In [1], T. Clopeau, A. Mikelić, and R. Robert studied the inviscid limit of the 2D incompressible Navier-Stokes equations in a bounded domain subject to Navier friction-type boundary conditions. They proved that the inviscid limit satisfies the incompressible Euler equations and their result ultimately includes flows generated by bounded initial vorticities. Our purpose in this article is to ad...

The problem of stabilizing linear dynamical time-delaysystems subject to bounded uncertainties is investigated. Two memo-ryless feedback controllers are considered. It is established that whenthe matching conditions are met and certain bounding relations aresatisfied, then the linear controller renders the zero-response of the systemasymptotically stable. Saturation-type con...

In this paper we consider linear systems with possibly exponentially unstable eigenvalues and with saturating input. It is shown that for a class of unstable systems there exists a bounded linear stabilizing controller for sets of initial conditions which may be arbitrary large and bounded in some directions of the state space while other directions must be bounded. Hence the results are strong...

A novel indirect adaptive backstepping control approach based on type-2 fuzzy system is developed for a class of nonlinear systems. This approach adopts type-2 fuzzy system instead of type-1 fuzzy system to approximate the unknown functions. With type-reduction, the type-2 fuzzy system is replaced by the average of two type-1 fuzzy systems. Ultimately, the adaptive laws, by means of backsteppin...

This study considers the problem of fault estimation for rigid satellite in presence external disturbances, parameter perturbations, and actuator time-varying faults. Firstly, a Takagi-Sugeno (T-S) fuzzy model with interval matrix attitude system under large angle scope is established, along detailed analysis faults terms additive multiplicative descriptions. Then, novel adaptive observer adjus...

This paper shows that coprime right factorizations exist for the input to state mapping of a continuous time nonlinear system provided that the smooth feedback stabilization problem be solvable for this system. In particular, it follows that feedback linearizable systems admit such factorizations. In order to establish the result a Lyapunov-theoretic deenition is proposed for \bounded input bou...

Absfract-This paper shows that coprime right factorizations exist for the input-to-state mapping of a continuous-time nonlinear system provided that the smooth feedback stabilization problem is solvable for this system. In particular, it follows that feedback linearizable systems admit such factorizations. In order to establish the result, a Lyapunovtheoretic definition is proposed for bounded ...

This paper is concerned with the exponential stability of singularly perturbed delay differential equations with a bounded (state-independent) lag. A generalized Halanay inequality is derived in Section 2, and in Section 3 a sufficient condition will be provided to ensure that any solution of the singularly perturbed delay differential equations (DDEs) with a bounded lag is exponentially stable...

We discuss synchronization in networks of neuronal oscillators which are linearly coupled via gap junctions. We show that the neuronal models of Hodgkin-Huxley, Morris-Lecar, FitzHugh-Nagumo and Hindmarsh-Rose all satisfy a semi-passivity property, i.e. that is the state trajectories of such a model remain oscillatory but bounded provided that the supplied (electrical) energy is bounded. As a r...