Input-to-State Stability Analysis of Subhomogeneous Cooperative Systems
نویسندگان
چکیده
منابع مشابه
Stability and Positivity of Equilibria for Subhomogeneous Cooperative Systems
Building on recent work on homogeneous cooperative systems, we extend results concerning stability of such systems to subhomogeneous systems. We also consider subhomogeneous cooperative systems with constant input, and relate the global asymptotic stability of the unforced system to the existence and stability of positive equilibria for the system with input.
متن کاملInput-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.
متن کاملConnection between cooperative positive systems and integral input-to-state stability of large-scale systems
We consider a class of continuous-time cooperative systems evolving on the positive orthant R+. We show that if the origin is globally attractive, then it is also globally stable and, furthermore, there exists an unbounded invariant manifold where trajectories strictly decay. This leads to a small-gain type condition which is sufficient for global asymptotic stability (GAS) of the origin. We es...
متن کاملInput-to-state stability for a class of Lurie systems
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 کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: IEEE Access
سال: 2020
ISSN: 2169-3536
DOI: 10.1109/access.2020.2991779