In this paper, we address regional stability and performance analysis on linear control systems with linear anti-windup augmentation. We use LMIs to compute 1) an upper bound for the nonlinear L2 gain, 2) an estimate of the reachable set under norm bounded exogenous input and 3) an estimate of the domain of attraction with zero input. The problems are studied in a general setting where the only...

We study the problem of stabilizing exponentially unstable linear systems with saturating actuators. The study begins with planar systems with both poles exponentially unstable. For such a system, we show that the boundary of the domain of attraction under a saturated stabilizing linear state feedback is the unique stable limit cycle of its time-reversed system. A saturated linear state feedbac...

The synthesis of an anti-windup compensator for systems with time-varying delays is solved in this paper. More precisely, LMI conditions are proposed that guarantee the stability of the closedloop system, with a enlarged domain of attraction. An ellipsoid and a polyhedral set are used to bound this domain of attraction, making possible to derive a new sector condition. In addition, an algorithm...

This paper addresses the design of a dynamic, nonlinear, time-invariant, state feedback controller that guarantees constraint satisfaction and offset-free control in the presence of unmeasured, persistent, non-stationary, additive disturbances. First, this objective is obtained by designing a dynamic, linear, time-invariant, offset-free controller, and an appropriate domain of attraction for th...

In this work we show the existence existence and uniqueness of traveling waves for diffusive-dispersive conservation laws with flux function in C1(R), by using phase plane analysis. Also we estimate the domain of attraction of the equilibrium point attractor corresponding to the right-hand state. The equilibrium point corresponding to the left-hand state is a saddle point. According to the phas...

An integral analogue of the general almost sure limit theorem is presented. In the theorem, instead of a sequence of random elements, a continuous time random process is involved, moreover, instead of the logarithmical average, the integral of delta-measures is considered. Then the general theorem is applied to obtain almost sure versions of limit theorems for semistable and max-semistable proc...

Estimating the Domain of Attraction (DA) of equilibrium points is a problem of fundamental importance in systems engineering. Several approaches have been developed for computing the Largest Estimate of the DA (LEDA) corresponding to a Lyapunov function in the case of polynomial systems. In the case of non-polynomial systems, the computation of the LEDA is still an open problem. In this paper, ...