We consider a novel method for designing the sliding mode that minimizes the quadratic performance while keeping a pole-clustering constraint. Our approach is based on the manipulations of linear matrix inequalities (LMIs) imposed by the design objectives. For this purpose, we newly propose LMI conditions for the quadratic performance optimization and the pole-clustering problem, respectively, ...

The problem of stochastic stability is investigated for a class of neural networks with both Markovian jump parameters and continuously distributed delays. The jumping parameters are modeled as a continuous-time, finite-state Markov chain. By constructing appropriate LyapunovKrasovskii functionals, some novel stability conditions are obtained in terms of linear matrix inequalities LMIs . The pr...

One of the most relevant problems for control engineers is the so-called “mixed H 2/H∞”. To solve it, different convexifying strategies became popular in the later 1990s, mainly based on Linear Matrix Inequalities (LMIs). On the other hand, genetic algorithms have also been applied for H 2/H∞ synthesis. Indeed, several authors agree that they are able to find good solutions to this important co...

We characterize the family of connected subgraphs in terms of linear matrix inequalities (LMI) with additional integrality constraints. We then show that convex relaxations of the integral LMI lead to parameterization of all weighted connected subgraphs. These developments allow for optimizing arbitrary graph functionals under connectivity constraints. For concreteness we consider the connected...

In this paper, the exponential stability analysis problem is considered for a class of recurrent neural networks RNNs with random delay and Markovian switching. The evolution of the delay is modeled by a continuous-time homogeneous Markov process with a finite number of states. The main purpose of this paper is to establish easily verifiable conditions under which the random delayed recurrent n...

This article proposes a design method for producing H control performance for structural systems using the Tagagi-Sugeno (T-S) fuzzy model. A structural system with a tuned mass damper is modeled using a T-S type fuzzy model. Using the parallel distributed compensation (PDC) scheme, we design a nonlinear fuzzy controller for the tuned mass damper system. A sufficient stability condition for the...

Several problems such as network intrusion, community detection, and disease outbreak can be described by observations attributed to nodes or edges of a graph. In these applications presence of intrusion, community or disease outbreak is characterized by novel observations on some unknown connected subgraph. These problems can be formulated in terms of optimization of suitable objectives on con...

In an experiment, input sequence is applied to unknown linear time-invariant system (in continuous or discrete time) affected also by unknown-but-bounded disturbance sequence; the corresponding state (and derivative sequence, in measured. The goal design directly from and sequences a controller that enforces certain performance specification on transient behaviour of system. expressed through s...

We prove, under a certain representation theoretic assumption, that the set of real symmetric matrices, whose eigenvalues satisfy linear matrix inequality, is itself spectrahedron. The main application derivative relaxations positive semidefinite cone are spectrahedra. From this we further deduce statements on their Wronskians. These imply Newton's inequalities, as well strengthening correlatio...

The problem of guaranteed cost control is investigated for a class discrete-time saturated switched systems. The purpose to design the law and state feedback such that closed-loop system asymptotically stable upper-bound function minimized. Based on multiple Lyapunov functions approach, some sufficient conditions existence controllers are obtained. Furthermore, conv...