Separable Lyapunov functions for monotone systems
Separable Lyapunov functions play vital roles, for example, in stability analysis of large-scale systems. A Lyapunov function is called max-separable if it can be decomposed into a maximum of functions with one-dimensional arguments. Similarly, it is called sum-separable if it is a sum of such funct...
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| creator | Rantzer, Anders Ruffer, Bjorn S. Dirr, Gunther |
| description | Separable Lyapunov functions play vital roles, for example, in stability analysis of large-scale systems. A Lyapunov function is called max-separable if it can be decomposed into a maximum of functions with one-dimensional arguments. Similarly, it is called sum-separable if it is a sum of such functions. In this paper it is shown that for a monotone system on a compact state space, asymptotic stability implies existence of a max-separable Lyapunov function. We also construct two systems on a non-compact state space, for which a max-separable Lyapunov function does not exist. One of them has a sum-separable Lyapunov function. The other does not. |
| doi_str_mv | 10.1109/CDC.2013.6760604 |
| format | Conference Proceeding |
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| identifier | ISSN: 0191-2216 |
| ispartof | 52nd IEEE Conference on Decision and Control, 2013, p.4590-4594 |
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| source | IEEE Electronic Library (IEL) Conference Proceedings |
| subjects | Asymptotic stability Control Engineering Electrical Engineering, Electronic Engineering, Information Engineering Elektroteknik och elektronik Engineering and Technology Interconnected systems Large-scale systems Lyapunov functions Lyapunov methods monotone systems Reglerteknik stability Stability analysis Teknik Trajectory Vectors |
| title | Separable Lyapunov functions for monotone systems |
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