Abstract -In this paper, the problem of H∞ filtering design is studied for nonlinear sampled-data systems using the Takagi-Sugeno (T-S) fuzzy model approach. Traditionally, the sufficient conditions for the existence of such H∞ filter are characterized in terms of the solution of a differential Hamilton-Jacobi inequality with jumps, which is equivalent to solving the partial differential inequa...

We investigate the universal linear inequalities that hold for the von Neumann entropies in a multi-party system, prepared in a stabiliser state. We demonstrate here that entropy vectors for stabiliser states satisfy, in addition to the classic inequalities, a type of linear rank inequalities associated with the combinatorial structure of normal subgroups of certain matrix groups. In the 4-part...

This paper addresses two strategies for stabilization of continuous time linear switched system. The first one, is of open loop nature (trajectory independent) and is based on the determination of a minimum dwell time by means of a family of quadratic Lyapunov functions. Interestingly, the proposed stability condition does not require the Lyapunov function be uniformly decreasing at every switc...

* Correspondence: [email protected] College of Science, Yanshan University, Qinhuangdao Hebei 066004, P. R. China Abstract This article deals with the problem of stability of descriptor neutral systems with multiple delays. Using Lyapunov functional and free-weighting matrix method, a delay-dependent stability criterion is obtained and formulated in the form of linear matrix inequalities, wh...

We describe a general method for enclosing the solution set of a system of interval linear equations. We present a general theorem and an algorithm in a MATLAB-style code. The result is called a “method”, not an “algorithm”, because it involves solving absolute value matrix inequalities; the way how to solve these inequalities will be explained elsewhere.

This paper presents a linear programming approach for the optimal control of nonlinear switched systems where the control is the switching sequence. This is done by introducing modal occupation measures, which allow to relax the problem as a primal linear programming (LP) problem. Its dual linear program of HamiltonJacobi-Bellman inequalities is also characterized. The LPs are then solved numer...

In this paper, a class of uncertain linear polytopic systems with distributed time varying delays is studied. By using an improved parameter dependent Lyapunov-Krasovskii functional approach and linear matrix inequality technique, delay-dependent sufficient conditions for exponential stability of the system are first established in terms of MondieKharitonov type’s linear matrix inequalities (LM...

In this paper, the quadratic stabilization of switched linear systems with polytopic uncertainties is considered. Compared with the existing result, a more general switching control method is proposed to guarantee the quadratic stabilization. This switching control method is based on the partition of vertex matrix set of each subsystem. By this method, the matrix inequalities needed to be solve...

This paper presents a novel approach for the controller synthesis in discrete-time linear systems (DTLS) with uncertainty polytopical type, by means of the extended static feedback of the measured output. The method consists of designing feedback gains for the injection of the output and its derivative, which corresponds to the control signal. Conditions for the existence of such controllers ar...

This article considers the robust exponential stability of uncertain switched stochastic systems with time-delay. Both almost sure (sample) stability and stability in mean square are investigated. Based on Lyapunov functional methods and linear matrix inequality techniques, new criteria for exponential robust stability of switched stochastic delay systems with non-linear uncertainties are deriv...