This paper considers discrete-time switched systems under dwell-time switching and in the presence of saturation nonlinearity. Based on Multiple Lyapunov Functions and using polytopic representation of nested saturation functions, a sufficient condition for asymptotic stability of such systems is derived. It is shown that this condition is equivalent to linear matrix inequalities (LMIs) and as ...

40 Impact of Varying Environmental Conditions Simulate switched extremum seeking controller for 1000 W/m2 to 500 W/m2 step change in incident solar irradiation at 200 ms Lyapunov-Based Switching Scheme • Use stability proof by Krstic and Wang, Automatica, 2000. • Compute the average system: xa = 1/T ∫T x(τ)dτ • Linearize the averaged system about the extremum point: A = [dfa/dxa]eq • Show the J...

We consider a number of questions pertaining to the stability of positive switched linear systems. Recent results on common quadratic, diagonal, and copositive Lyapunov function existence are reviewed and their connection to the stability properties of switched positive linear systems is highlighted. We also generalise the concept of D-stability to positive switched linear systems and present s...

We prove a robust converse barrier function theorem via the Lyapunov theory. While use of as is straightforward, existence for given safety set not. establish this link by robustness argument. show that closure forward reachable robustly safe must be asymptotically stable under mild technical assumptions. As result, all dynamical systems admit in form stability. present results both continuous-...

This paper analyzes the stability of a direct current microgrid with decentralized switched control using differential-algebraic equations and Lyapunov functions. The controllers regulate voltage, achieve power-sharing condition, guaranty non-Zeno condition. They also fulfill droop-control condition for optimal power dispatch. event either connecting or disconnecting converter is analyzed as ev...

This paper investigates the Lyapunov characterizations of input-to-output stability (IOS) and input-to-state (ISS) for nonlinear switched systems. The restriction on negativity derivatives functions is relaxed; additionally, subsystems are not restricted to be ISS/IOS throughout state space. These problems overcome by a newly proposed method, which extends multiple (MLFs) an indefinite form. In...

We present an approach for the stability-preserving model order reduction of switched linear systems with individual subspaces for arbitrary switching signals. First the high-order subsystems of the switched system are reduced by any reduction method and stabilized if necessary. Then the reduced subsystems are made contractive by solving low-dimensional Lyapunov equations. During time simulatio...

This chapter focuses on the stability analysis problem for a class of continuous-time switched time-delay systems modelled by delay differential equations under arbitrary switching. Then, a transformation under the arrow form is employed. Indeed, by using a constructed Lyapunov function, the aggregation techniques, the Kotelyanski lemma associated with the M-matrix properties, new delay-depende...