The stabilization of switched linear systems with constrained inputs (SLSCI) is considered. The authors design admissible linear state feedbacks and the switching rule which has a minimal dwell time (MDT) to stabilized the system. First, for each subsystem with constrained inputs, a stabilizing linear state feedback and an invariant set of the closed-loop system are simultaneously constructed, ...

In this paper, the reachability realization of a switched linear discrete-time system, which is a collection of linear time-invariant discrete-time systems along with some maps for “switching” among them, is addressed. The main contribution of this paper is to prove that for a switched linear discrete-time system, there exists a basic switching sequence such that the reachable (controllable) st...

In this paper, piecewise linear switched systems affected by both parameter variations and exterior disturbances are considered. The problem of synthesis of switching laws, which assure that the system state is ultimately bounded within a given compact set containing the origin with an assigned rate of convergence, is investigated. Given an uncertain switched linear system, we present a systema...

-The Switched reluctance machine (SRM) can be operated as a motor/generator which is the subject of interest by many researchers in the field of electrical machines for the last few decades. Many research papers have concluded that Switched Reluctance Generator (SRG) has proved to be a valid alternative to the classical generators in many industrial applications especially in the field of wind ...

We study the stabilization problem of discrete-time planar switched linear systems with impulse. When all subsystems are controllable, based on an explicit estimation on the state transitionmatrix, we establish a sufficient condition such that the switched impulsive system is stabilizable under arbitrary switching signal with given switching frequency. When there exists at least one uncontrolla...

We present and discuss the definition of the adjoint and dual of a switched differential-algebraic equation. Based on this definition, we prove duality between controllability/reachability and determinability/observability for switched differential-algebraic equations. The switched system is viewed as a (linear) time-varying system, i.e. the switching signal is assumed to be fixed. In particula...

In this paper, the problems of control and stabilization of switched nonlinear cascade systems is investigated. The so called simultaneous domination limitation (SDL) is introduced in previous works to assure the existence of a common quadratic Lyapunov function (CQLF) for switched nonlinear cascade systems. According to this idea, if all subsystems of a switched system satisfy the SDL, a CQLF ...

In the present paper, we study several qualitative properties of a class of nonlinear switched systems under certain switching laws. First, we show that if all the subsystems are linear time-invariant and the system matrices are commutative componentwise and stable, then the entire switched system is globally exponentially stable under arbitrary switching laws. Next, we study the above linear s...

in this paper we present a method for solving fuzzy linear systemsby two crisp linear systems. also necessary and sufficient conditions for existenceof solution are given. some numerical examples illustrate the efficiencyof the method.