Stability Analysis of Second-Order Switched Homogeneous Systems

Stability Analysis of Second-Order Switched Homogeneous Systems

Stabilization of second-order LTI switched systems

This paper studies and solves the problem of asymptotic stabilization of switched systems consisting of unstable secondorder linear time-invariant (LTI) subsystems. Necessary and su cient conditions for asymptotic stabilizability are ® rst obtained. If a switched system is asymptotically stabilizable, then the conic switching laws proposed in the paper are used to construct a switching law tha...

Stability analysis of fractional-order nonlinear Systems via Lyapunov method

‎In this paper‎, ‎we study stability of fractional-order nonlinear dynamic systems by means of Lyapunov‎ ‎method‎. ‎To examine the obtained results‎, ‎we employe the developed techniques on test examples‎.

Stability of Discrete-Time Switched Homogeneous Systems on Cones and Conewise Homogeneous Inclusions

This paper presents a stability analysis of switched homogeneous systems on cones under arbitrary and optimal switching rules with extensions to conewise homogeneous or linear inclusions. Several interrelated approaches, such as the joint spectral radius approach and the generating function approach, are exploited to derive necessary and sufficient stability conditions and to develop suitable a...

Stability Analysis of the Second Order { Modulator

Philip Steiner and Woodward Yang Division of Applied Sciences, Harvard University Cambridge, MA Abstract The stability of the second order { modulator proposed by Candy [1] is proven for any properly bounded DC input. It is found, however, that there exists a class of AC inputs for which this { modulator is unstable over most of the dynamic range of the input. The possible extension of the meth...