A fuzzy clustering approach is studied for optimal pole selection of Orthonormal Basis Functions (OBFs) used for the identification of Linear Parameter Varying (LPV) systems. The identification approach is based on interpolation of locally identified Linear Time Invariant (LTI) models, using globally fixed OBFs. The selection of the optimal OBF structure, that guarantees the least worstcase loc...

This paper deals with the stability study of the nonlinear Saint-Venant Partial Differential Equation (PDE). The proposed approach is based on the multi-model concept which takes into account some Linear Time Invariant (LTI) models defined around a set of operating points. This method allows describing the dynamics of this nonlinear system in an infinite dimensional space over a wide operating ...

Linear time-invariant time-delay systems (LTI-TDS) constitute a widespread family of plants and systems, not only limited to industrial ones. They can be represented by Laplace transfer functions in the form of fractions of so-called quasipolynomials. Direct controller design for LTI-TDS based on such models is mostly rather intricate. Many approaches require a rational approximation of the tra...

In this article, we design a nonlinear observer for second-order linear time-invariant (LTI) systems in the observable form with measurement delay. The guarantees convergence of error state to origin within finite-time that depends on initial conditions. To accomplish this, reformulate original system into cascade ODE–PDE where PDE part is transport equation models effect delay output. We const...

Abstract. For linear time-invariant (LTI) state space systems it is well-known that its asymptotic stability can be related to solution properties of the Lyapunov matrix equation according to so-called inertia theorems. The question now arises how analogous results can be obtained for LTI descriptor systems (singular systems, differential-algebraic equations). The stability behaviour of a LTI d...

Motivated by the availability of different types of delays in embedded systems and biological circuits, the objective of this work is to study the benefits that delay can provide in simplifying the implementation of controllers for continuous-time systems. Given a continuous-time linear time-invariant (LTI) controller, we propose three methods to approximate this controller arbitrarily precisel...

Despite the severe criticism expressed by some of the reviewers, after studying their comments and the suggested references, we still believe that our results are original, correct, and potentially important for the systems and control community. Detailed answers to the reviewers’ comments with rebuttal and explanation of the corrections/additions in the revised version of the paper are given i...

This paper considers the input-erasure Gaussian channel. In contrast to the output-erasure channel where erasures are applied to the output of a linear time-invariant (LTI) system, here erasures, known to the receiver, are applied to the inputs of the LTI system. Focusing on the case where the input symbols are independent and identically distributed (i.i.d)., it is shown that the two channels ...

In this paper we propose a novel approach for gesture modeling. We aim at decomposing a gesture into sub-trajectories that are the output of a sequence of atomic linear time invariant (LTI) systems, and we use a Hidden Markov Model to model the transitions from the LTI system to another. For this purpose, we represent the human body motion in a temporal window as a set of body joint trajectorie...