Input-to-state stability of neutral type systems
نویسندگان
چکیده
منابع مشابه
Input-to-state stability of Lur'e systems
An input-to-state stability theory, which subsumes results of circle criterion type, is developed in the context of continuous-time Lur’e systems. The approach developed is inspired by the complexified Aizerman conjecture.
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We analyze input-to-state stability (ISS) for the feedback interconnection of a linear block and a nonlinear element. This study is of importance for establishing robustness against actuator nonlinearities and disturbances. In the absolute stability framework, we prove ISS from a positive real property of the linear block, by restricting the sector nonlinearity to grow unbounded as its argument...
متن کاملInput-to-state stability of infinite-dimensional control systems
We develop tools for investigation of input-to-state stability (ISS) of infinite-dimensional control systems. We show that for certain classes of admissible inputs the existence of an ISS-Lyapunov function implies the inputto-state stability of a system. Then for the case of the systems described by abstract equations in Banach spaces we develop two methods of construction of local and global I...
متن کاملCharacterizations of input-to-state stability for infinite-dimensional systems
We prove characterizations of input-to-state stability (ISS) for a large class of infinite-dimensional control systems, including some classes of evolution equations over Banach spaces, time-delay systems, ordinary differential equations (ODE), switched systems. These characterizations generalize wellknown criteria of ISS, proved by Sontag and Wang for ODE systems. For the special case of diffe...
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ژورنال
عنوان ژورنال: Discussiones Mathematicae. Differential Inclusions, Control and Optimization
سال: 2013
ISSN: 1509-9407,2084-0365
DOI: 10.7151/dmdico.1143