The output-feedback control problem is solved for continuous-time, linear, retarded and neutral type systems. A delay-dependent solution is obtained in terms of linear matrix inequalities (LMIs) by using a descriptor model transformation of the system and by applying Park’s inequality for bounding cross terms. A state-feedback solution is derived for systems with polytopic parameter uncertainti...

We propose a model reduction method for positive systems that ensures the positivity of the reduced-order model. In the standard as well as in the descriptor case, for continuous-time and discrete-time systems, our approach is based on constructing diagonal solutions of Lyapunov inequalities. These are linear matrix inequalities (LMIs), which are shown to be feasible. Positivity and stability a...

Design methods are proposed for static and fixed-order dynamic output feedback controllers for discretetime Luré systems with sector-bounded nonlinearities in the presence of parametric uncertainties described by polytopes. The derived design conditions are represented in terms of bilinear matrix inequalities, which are nonconvex. By using convex relaxation methods, controller design equations ...

Based on the recent result given in Park [19], a further result for global asymptotic stability of the equilibrium point for a class of uncertain neural networks with discrete and distributed delays is investigated. A stability condition is derived in terms of linear matrix inequalities (LMIs), which can be solved easily by various convex optimization algorithms. Mathematics Subject Classificat...

In this paper, new weighted integral inequalities (WIIs) are first derived by refining the Jensen single and double inequalities. It is shown that the newly derived inequalities in this paper encompass both the Jensen inequality and its most recent improvements based on Wirtinger integral inequality. The potential capability of the proposed WIIs is demonstrated through applications in exponenti...

In this paper, we consider the H∞ controller design problem for both continuous-time and discrete-time linear time-invariant (LTI) systems via low order dynamic output feedback controllers. The existence condition of desired H∞ controllers is expressed as a feasibility problem of a bilinear matrix inequality (BMI) with respect to a coefficient matrix defining the controller and a Lyapunov matri...

Based on a differential inclusion approach, the notion of quadratic H∞ performance is introduced for a rather general class of nonlinear descriptor systems. The approach is specialized to the performance analysis and controller synthesis of descriptor systems with norm bounded uncertainties. In this case quadratic H∞ performance can be characterized by means of parameterized linear matrix inequ...

This paper deals with the problem of H∞ filter design for nonlinear discretetime systems with time-varying delays via T-S fuzzy model approach. Some delaydependent conditions for fuzzy H∞ filter are proposed in terms of linear matrix inequalities(LMIs), which produce a less conservative result. Finally, one numerical example is given to demonstrate the effectiveness and the benefits of the prop...

In this paper, we consider the problem of global μ-stability for complex-valued neural networks (CVNNs) with unbounded time-varying delays and it has been widely investigated. Under mild conditions, some new sufficient conditions for global μ-stability of considered CVNNs are derived. Moreover, some new sufficient conditions are obtained to ensure the global μ-stability of CVNNs in the form of ...

We establish a unified approach to stability analysis for switched linear descriptor systems under arbitrary switching in both continuous-time and discrete-time domains. The approach is based on common quadratic Lyapunov functions incorporated with linear matrix inequalities (LMIs). We show that if there is a common quadratic Lyapunov function for the stability of all subsystems, then the switc...