In this paper, the problem of the stability analysis for a class of linear neutral systems with time-varying delay is investigated. Using the Lyapunov method, a delay-dependent sufficient condition for asymptotic stability of the systems in terms of linear matrix inequalities (LMIs) is presented. The LMIs can be easily solved by various convex optimization algorithms. AMS Mathematics Subject Cl...

In this paper we consider parameterized Lyapunov inequalities arising in stability analysis of discrete-discrete and continuous-discrete 2D systems. A necessary condition for their feasibility is presented. This condition is based on an optimization method published earlier by the author. Its properties include being reasonably easy to check, and its coverage being adjustable via the algorithm’...

In this paper, the stability analysis problem for linear neutral delay-differential systems with multiple time delays is investigated. Using the Lyapunov method, we present new sufficient conditions for the asymptotic stability of systems in terms of linear matrix inequalities, which can be solved easily by various convex optimization algorithms. Numerical examples are given to illustrate the a...

The application of optimization techniques derived from the study of Euclidean full Steiner Trees to macromolecules like proteins is reported in the present work. We shall use the concept of Euclidean Steiner Ratio Function (SRF) as a good Lyapunov function in order to perform an elementary stability analysis.

Westudy the stability of an analog optimization circuit that solves quadratic programming (QP) problems. The circuit dynamics are modeled as a switched affine system. A piece-wise quadratic Lyapunov function and the KYP lemma are used to derive the stability criterion. The stability criterion characterizes the range of critical circuit parameters for which the QP circuit is globally exponential...

In Part I of this paper we propose a decentralized optimal frequency control of multi-area power system with operational constraints, where the tie-line powers remain unchanged in the steady state and the power mismatch is balanced within individual control areas. In Part II of the paper, we propose a distributed controller for optimal frequency control in the network power balance case, where ...

In this letter, the exponential stability of uncertain time-delay systems is investigated. Based on the Lyapunov method, a novel stability criterion has been derived in terms of matrix inequalities which can be easily solved using efficient convex optimization algorithms. Two numerical examples are included to show the effectiveness of the proposed method. c © 2005 Elsevier Ltd. All rights rese...

In this paper, robust stability of uncertain singularly perturbed systems with state delays is studied. Based on Lyapunov-Krasovskii stability theorem and linear matrix inequality (LMI) technique, sufficient conditions are given to guarantee that systems are asymptotically stable, and explicit stability bounds are attained by solving convex optimization problem. Numerical example is presented t...