This paper addresses the problem of global nite-time design via dynamic output feedback. The results are obtained in the form of the so-called \separation principle", i.e., the design methods for the nite-time output feedback laws are based on nite-time state feedback laws and nite-time observers, which can be designed separately. Conditions are given to assure that the constructed output feedb...

We investigate the finite-time stabilization of a tree-shaped network of strings. Transparent boundary conditions are applied at all the external nodes. At any internal node, in addition to the usual continuity conditions, a modified Kirchhoff law incorporating a damping term αut with a coefficient α that may depend on the node is considered. We show that for a convenient choice of the sequence...

It is shown that, for neutrally stable discrete-time linear systems subject to actuator saturation, nite gain lp stabilization can be achieved by linear output feedback, for all p 2 (1; 1]. An explicit construction of the corresponding feedback laws is given. The feedback laws constructed also result in a closed-loop system that is globally asymptotically stable, and in an input-to-state estimate.

The problem of finite-time stabilization for networked control systems with both sensor-to-controller and controller-to-actuator packet dropouts is investigated in this paper.By using the iterative approach, the NCSs with bounded packet dropout is modeled as switched linear systems. Sufficient conditions for finitetime stabilization of the underlying systems are derived via linear matrix inequa...

The Implicit Lyapunov Function (ILF) method for finite-time stability analysis is introduced. The control algorithm for finite-time stabilization of a chain of integrators is developed. The scheme of control parameters selection is presented by a Linear Matrix Inequality (LMI). The robustness of the finite-time control algorithm with respect to system uncertainties and disturbances is studied. ...

In this paper, the problems of finite-time stability and stabilization for a class of singular time-delay systems are studied. Using the Lyapunov-like functional (LLF) with (exponential or power) weighting function and a new estimation method for the lower bound on LLF, some sufficient stability conditions are introduced. It is shown that the weighting function significantly reduces the conserv...

Semi-global finite-time exact stabilization of linear time-invariant systems with matched disturbances is attained using dynamic output feedback, provided the system is controllable, strongly observable and the disturbance has a bound affine in the state norm. The novel non-homogeneous high-order sliding-mode control strategy is based on the gain adaptation of both the controller and the differ...

Most of the existing results on distributed distance-based rigid formation control establish asymptotic and often exponentially asymptotic convergence. To further improve the convergence rate, we explain in this paper how to modify existing controllers to obtain finite time stability. For point agents modeled by single integrators, the controllers proposed in this paper drive the whole formatio...

This note studies the problem of finite-time output feedback stabilization for the double integrator system. A class of output feedback controllers that can achieve global finite-time stability for the double integrator system are constructed based on a “finite-time separation principle.” Furthermore, it is shown that the closed-loop system resulting from our control law can maintain its local ...