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This paper investigates the number of switchings and design of switching sequences for controllability of switched linear systems. Two related results are established. One is a new constructive approach to designing switching sequences. The controllable state set of each switching sequence designed via the approach coincides with the controllable subspace of switched linear systems. The other is a...
In (D. Cheng et. al, 2004),(D. Cheng et. al, 2005), it is proved that for a given controllable pair (A, B) with A isin Ropfn times n, B isin Ropfn times m, and any lambda > 0, a gain matrix K can be designed so that pare(A + BK)t par les MlambdaLe-lambdat where M and L are constants independent of A. Here we show that M and L can be chosen much smaller than that proposed in (D. Cheng et. al, 2004),(D...
This paper addresses the problem of robust stability and stabilization of a class of nonlinear switched systems when each subsystem is not stabilized by a designed single static output feedback. Both the condition on robust stability only via switching and the condition on switched static output feedback controllers are expressed in terms of matrix inequalities. These conditions are derived by multiple...
Based on multiple Lyapunov functions methodology, we study disturbance attenuation of discrete-time switched linear systems. A bilinear matrix inequalities (BMIs) based condition is derived to stabilize the switched system with a prescribed disturbance attenuation level Upsi when only switching can be utilized in the control of systems. This condition can be dealt with as linear matrix inequalities...
Geometric properties of null controllable region of discrete-time switched linear systems with input saturation are studied. We show that the null controllable region is not convex in general and is centrally symmetric. Under certain conditions, it can be well approximated by a nondecreasing region sequence. It is also shown that the null controllable region is contained in the Minkowski sum of null...
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