Nonlinear control system. Local observability. Real radical. Germ. Rank condition. 1 Introduction In 1977 Hermann and Krener [5] first proved the well-known rank condition for local observability of nonlinear
polynomial systemsalgebraic geometryIt is very difficult to check the observability of nonlinear systems. Even for local observability, the observability rank condition provides only a sufficient condition. Much more difficult is the verification of global observability. This paper deals with the local ...
In the first two sections of this chapter we will give some basic concepts and results in the study of controllability and observability for nonlinear systems. Roughly speaking we will restrict ourselves to what can be seen as the nonlinear generalizations of the Kalman rank conditions for ...
Controllability of structural brain networks(结构脑网络的可控性) 热度: Controllability Observability and Stability of :可控性,可观测性,稳定性 热度: Controllability of Partial Differential Equations :偏微分方程的可控性 热度: 相关推荐J. Nonlinear Sci. Appl. 4 (2011), no. 4, 281–291...
and uniformly with respect to the diffusion parameterdv∈(1,+∞). In order to do this, we prove the (uniform) null-controllability of the linearized system thanks to an observability estimate obtained through adapted Carleman estimates for ODE–PDE. To pass to the nonlinear system, we use a...
Observabilitynonlinear systemssufficient conditionscontrol theoryThe structure and excess energy of the end region of certain one-dimensional systems are investigated. Fowler''s expression for the surface excess energy is found to be exact for a Takahashi system with an ideal, fixed end-point. Exact ...
We thus conclude that most of the cells which proliferate in the local GVHR and their progeny died in situ about the 8th day under the conditions of these experiments. (C) Williams & Wilkins 1973. All Rights Reserved. 展开 关键词: Observability nonlinear systems sufficient conditions control ...
A comparison of these rules with available experimental data shows there is some correlation between the occurrence of emission and the absence of a promoting mode among the skeletal vibrations of the complex considered. 展开 关键词: Observability nonlinear systems sufficient conditions control theory ...
Based on a new paradigm of neural networks consisting of neurons with local memory (NNLM), we discuss the representation of a control system by neural networks. Using this representation, the basic issues of complete controllability and observability for the system are addressed. A separation ...
Two results on robustness of observability for linear time-varying systems are presented, based on which, it is shown that, the observability of corresponding linearized system implies local observability of the original nonlinear system. A numerical example is given to demonstrate the presented result...