional attractor, invariant level sets of a piecewise quadratic Lyapunov function are obtained to bound the attractor via linear matrix inequality based optimization. The analysis results for self-induced...
In this paper, we consider model reference Hinfin trajectory tracking control of nonlinear systems represented by Takagi-Sugeno (T-S) fuzzy descriptor systems. The descriptor system describes a wider class of systems and the standard state-space systems representation is a special case of descriptor systems. The dynamics of the given nonlinear system are represented by a fuzzy descriptor system and...
We consider a stabilization problem of approximately feedback linearizable systems. We introduce a perturbation parameter by applying high-gain feedback and use both the feedback linearization method and the singular perturbation method for the controller design. Through this, we can overcome the rigorous conditions of the feedback linearization method and can reduce the dimension of the slow model...
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