The paper proposes a general framework to study the exponential stabilization problem for a class of nonlinear systems. By using the σ-processing, the exponential stabilization problem can be solved provided that all solutions of an augmented system are uniformly globally bounded. Based on this result, a simple and general stability criterion is presented. Two well-known nonholonomic systems ar...

Department of Electrical Engineering, National SunYat-Sen University, Kaohsiung, Taiwan 804, R.O.C. Email: [email protected] Department of Marine Engineering, National Kaohsiung Marine University, Kaohsiung, Taiwan 811, R.O.C. Email: [email protected] Abstract The global exponential stability for a class of delayed cellular neural networks (DCNN) with time-varying delay is c...

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; ...

This paper addresses the exponential stability problem for a class of discrete-time switched linear positive systems (DSLPSs) with time-delay. Firstly, an exponential stability criterion for a non-switched delay positive system is proposed. Then, by constructing a suitable co-positive type Lyapunov–Krasovskii functional, an exponential stability criterion for switched delay positive systems is ...

This paper addresses the exponential stability of linear time-delay systems neutral type. In general, it is quite a challenge to establish conditions on parameters system in order guarantee such stability. Recent works emphasized link between maximal multiplicity and dominant roots. Indeed, for given multiple root be necessarily are investigated, this property known as Multiplicity-Induced-Domi...

the paper is concerned with robust stability criteria for takagi- sugeno (t-s) fuzzy systems with distributed delays and time delay in the leakage term. by exploiting a model transformation, the system is converted to one of the neutral delay system. global robust stability result is proposed by a new lyapunov-krasovskii functional which takes into account the range of delay and by making use o...