This paper copes with the problem of satisfying input and/or state hard constraints in set-point tracking problems. Stability is guaranteed by synthesizing a Lyapunov quadratic function for the system, and by imposing that the terminal state lies within a level set of the function. Procedures to maximize the volume of such an ellipsoidal set are provided, and interior-point methods to solve on-...

Recently a large number of literature on fuzzy control are TS model-based control where, mostly, the common P approach searching for a single Lyapunov function remains active Wang et al. [1996], Tanaka et al. [1998], Kim and Lee [2000], Blanco et al. [2000], Tuan et al. [2001]. Another category emphasizes parameter-dependent functions with multiple Pj matrices as a candidate of Lyapunov functio...

this paper presents a simplifiedlagrangian multiplier based algorithm to solve the fixed head hydrothermalscheduling problem. in fixed head hydrothermal scheduling problem, waterdischarge rate is modeled as quadratic function of hydropower generation andfuel cost is modeled as quadratic function of thermal power generation. thepower output of each hydro unit varies with the rate of water discha...

For a large class of relay feedback systems (RFS) there will be limit cycle oscillations. Conditions to check existence and local stability of limit cycles for these systems are well known. Global stability conditions, however, are practically non-existent. This paper presents conditions in the form of linear matrix inequalities (LMIs) that guarantee global asymptotic stability of a limit cycle...

In this paper, finite time dual neural networks with a new activation function are presented to solve quadratic programming problems. The activation function has two tunable parameters, which give more flexibility to design a neural network. By Lyapunov theorem, the finite-time stability can be derived for the proposed neural networks model, and the actual optimal solutions of the quadratic pro...

This paper studies the problem of stabilization with optimal performance for dissipative DIHS discrete-time impulsive hybrid systems . By using Lyapunov function method, conditions are derived under which the DIHS with zero inputs is GUAS globally uniformly asymptotically stable . These GUAS results are used to design feedback control law such that a dissipative DIHS is asymptotically stabilize...

| In the present paper, the Second Method of Lyapunov is utilized to establish suucient conditions for the global asymptotic stability of the trivial solution of zero-input 2{D (two-dimensional) Fornasini-Marchesini state-space digital lters which are endowed with a general class of overrow nonlinearities. Results for the global asymptotic stability of the null solution of the 2{D Fornasini-Mar...

In this short paper, the second method of Lyapunov is utilized to establish sufficient conditions for the global asymptotic stability of the trivial solution of zero-input two-dimensional (2-D) Fornasini–Marchesini state-space digital filters which are endowed with a general class of overflow nonlinearities. Results for the global asymptotic stability of the null solution of the 2-D Fornasini–M...

This study employed Lyapunov function method to investigate the stability of nonlinear ordinary differential equations. Using direct method, we constructed sixth order We find $ V(x) $, a quadratic form, positive definite and U(x) which is also was chosen such that derivative with respect time equal negative value $.