Title of Paper:Nonlinear norm-observability and simulation of control systems

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Date of Publication:2017-07-01

Journal:SYSTEMS & CONTROL LETTERS

Included Journals:SCIE、EI、Scopus

Volume:105

Page Number:14-19

ISSN No.:0167-6911

Key Words:Norm-observability; Simulation relation; Nonlinear control system; Observability propagation

Abstract:The (bi)simulation relation has recently been attracting growing interest in the study of nonlinear control systems, in the hope that through such a relation, the behaviors and properties of a nonlinear system can be inferred from those of another system which is easier to handle. In this paper, we consider the propagation of the property of nonlinear norm-observability through a simulation relation. Given two control systems that are related by a graph simulation relation, we derive conditions under which the norm-observability of the simulating system implies the norm-observability of the simulated system. The obtained results are given in terms of set-valued functions. Several examples are included to illustrate various applications of our results. (C) 2017 Elsevier B.V. All rights reserved.