We provide necessary conditions for the stabilization of nonlinear control systems with the additional requirement that a time-invariant homogeneous Lyapunov function exists for the closed-loop system.

Control input-output contact systems are the representation of open irreversible Thermodynamic systems whose geometric structure is defined by Gibbs’ relation. These systems are called conservative if furthermore they leave invariant a particular Legendre submanifold defining their thermodynamic properties. In this paper we address the stabilization of controlled input-output contact systems. F...

DC microgrid systems (DCMGs) feed power to constant loads (CPLs) via transmission lines. Although these are commonly used worldwide, CPLs have negative impedance effects. These can significantly degrade the system stability. Therefore, stability study is very important avoid inefficient operations. The model proposed in this article be derived using a combination of direct quadrature (DQ) metho...

Amino acids composing a flexible loop (loop 6) of the eight-stranded barrel domain of the L-subunit of Synechococcus ribulose bisphosphate carboxylase/oxygenase (EC 4.1.1.39) involved in reaction intermediate stabilization have been modified by site-specific mutagenesis. Changes at positions both distant and within the active site affect overall catalysis and substrate partitioning. Most signif...

This research applied Proportion and Integration (PI) type fuzzy methods for mobile satellite antenna control system design. The detailed block diagram of a satellite antenna tracking system is very lousy; it is very difficult to obtain the key parameters for analyses and simulation. Thus a simplified model of antenna pitching or yawing control system is applied to speed up the design and obtai...

This paper investigates the problem of exponential stabilization for a class of uncertain nonlinear systems by means of periodically intermittent control. Several sufficient conditions of exponential stabilization for this class of uncertain nonlinear systems are formulated in terms of a set of linear matrix inequalities by using quadratic Lyapunov function and inequality analysis technique. Al...