Lyapunov Function
نویسندگان
چکیده
منابع مشابه
Control Lyapunov Function
Power systems exhibit various modes of oscillation due to interactions among system components. Many of the oscillations are due to synchronous machine rotors swinging relative to each other. Controllable Series Devices (CSD), i.e. series connected Flexible AC Transmission Systems (FACTS) devices, such as Unified Power Flow Controller (UPFC), Controllable Series Capacitor (CSC) and Quadrature B...
متن کاملConstruction of strict Lyapunov function for nonlinear parameterised perturbed systems
In this paper, global uniform exponential stability of perturbed dynamical systems is studied by using Lyapunov techniques. The system presents a perturbation term which is bounded by an integrable function with the assumption that the nominal system is globally uniformly exponentially stable. Some examples in dimensional two are given to illustrate the applicability of the main results.
متن کاملDuality in Stability Theory: Lyapunov Function and Lyapunov Measure
In this paper, we introduce Lyapunov measure to verify weak (a.e.) notions of stability for an invariant set of a nonlinear dynamical system. Using certain linear operators from Ergodic theory, we derive Lyapunov results to deduce a.e. stability. In order to highlight the linearity of our approach, we also provide explicit formulas for obtaining Lyapunov function and Lyapunov measure in terms o...
متن کاملconstruction of strict lyapunov function for nonlinear parameterised perturbed systems
in this paper, global uniform exponential stability of perturbed dynamical systemsis studied by using lyapunov techniques. the system presents a perturbation term which isbounded by an integrable function with the assumption that the nominal system is globallyuniformly exponentially stable. some examples in dimensional two are given to illustrate theapplicability of the main results.
متن کاملLyapunov Function Synthesis Using Handelman Representations
We investigate linear programming relaxations to synthesize Lyapunov functions that establish the stability of a given system over a bounded region. In particular, we attempt to discover functions that are more readily useful inside symbolic verification tools for proving the correctness of control systems. Our approach searches for a Lyapunov function, given a parametric form with unknown coef...
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: Journal of Japan Society for Fuzzy Theory and Systems
سال: 1994
ISSN: 0915-647X,2432-9932
DOI: 10.3156/jfuzzy.6.6_1115