Nonlinearities and the lack of accurate quantitative information considerably hamper modeling and system analysis of biochemical networks. Here we propose a procedure for qualitative mathematical analysis of piecewise-affine (PWA) approximations of these networks. First the biochemical model size was reduced with quasi-steady state approaches by taking a priori information into account. Second,...

In this paper we present various algorithms both for stability and performance analysis of discrete-time Piece-Wise Affine (PWA) systems. For stability, different classes of Lyapunov functions are considered and it is shown how to compute them through Linear Matrix Inequalities that take into account the switching structure of the systems. We also show that the continuity of the Lyapunov functi...

A dual motor plug-in hybrid electric vehicle (DM-PHEVs) can achieve higher power and better fuel economy through Mode Transition Process (MTP) from pure to driving modes. In a DM-PHEV, the MTP is more complex, with components be managed. As well as being combination of discrete stage transition system continuous state evolution, several actuators exhibit significant discontinuous dynamics diffe...

Kurangnya informasi yang detail terhadap persebaran dokter praktik dan apotek di Kota Pontianak, berpotensi menyebabkan kebingungan pada pasien ketika mencari lokasi terdekat sesuai dengan kriteria penyakit pasien. Tujuan dari penelitian ini adalah membangun sebuah aplikasi pencarian Pontianak. pengimplementasian ini, dapat memilih sendiri diinginkan, mulai spesialisasi dokter, nama jarak Aplik...

In this paper we focus on the identification of discrete-time hybrid systems in the Mixed-Logic Dynamical (MLD)/Piece-Wise Affine (PWA) form. This problem can be formulated as the reconstruction of a possibly discontinuous PWA map with a multi-dimensional domain. In order to achieve our goal, we propose an algorithm that exploits the combined use of clustering, linear identification, and classi...

In this paper we derive stabilization conditions for the class of piecewise affine (PWA) systems using the linear matrix inequality (LMI) framework. We take into account the piecewise structure of the system and therefore the matrix inequalities that we solve are less conservative. Using the upper bound of the infinite-horizon quadratic cost as a terminal cost and constructing also a convex ter...

We consider constrained finite-time optimal control problems for discrete-time linear time-invariant systems with constraints on inputs and outputs based on linear and quadratic performance indices. The solution to such problems is a time-varying piecewise affine (PWA) state-feedback law and it can be computed by means of multiparametric programming. By exploiting the properties of the value fu...