in this paper, sufficient conditions are proposed to investigate the robust stability of arbitrary switched linear systems with uncertain parameters belongs to the known intervals. in addition, a method is then established to determine the maximum intervals of parameters' variations which guarantee robust exponential stability of uncertain switched linear systems under arbitrary switching. in t...

In this paper, the problem of stability analysis and stabilization synthesis of switched linear systems with time delay is studied in continuous-time domain. First, two sufficient conditions are established under which the system is asymptotically stable under arbitrary switching signal, and, if a set of linear matrix inequalities is solvable, a state feedback controller can be designed to stab...

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...

Two phenomena can produce chattering: switching of input control signal and the large amplitude of this switching (switching gain). To remove the switching of input control signal, dynamic sliding mode control (DSMC) is used. In DSMC switching is removed due to the integrator which is placed before the plant. However, in DSMC the augmented system (system plus the integrator) is one dimension bi...

The paper presents asymptotic, and input-to-state stability results, for switched systems with dwell time in which the switching signal is not arbitrary, but is rather chosen as part of the control design strategy. Then, appropriate switching policies allow the use of functions without sign-definite time derivatives in lieu of a common Lyapunov-like function.

We study observability of switched differentialalgebraic equations (DAEs) for arbitrary switching. We present a characterization of observability and, a related property called, determinability. These characterizations utilize the results for the single-switch case recently obtained by the authors. Furthermore, we study observability conditions when only the mode sequence of the switching signa...

This paper extends the idea of switching T-S fuzzy systems with linear consequent parts to nonlinear ones. Each nonlinear subsystem is exactly represented by a T-S fuzzy system with Lure’ type consequent parts, which allows to model and control wider classes of switching systems and also reduce the computation burden of control synthesis. With the use of a switching fuzzy Lyapunov function, the...

In this paper, sufficient conditions are proposed to investigate the robust stability of arbitrary switched linear systems with uncertain parameters belongs to the known intervals. In addition, a method is then established to determine the maximum intervals of parameters' variations which guarantee robust exponential stability of uncertain switched linear systems under arbitrary switching. In t...

Based on virtual equivalent system concept and methodology, a unified analysis of the stability and convergence of switching multiple model adaptive control (MMAC) of linear time-invariant discrete plant is presented. The main results are expressed by three criteria. Two of them are applicable to switching MMAC systems with arbitrary control strategy, arbitrary parameter estimation algorithm an...

Group consensus problems of multi-agent systems in directed networks with fixed and switching topologies are addressed in this note. Under mild assumptions, necessary and/or sufficient conditions of group consensus are derived, based on algebraic graph theories and matrix theories. For the fixed topology case, the group consensus can be guaranteed by the Hurwitz stability of coefficient matrice...