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A geometrical approach to quadratic Lyapunov stability for the class of switched linear systems which share a common invariant subspace is contributed in this article. The robustness with respect to canonical gap perturbations of common invariant subspaces associated with constituent system matrices is additionally addressed. Some well-known results on common quadratic stability are naturally recovered...
This paper supplies a new algorithms to compute the internal dynamics (or inversion dynamics) of affine MIMO control nonlinear systems. This algorithm consider both cases regular or singular characteristic matrix. Furthermore, it provides an extension to a class of nonlinear descriptor systems.
In this paper, we partially extend a constant-rank theorem of S. A. Vakhrameev to time-varying control systems. This theorem completely characterizes constant-rank control systems in terms of invariant subspaces. The extension is partial, in the sense that it only applies to control systems evolving on a Euclidean space.
This paper explores the active fault tolerant control issue for a class of uncertain nonlinear systems using a control allocation (CA)-based integral sliding mode control (ISMC) technique. When the information of fault detection and diagnosis is available, the presented scheme can tolerate some of the actuators' faults, while maintains the main advantages of both CA and ISMC techniques. A remarkable...
This note deals with stochastic continuous-discrete state-space models, that is stochastic differential systems with sampled discrete measurements. The filtering problem is investigated, with the purpose to provide the state estimate at the samples times. The general setting of a nonlinear drift and of a nonlinear multiplicative noise is considered, as well as of a nonlinear state-to-output function...
Two different observer design techniques for linear and nonlinear systems based on the so-called observability function, which is related to the Gramian matrix in the linear case, are proposed. Asymptotic and finite-time convergence results are provided. The effectiveness of the proposed approaches are demonstrated via numerical simulations. The asymptotically convergent observer design technique...
This paper introduces the problem of passive control of a chain of N identical masses in which there is an identical passive connection between neighbouring masses and a similar connection to a movable point. The problem arises in the design of multi-storey buildings which are subjected to earthquake disturbances, but applies in other situations, for example vehicle platoons. The paper will study...
Knowing how important a node or an edge is, within a network, can be very valuable. In the area of complex networks, a variety of centrality measures, which assign to each node or edge a number representing its importance, have been proposed. In this paper, we consider two such measures, namely, node and edge betweenness that characterize how often a node or edge lies on the shortest paths between...
This paper develops a comprehensive stability analysis framework for continuous-time power control algorithms in wireless networks under bounded time-varying communication delays. Our first set of results establish global asymptotic stability of power control laws involving two-sided scalable interference functions, and include earlier work on standard interference functions as a special case. We...
A basic model of a dynamical distribution network is considered, modeled as a directed graph with storage variables corresponding to every vertex and flow inputs corresponding to every edge, subject to unknown but constant inflows and outflows. We analyze the dynamics of the system in closed-loop with a distributed proportional-integral controller structure, where the flow inputs are constrained to...
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