Characterization of ultimate bounds for systems with state-dependent disturbances

Sorin Olaru (1) , Hiroshi Ito (2)

1 DISCO - Dynamical Interconnected Systems in COmplex Environments
2 Kyutech - Kyushu Institute of Technology

This paper pursues a framework of set characterization of dynamical systems with state-dependent disturbances. It aims to propose a new approach to analysis and design of nonlinear systems involving non-differentiability and asymme-tric components which hamper application and effectiveness of local linearization methods. Several characterizations of ultimate bounds are developed.The utility of shifting the fix point is formulated as a parametrization of the ultimate bounds.

Keywords: Uncertain systems

Domains: Automatic

Sorin Olaru, Hiroshi Ito. Characterization of ultimate bounds for systems with state-dependent disturbances. IEEE Control Systems Letters, 2018, 2 (4), pp.797-802. ⟨10.1109/LCSYS.2018.2849642⟩. ⟨hal-01830572⟩