Lyapunov function
A Control Lyapunov Function Approach for Nonlinear Web Winding System
... ABSTRACT: The aim of this paper is to design a law control of a nonlinear web winding system using the Lyapunov stability theory. The Lyapunov function is a powerful tool for the stability analysis ...
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A New Approach to Stabilization of Continuous- Time T-S Fuzzy Control Systems via Fuzzy Lyapunov Function
... [17]-[54]. Lyapunov stability theory is the main approach used in the stability analysis and control synthesis of the T-S fuzzy control ...quadratic Lyapunov function (CQLF), in which the conditions ...
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MPC for LPV Systems Based on Parameter Dependent Lyapunov Function with Perturbation on Control Input Strategy
... In order to reduce the conservativeness, the idea of controlling nonlinear systems by using linear parameter varying (LPV) systems has been widely investigated. At each sampling instant, the scheduling parameter is ...
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Lur’e Postnikov Lyapunov function approach to global robust Mittag Leffler stability of fractional order neural networks
... on Lyapunov functional ...the Lyapunov function for solving the stability of FNNs is the absolute value function V (t) = n i= δ i |x i |, see ...
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Nonlinear Uncertain HIV 1 Model Controller by Using Control Lyapunov Function
... The function of these parameters is reflecting the characteristics of studied phe- nomena such that death rate of productive infected CD4 + T cells for the HIV ...control Lyapunov function, if ...
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DESIGN OF LYAPUNOV FUNCTION BASED CURRENT CONTROLLER TO CONTROL POWER FLOW FROM RENEWABLE ENERGY SOURCE TO MICROGRID SYSTEM
... proposed . The number of controllers needed forsuch unbalanced control is shown to be only two unlikemultiple controllers as mentioned in. The proposed controller is also implemented in the a–b–c frame which eliminates ...
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Guaranteed Cost Control of Uncertain Discrete Time Systems Subjected to Actuator Saturation via Homogenous Polynomial Lyapunov Function
... Abstract. Estimation of an optimal controller is a fundamental problem in control engineering and is widely known as Optimization. Numerous computation and numerical techniques have been evolved during the past years for ...
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Synchronization of fractional chaotic systems based on a simple Lyapunov function
... Lyapunov function. Then we propose a new fractional-order ex- tension of Lyapunov direct method and a control method for synchronizing an arbitrary fractional-order chaotic ...
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Computation of the stochastic basin of attraction by rigorous construction of a Lyapunov function
... The outline of the paper is as follows: In Section 2 we recall the definition of the γ-basin of attraction and its determination using a pair of a local and a non-local Lyapunov function. In Section 3 we ...
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Global dynamics of two systems of exponential difference equations by Lyapunov function
... This work is related to the qualitative behavior of some systems of exponential rational difference equations. We have investigated the existence and uniqueness of the positive steady state of system () and (). For all ...
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Global stability of diabetic children with electronic gadgets using Lyapunov function
... the people including children. Children tend to remain busy for long time with these gadgets causing lack of physical activities resulting obesity. The obesity is significant cause for type II diabetes mellitus, ...
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A Lyapunov Function Based Control Technique for the Stable operation of DG Units in Smart Grid
... This section briefly discusses the space vector PWM principle. This PWM method is frequently used in vector controlled and direct torque controlled drives. In vecto[r] ...
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Receding horizon control of nonlinear systems: a control Lyapunov function approach
... As we saw in Chapter 6, trajectory morphing ideas can be used in conjunction with receding horizon schemes to generate trajectories for nonlinear systems such as the vectored thrust mode[r] ...
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Generation of Lyapunov Functions by Neural Networks
... Due to the lack of specific method to determine a Lyapunov function, this function is generally obtained based on trail and error. Systems with high complex nonlinearities and more dimensions make ...
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Review on computational methods for Lyapunov functions
... compute Lyapunov functions for various kinds of ...than Lyapunov functions. In some of these methods, the computed function does not fulfill all the properties of a Lyapunov function in ...
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Lyapunov Design for Safe Reinforcement Learning
... In Section 3.1 we presented two theorems that are useful for designing safe reinforcement learning agents. One of these is mainly relevant to deterministic environments, while the other is applicable to stochastic ...
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TIME-VARYING LYAPUNOV FUNCTIONS AND LYAPUNOV STABILITY OF NONAUTONOMOUS FRACTIONAL ORDER SYSTEMS
... fractional Lyapunov direct method has a limitation and a difficulty, when it comes to the stability analysis of fractional order ...a Lyapunov function for a given fractional order ...of ...
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Lyapunov, Floquet, and singular vectors for baroclinic waves
... bances, referred to here as singular vectors (SVs), generally exhibit transient growth, and do not have fixed modal struc- ture (e.g. Lorenz, 1965; Farrell, 1989). In this section, SVs are computed on the 157 unstable ...
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A two variable approach to solve the polynomial Lyapunov equation
... The paper is organized as follows. In Section 2 we introduce several concepts regarding polynomial matrices and shifts in a single variable. In Section 3 these notions are extended to the case of symmet- ric two-variable ...
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On the Lyapunov equation in Banach spaces and applications to control problems
... By extending the Lyapunov equation A ∗ Q +QA = −P to an arbitrary infinite-dimensional Banach space, we give stability conditions for a class of linear differential systems. Rela- tionship between stabilizability ...
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