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Relaxation systems and cyclic monotonicity
- Publication Year :
- 2023
-
Abstract
- It is shown that an LTI system is a relaxation system if and only if its Hankel operator is cyclic monotone. Cyclic monotonicity of the Hankel operator implies the existence of a storage function whose gradient is the Hankel operator. This storage is a function of past inputs alone, is independent of the state space realization, and admits a generalization to nonlinear circuit elements.<br />Comment: Accepted to the 2023 IEEE Conference on Decision and Control
- Subjects :
- Mathematics - Optimization and Control
Subjects
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.2312.03389
- Document Type :
- Working Paper