This paper provides a method to design an optimal switching sequence for jump linear systems with given Gaussian initial state uncertainty. In the practical perspective, the initial state contains some uncertainties that come from measurement errors or sensor inaccuracies and we assume that the type of this uncertainty has the form of Gaussian distribution. In order to cope with Gaussian initia...

We define observability and detectability for linear switching systems as the possibility of reconstructing and respectively of asymptotically reconstructing the hybrid state of the system from the knowledge of the hybrid outputs for a suitable choice of the control input. We derive a necessary and sufficient condition for observability that can be verified computationally. A characterization o...

This paper discusses the applicability of a switching control scheme for a nonlinear system with ill-defined relative degree. The control scheme switches between exact and approximate input-output linearisation control laws. Unlike a linear system under a switching control scheme, the equilibria of a nonlinear system may change with the switching. It is pointed out that this is not sufficient t...

This paper is concerned with the problem of controller design for switched systems under asynchronous switching with exogenous disturbances. The attention is focused on designing the feedback controller that guarantees the finite-time bounded and L∞ finite-time stability of the dynamic system. Firstly, when there exists asynchronous switching between the controller and the system, a sufficient ...

We, for the first time, investigate the basic behaviours of a chaotic switching fractional system via both theoretical and numerical ways. To deeply understand the mechanism of the chaos generation, we also analyse the parameterization of the switching fractional system and the dynamics of the system’s trajectory. Then we try to write down some detailed rules for designing chaotic or chaos-like...

This paper describes a design problem of the controller in switched systems. A switched system is a hybrid dynamical system consisting of continuous-time subsystems and a rule that controls the switching between them. The uncertainties of stability in the switching surface is a very sufficient problem in designing a switching-type controller. The stability analysis in the switching surface and ...

Sharing buffer space between switch ports greatly improves the pelformunee of the switching systems. Howevel; sharing buffers in a fair Manner is not an easy task. In this paper we propose a high-performunee ATM switching system with fairly and completely shared buffers. The core of the proposed switching system is a novel buffer management mechanism with which buffer space in the switching sys...

In this paper design of switching controllers for linear systems is considered. The controllers are LQ controllers with prescribed degree of stability and switching sequence is determined by minimization of suitable defined priority function. Hybrid controller is developed based on system performance. In the form of theorem is proved: equilibrium point of the hybrid system is exponentially stab...

The paper by Liana, Zhao, and Dimirovskid shows one of the latest advances in switched systems by incorporating sliding mode control with a nonlinear integral switching surface. It is worthwhile comparing two types of switching mechanisms employed in this work. The first type is the system structural switching with an average dwell time. Hence, the switching frequency should be finite, and the ...