This paper studies the stochastic stability of genetic regulatory networks with intrinsic and extrinsic noises. A delay dependent stability condition with disturbance attenuation is derived for the stochastic genetic networks with time-varying delays. The developed criteria can be tested efficiently by Matlab LMI Control Toolbox. A numerical example with simulations is given to illustrate the e...

Stochastic versions of stability equations are developed in order to develop integrated models of transition and turbulence and to understand the effects of uncertain initial conditions on disturbance growth. Stochastic forms of the resonant triad equations, a high Reynolds number asymptotic theory, and the parabolized stability equations are developed.

In this note a simple formula for the real stability radius of uncertain positive linear continuous time systems is established and it is shown that the real stability radius coincides with the complex one. Arbitrary disturbance norms induced by monotonic vector norms (e.g. p-norms, 1 p 1) are considered. The distance of intervals of positive systems from instability is also determined.

A non-minimum phase nonlinear ship model from rudder to roll angle is used to design a stable controller for simultaneous roll damping and course keeping. The controller is stable in presence of 1st-order wave disturbance and modeling errors provided that the magnitude of the model error and disturbance are known. Stability is proved by using Lyapunov theory, and the simulation results showed e...

This paper addresses the disturbance attenuation problem in nonlinear moving horizon control. Conceptually a minimax formulation with a general dissipation constraint is suggested and theoretical results on closed-loop dissipation, L2 disturbance attenuation and stability are discussed. The implementation issue is attacked with respect to tracking a reference trajectory in the presence of exter...

Stability limits place restrictions on the economic operation of power systems. Calculation of these limits is therefore very important, but has traditionally been quite difficult. This paper proposes an iterative algorithm for determining parameter values that result in marginal stability of a system. (A system is marginally stable for a particular disturbance if the postdisturbance trajectory...

This paper presents a simple model predictive control (MPC) approach to control the power injection system (PIS) for renewable energy applications. A DC voltage source and a single-phase inverter that is connected to the grid by an LCL filter form the PIS. Grid voltage is considered a disturbance for the system. For eliminating this disturbance, a modified model is proposed. It is usual to ...

Solution to the safe and collision-free trajectory of the wheeled mobile robot in cluttered environments containing the static and/or dynamic obstacle has become a very popular and challenging research topic in the last decade. Notwithstanding of the amount of publications dealing with the different aspects of this field, the ongoing efforts to address the more effective and creative methods is...

This paper presents a simple model predictive control (MPC) approach to control the power injection system (PIS) for renewable energy applications. A DC voltage source and a single-phase inverter that is connected to the grid by an LCL filter form the PIS. Grid voltage is considered a disturbance for the system. For eliminating this disturbance, a modified model is proposed. It is usual to ...

One of the principal objectives of vibration isolation technology is to isolate sensitive equipment from a vibrating structure or to isolate the structure from an uncertain exogenous disturbance source. In this paper, a dynamic observer-based active isolator is proposed that guarantees closed-loop asymptotic stability and disturbance decoupling between the vibrating structure and isolated struc...