On the representation of trajectories of bilinear systems and its applications
On the -invariance property for -flows.
On the smoothing of a discrete random autoregressive process
On the smoothness of solutions of linear-quadratic regulator for degenerate diffusions.
On the solution of linear inhomogeneous matrix difference equations of order n with variable coefficients
On the solution of the constrained multiobjective control problem with the receding horizon approach
This paper deals with a multiobjective control problem for nonlinear discrete time systems. The problem consists of finding a control strategy which minimizes a number of performance indexes subject to state and control constraints. A solution to this problem through the Receding Horizon approach is proposed. Under standard assumptions, it is shown that the resulting control law guarantees closed-loop stability. The proposed method is also used to provide a robustly stabilizing solution to the problem...
On the solutions of the dissipation inequality.
On the stability of convex symmetric polytopes of matrices.
On the stability of infinite-dimensional linear stochastic systems
On the stability of interacting processes with applications to filtering and genetic algorithms
On the stability of neutral-type uncertain systems with multiple time delays
The problems of both single and multiple delays for neutral-type uncertain systems are considered. First, for single neutral time delay systems, based on a Razumikhin-type theorem, some delay-dependent stability criteria are derived in terms of the Lyapunov equation for various classes of model transformation and decomposition techniques. Second, robust control for neutral systems with multiple time delays is considered. Finally, we demonstrate numerical examples to illustrate the effectiveness...
On the stability of T-S fuzzy control for non-linear systems.
This work concerns the stability analysis of a non-linear system controlled by a fuzzy T-S control law. It is shown that the closed loop system is in general expressed by a T-S fuzzy system composed of rules with affine linear systems in their consequent parts. The stability of affine T-S systems is then investigated for a special case using as an example the regulation problem of single link robot arm. Stability conditions are derived using the indirect and direct Lyapunov method and simulation...
On the stabilizability of a slowly rotating Timoshenko beam.
On the stabilizability of homogeneous systems of odd degree
We construct explicitly an homogeneous feedback for a class of single input, two dimensional and homogeneous systems.
On The Stabilizability of Homogeneous Systems Of Odd Degree
We construct explicitly an homogeneous feedback for a class of single input, two dimensional and homogeneous systems.
On the stabilizability of some classes of bilinear systems in
In this paper, we consider some classes of bilinear systems. We give sufficient condition for the asymptotic stabilization by using a positive and a negative feedbacks.
On the stabilization of internally coupled map lattice systems.
On the stabilization of laminated beams with delay
Of concern in this paper is the laminated beam system with frictional damping and an internal constant delay term in the transverse displacement. Under suitable assumptions on the weight of the delay, we establish that the system's energy decays exponentially in the case of equal wave speeds of propagation, and polynomially in the case of non-equal wave speeds.
On the stabilization problem for nonholonomic distributions
Let be a smooth connected complete manifold of dimension , and be a smooth nonholonomic distribution of rank on . We prove that if there exists a smooth Riemannian metric on1for which no nontrivial singular path is minimizing, then there exists a smooth repulsive stabilizing section of on . Moreover, in dimension three, the assumption of the absence of singular minimizing horizontal paths can be dropped in the Martinet case. The proofs are based on the study, using specific results of...
On the state observation and stability for uncertain nonlinear systems
In this paper, we treat the class of nonlinear uncertain dynamic systems that was considered in [3,2,1,4]. We consider continuous-time dynamical systems whose nominal part is linear and whose uncertain part is norm-bounded. We study the problems of state observation and obtaining stabilizing controller for uncertain nonlinear systems, where the uncertainties are characterized by known bounds.