A feedback linearizing control strategy for discrete-time nonlinear systems subject to input constraints is proposed. The control system comprises: (i) a feedback linearizing controller; ( ii) a constraint mapping algorithm that transforms the actual input constraints into constraints on the feedback linearized system; and (iii) a linear model predictive controller that regulates the resulting ...

A new voltage stability control model was presented to guarantee the static voltage stability of power system using the active power constraints of weak branches as the static voltage stability margin constraints. A local index for voltage stability was used to recognize the key contingencies, the weak branches and their maximum active power. Based on DC power flow equations, a static security ...

All real world control systems must deal with actuator and state constraints. Standard conic sector bounded nonlinearity stability theory provides methods for analyzing the stability and performance of systems under constraints, but it is well-known that these conditions can be very conservative. A method is developed to reduce conservatism in the analysis of constraints by representing them as...

This paper introduces a methodology for soil slope stability analysis based on optimization, limit equilibrium principles and method of slices. In this study, the slope stability analysis problem is transformed into a constrained nonlinear optimization problem. To solve that, a Self-Adaptive Genetic Algorithm (GA) is utilized. In this study, the slope stability safety factors are the objective ...

Many real matching markets are subject to distributional constraints. To guide market designers faced with constraints, we propose new stability concepts. A matching is strongly stable if satisfying blocking pairs inevitably violates a constraint. We show that a strongly stable matching may not exist, and that existence is guaranteed if and only if all distributional constraints are trivial. To...

The stability of the equilibrium point (background activity) of oscillatory neural networks is an important property for computational applications that explore the switching between background activity and oscillatory states. Here we consider a general approach to this problem for networks of arbitrary size. For symmetric coupling, often the case in associative learning algorithms, we derive t...

Aerial vehicles are difficult to stabilize, especially when acted upon by external forces. A hovering vehicle in contact with objects and surfaces must maintain flight stability while subject to forces imparted to the airframe through the point of contact. These forces couple with the motion of the aircraft to produce distinctly different dynamics from free flight. While external contact is gen...

The theory of integral quadratic constraints (IQCs) allows verification of stability and gain-bound properties of systems containing nonlinear or uncertain elements. Gain bounds often imply exponential stability, but it can be challenging to compute useful numerical bounds on the exponential decay rate. This work presents a generalization of the classical IQC results of Megretski and Rantzer [1...

In this paper, we focuses on stability, asymptotical stability and finite-time stability for a class of differential inclusions governed by a nonconvex superpotential. This problem is known by "evolution hemivariational inequalities". After proposing an existence result of solutions, we give the stability results in terms of smooth Lyapunov functions subjected to some conditions described in te...