We consider the problem of simultaneous nite gain L p-stabilization and internal stabilization of linear systems subject to input saturation via linear static state feedback. We show that bounded input nite-gain L p-stabilization and local asymptotic stabilization can always be achieved simultaneously no matter where the poles of the open loop system are, and the locations of these poles play a...

This paper focuses on the quadratic stabilization problem for a class of uncertain impulsive switched systems. The uncertainty is assumed to be norm-bounded and enters both the state and the input matrices. Based on the Lyapunov methods, some results on robust stabilization and quadratic stabilization for the impulsive switched system are obtained. A stabilizing state feedback control law reali...

We present a new stabilization approach for nonlinear plants with a long input delay. The stabilization problem is complicated by the influence of an uncertain biased sinusoidal disturbance. The problem of control design is solved with using measurable state variables. The adaptive scheme allows to identify the frequency and other parameters of the external disturbance that are used in a reject...

We propose an univesal scheme to design loop-free and superstabilizing protocols for constructing spanning trees optimizing any tree metrics (not only those that are isomorphic to a shortest path tree). Our scheme combines a novel super-stabilizing loop-free BFS with an existing self-stabilizing spanning tree that optimizes a given metric. The composition result preserves the best properties of...

A controlled Lagrangian approach is presented for the stabilization of an inverted pendulum mounted on a cart. The stabilization strategy consists in forcing the closed-loop system to behave as an Euler-Lagrange system, with a fixed inertia matrix. For carrying it out, it is necessary to adequately shape the potential and kinetic energies of the closed-loop system. The idea behind this procedur...

2 State space description of û modulators Three nonlinear stabilization techniques for higher-order, To justify the use of the three nonlinear stabilization single-loop and single-bit û modulators are presented techniques to be presented in section 3, let us write the in this communication. The performances of the three state equation for the general structure of a discrete-time, methods are an...

In this paper we address the problem of closed loop stabilization of switched control systems. First we propose a general definition of closed loop switched solution of a control system. Then we use it in order to get a stabilizability result for planar bilinear systems. This result is finally compared with existing literature.