The application of quasi-polynomial system representation for the analysis and control of a wide class of smooth nonlinear systems is proposed in this paper. The analysis part includes the global stability analysis of the open loop system and that of the zero dynamics. It is shown that the stabilizing controller design with monomial feedback structure leads to the feasibility of bilinear matrix...

This paper studies the interconnected stability and cooperative control of large-scale linear systems. Using the technique of the bilinear matrix inequality (BMI), the necessary and sufficient conditions are given for interconnected stability and cooperative stabilization of two subsystems. It is shown that the systems can be cooperatively stabilized even if the subsystems are not stable. It is...

In this paper, we investigate a residual-based posteriori error estimates for the hp finite element approximation of general optimal control problems governed by bilinear elliptic equations. By using the hp discontinuous Galerkin finite element approximation for the control and the hp finite element approximation for both the state and the co-state, we derive a posteriori upper error bounds for...

this paper presents a comparison between variational iteration method (vim) and modfied variational iteration method (mvim) for approximate solution a system of volterra integral equation of the first kind. we convert a system of volterra integral equations to a system of volterra integro-di®erential equations that use vim and mvim to approximate solution of this system and hence obtain an appr...

g. darbo [rend. sem. math. univ. padova, 24 (1955) 84--92] used the measure of noncompactness to investigate operators whose properties can be characterized as being intermediate between those of contraction and compact operators. in this paper, we apply the darbo's fixed point theorem for solving infinite system of linear equations in some sequence spaces.