A Class of Continuous-Time Linear Systems Having a Common Lyapunov Function

Enlarging Domain of Attraction for a Special Class of Continuous-time Quadratic Lyapunov Function Piecewise Affine Systems based on Discontinuous Piecewise

This paper presents a new approach to estimate and to enlarge the domain of attraction for a planar continuous-time piecewise affine system. Various continuous Lyapunov functions have been proposed to estimate and to enlarge the system’s domain of attraction. In the proposed method with a new vision and with the aids of a discontinuous piecewise quadratic Lyapunov function, the domain of attrac...

The Structure of Common Linear Copositive Lyapunov Functions for Continuous time Switched Positive Linear Systems

This paper addressed the structure of common linear copositive Lyapunov function (CLCLFs) for continuoustime switched positive linear systimes (CSPLS). In this note, first of all, for the n×n-dimensinal matrices family, which entries are the Hurwitz and Metzler switch matrices of an n-dimensional CSPLS, we presented, by a straightforward algebraic computation, a procedure for constructing a gro...

Lyapunov techniques for a class of hybrid systems and reset controller syntheses for continuous-time plants

Applied Lyapunov Stability on Output Tracking Problem for a Class of Discrete-Time Linear Systems

The robust tracking and model following problem of linear discrete-time systems is investigated in this paper. An approach to design robust tracking controllers is proposed. The system is controlled to track dynamic inputs generated from a reference model. By using the solution of the Lyapunov equation, the convergence of the tracking error to the origin, is proved. The proposed approach employ...

Design of Lyapunov Function Based Fuzzy Logic Controller for a Class of Discrete-Time Systems

In this paper, we present a new fuzzy logic controller (FLC) for discrete-time systems. All the decision rules of FLC are automatically generated by the Lyapunov stability criterion. The proposed control scheme can be easily derived with minimum information of the controlled plant. Furthermore, the fuzzy inference scheme can successfully be applied to stabilize the nonlinear discrete-time syste...