We present a dual form of Lyapunov-Krasovskii functional which allows the problem of controller synthesis of multi-delay systems to be formulated and solved in a convex manner. First, we give a generalized version of the dual stability condition formulated in terms of Lyapunov operators which are positive, self-adjoint and preserve the structure of the statespace. Second, we provide a class of ...

In this paper we consider the problem of designing state observers with guaranteed power-to-power (RMS) gain for a class of stochastic discrete-time linear systems that possess both measurable parameter variations and Markovian jumps in their dynamics. It is shown in the paper that an upper bound on the RMS gain of the observer can be characterized in terms of feasibility of a family of paramet...

Abstract This paper studies the problem of stability analysis for descriptor systems with time-varying delay. By developing a delayed decomposition approach, information of the delayed plant states can be taken into full consideration, and new delay-dependent sufficient stability criteria are obtained in terms of linear matrix inequalities (LMIs). Then, based on the Lyapunov method, delaydepend...

Abstract: This paper considers the stability analysis of the feedback connection of a discrete LTI system and time-varying parameters whose variation intervals and bounds of variation rates are assumed known. To tackle the problem, the robust D-admissibility of uncertain descriptor systems is first analyzed. Based on this result, we derive a necessary and sufficient LMI condition for the existe...

The demographic dividen can provide benefits for Indonesia. proportion of the working age population in Indonesia until 2021 is reaching 205.36 million, which 68.08% workforce. labor force participation 93.74%, with informal sector as much 59.6%, and number unemployed reaches 6.26%. labourforce structure profile a challenge Indonesian government to encourage participate industry. developing Lab...

This paper is concerned with the use of genetic algorithms for robust control synthesis, in a context where there is no convex formulation for such design. For that aim, a robustness analysis condition is given in terms of a linear matrix inequality feasibility problem, producing less conservative results than recent parameter dependent Lyapunov based methods (which encompasses quadratic stabil...

This paper investigates the synchronization of coupled chaotic systems using techniques from the theory of robust H∞ control based on Linear Matrix Inequalities. To deal with the synchronization of a class of Lur’e discrete time systems, a project methodology is proposed. A laboratory setup based on Chua’s oscillator circuit is used to demonstrate the main ideas of the paper in the context of t...

This paper deals with model order reduction for linear stable discrete-time systems while minimizing the l∞gain of the error system. Our approach considers explicitly time domain performance and not frequency domain performance like most other approaches do. A convex programming problem expressed in terms of linear matrix inequalities combined with a line search algorithm is formulated to provi...

This paper presents a constructive method for showing exponential stability of autonomous nonlinear systems consisting of state-dependent weighted linear systems. This kind of system representation is common in for instance fuzzy systems or is the result of an exact or approximative description of an arbitrary nonlinear vector field. Stability is shown by joining multiple local Lyapunov functio...

Genetic Oscillator networks (GONs) are inherently coupled complex systems where the nodes indicate the biochemicals and the couplings represent the biochemical interactions. This paper is concerned with the synchronization problem of a general class of stochastic GONs with time delays and Markovian jumping parameters, where the GONs are subject to both the stochastic disturbances and the Markov...