Uniting Two Control Lyapunov Functions for Affine Systems
نویسندگان
چکیده
منابع مشابه
Quadratic Control Lyapunov Functions for Bilinear Systems
In this paper the existence of a quadratic control Lyapunov function for bilinear systems is considered. The existence of a control Lyapunov function ensures the existence of a control law which ensures the global asymptotic stability of the closed loop control system. In this paper we will derive conditions for the existence of a control Lyapunov function for bilinear systems. These conditions...
متن کاملAffine Parameter-Dependent Lyapunov Functions for LPV Systems with Affine Dependence
This paper deals with the certification problem for robust quadratic stability, robust state convergence, and robust quadratic performance of linear systems that exhibit bounded rates of variation in their parameters. We consider both continuous-time (CT) and discrete-time (DT) parameter-varying systems. In this paper, we provide a uniform method for this certification problem in both cases and...
متن کاملComplete Lyapunov functions of control systems
In this paper, the notion of complete Lyapunov function of control systems is introduced. The purpose is to determine a continuous real-valued function that describes the global structure of the system. The existence of complete Lyapunov functions is proved for certain classes of affine control systems on compact manifolds. © 2011 Elsevier B.V. All rights reserved.
متن کاملLyapunov Modes and Time-Correlation Functions for Two-Dimensional Systems
The relation between the Lyapunov modes (delocalized Lyapunov vectors) and the momentum autocorrelation function is discussed in two-dimensional hard-disk systems. We show numerical evidence that the smallest time-oscillating period of the Lyapunov modes is twice as long as the time-oscillating period of momentum autocorrelation function for both square and rectangular two-dimensional systems w...
متن کاملComposite quadratic Lyapunov functions for constrained control systems
The composite quadratic function based on a group of quadratic functions was introduced in our recent paper [7]. Some important properties of this Lyapunov function were revealed. We showed that this function is continuously differentiable and its level set is the convex hull of a group of ellipsoids. In this paper, we use these results to study the set invariance properties of linear systems w...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: IEEE Transactions on Automatic Control
سال: 2010
ISSN: 0018-9286,1558-2523
DOI: 10.1109/tac.2010.2049689