This thesis deals with the stability analysis of switched linear systems. Such systems are characterised by a mixture of continuous dynamics and logic-based switching between discrete modes. This system class appears in a large variety of control systems and has a wide field of applications in the modern industrial society. While the application of switched control systems can be very beneficia...

This paper presents a general framework for analyzing stability of nonlinear switched systems, by combining the method of multiple Lyapunov functions with a suitably adapted comparison principle in the context of stability in terms of two measures. For deterministic switched systems, this leads to a unification of representative existing results and an improvement upon the current scope of the ...

In the last decade, switched systems have gained much attention since a large class of practical systems can be modeled as switched systems (see e.g., (Dayawansa & Martin, 1999)) and there exist systems that cannot be asymptotically stabilized by a single continuous feedback control law (see e.g., (Brockett, 1983)). For stability analysis of switched systems, many interesting results have been ...

Keywords: Positive systems Switched systems Exponential stability L 1-gain performance Controller design Time-varying delays Average dwell time a b s t r a c t This paper investigates the problems of stability and L 1-gain controller design for positive switched systems with mixed time-varying delays. The mixed time-varying delays are presented in the forms of discrete delay and distributed del...

In this paper, we report some recent development on practical stabilizability of discrete-time switched systems. We first introduce some practical stabilizability notions for discrete-time switched systems. Then we propose some sufficient conditions for the -practical asymptotic stabilizability of such systems. Furthermore, we focus on a class of discrete-time switched systems — namely, switche...

Switched systems are an important subclass of hybrid systems that consists of subsystems with continuous dynamics and a rule to regulate the switching behavior between them. Switched systems appear in a wide range of applications, such as intelligent transportation systems and smart energy systems. Due to the desire to drive switched systems toward optimal behavior, e.g. maximization of traffic...

This paper addressed the computation of the L2-induced gain for a class of switched systems. The main contribution of the paper is to completely characterize the induced gain of the switched system through a system of differential inequalities, one for each system being switched. The motivation for computing the induced gain of a switched system is the application of robust stability tools to t...

where { fα(.) : α ∈ Ω}, is a family of functions that is parameterized by some index set Ω, and α(·) ∈ Ω depending on the system state in each time is a switching rule/signal. The set Ω is typically a finite set. Switched systems arise in many practical models in manufacturing, communication networks, automotive engine control, chemical processes, and so on; see for example (D. Liberzon, 2003; ...

For the delay may degrade the performance of networked control systems, networked control systems based on 100 M switched Ethernet are proposed in this paper. According to the working principle of Ethernet switch, the formulas of the upper bound delay of the single-level switched Ethernet and the multiple-level switched Ethernet are deduced by the timing diagram method, and the values of the up...