In this paper we deal with the stabilizability property for discrete-time switched linear systems. A recent necessary and sufficient characterization of stabilizability, based on set theory, is considered as reference comparing computation-oriented conditions. The classical BMI conditions Lyapunov-Metzler inequalities are extended. Novel LMI derived from geometric ones, presented that permit to combine generality computational affordability. For different conditions, geometrical...

We study opinion dynamics systems controlled by a leader. Following findings from experimental social psychology, the influence weights considered here have peculiarity to be both state and time dependent. This allows for instance model loss of patience or interest individuals. The leader is assumed using saturated control. objective make all agents agree on desired consensus value. First, are gathered around leader, which then steers toward target value, where achieved. Trajectory tracking...

We consider the linear time-invariant system $ \dot{x}(t,\theta) = A(\theta)x(t,\theta)+B(\theta)u(t) with output y(t,\theta) C(\theta)x(t,\theta) where A $, B and C are continuous matrices respect to constant parameter \theta which belongs some compact set \mathcal{P} $. Given any initial state datum \theta\mapsto\mathrm{x}_0(\theta) function \theta\mapsto\mathrm{y}_1(\theta) we investigate existence of a $-independent open loop control u such that \mathrm{x}_0 is steered, in finite time,...

Abstract This article deals with the model predictive control (MPC) design problem for systems which are linearly dependent on a time-varying parameter. The main novelty is that, motivated by practical issues, bounds rate of variation parameters taken into account in design. Moreover, Lyapunov function depending multiaffinely computed at set instants time and parameter-dependent gain used to provide an upper bound quadratic performance index. solution obtained means semidefinite programming...

The interconnection between a linear time invariant system and nonlinear operator gathering an asymmetric backlash dead-zone is studied, which are relevant in mechanics hydraulics. This paper aims to design controller as static state feedback ensure Uniform Ultimately Bounded (UUB) property for the closed-loop system. A UUB-Lyapunov-based approach used provide sufficient conditions Linear Matrix Inequalities (LMIs) this control resulting optimization problem offered minimize UUB set....

In this technical note, we study the relations between local stabilizability of a class input-affine discrete-time nonlinear systems and their Quadratic-Supply-Rate (QSR)-dissipativity properties. Focusing on by linear Static Output Feedback (SOF), derive several sufficient conditions for Lyapunov based QSR-dissipativity. A closed-form expression SOF stabilizing gain is derived from QSR matrices. Additionally, prove that necessity also holds in some special cases. The QSR-dissipativity-based...

This note deals with linear-quadratic Stackelberg differential games including time preference rates an open-loop information structure. The properties of the characteristic matrix associated necessary conditions for a strategy are pointed out. It is shown that such exhibits special symmetry property its eigenvalues. Sufficient to guarantee predefined degree stability given based on distribution eigenvalues in complex plane.

This technical note studies the guaranteed cost of a quadratic criterion associated with linear discrete-time switched system for all set admissible switching laws. The laws are here ones exhibiting dwell time. approach provided is to design an upper bound and parametrized family lower bounds as close possible in order obtain certification cost. determined via Lyapunov function obtained numerical computation induced by particular periodic features proposed illustrated example.

This paper deals with the design of anti-windup compensator for discrete-time switched systems subject to input saturation. The cases static and dynamic controllers are addressed aiming at maximising estimate basin attraction origin closed-loop system. Two aspects switching law taken into account during design: either it is arbitrary or a part complete control law. Theoretical conditions allowing synthesise mainly described through linear matrix inequalities. Computational oriented then...

In this note we generalize the trace inequality derived by [1] to case where number of terms sum (denoted K) is arbitrary.

Abstract A class of switched non-quadratic Lyapunov functions is considered in this article. The function associated with discrete-time systems subject to mode-dependent cone-bounded nonlinearities and saturation actuator. These depend on the active mode, instead time-invariant Lur'e-type function. only assumption here sector condition, without constraint related slope nonlinearities. stability analysis control design problems lead linear matrix inequality conditions. Optimisation are...

The purpose of this paper is to show how key concepts from control theory, game and mean field theory can be exploited design joint control-allocation policies in cognitive wireless networks. One the features proposed approach that transmitters (which are assumed co

The presence of the dead-zone nonlinearity is common in many physical systems and general degrades control performance or stability. This note considers an interconnection between a continuous time multiple-input linear system associated with state feedback. issue analyzing property uniform ultimate boundedness (UUB) designing under UUB constraint are studied. Firstly, replaced via transformation introducing saturation. Secondly, we improve size area that can be found literature, by...