1,924 research outputs found
Robust Stability of Switched Delay Systems with Average Dwell Time under Asynchronous Switching
The problem of robust stability of switched delay systems with average dwell time under asynchronous switching is investigated. By taking advantage of the average dwell-time method and an
integral inequality, two sufficient conditions are developed to guarantee the global exponential stability of the considered switched system. Finally, a numerical example is provided to demonstrate the effectiveness and feasibility of the proposed techniques
Finite-Time Stability Analysis of Switched Genetic Regulatory Networks
This paper investigates the finite-time stability problem of switching genetic regulatory networks (GRNs) with interval time-varying delays and unbounded continuous distributed delays. Based on the piecewise Lyapunov-Krasovskii functional and the average dwell time method, some new finite-time stability criteria are obtained in the form of linear matrix inequalities (LMIs), which are easy to be confirmed by the Matlab toolbox. The finite-time stability is taken into account in switching genetic regulatory networks for the first time and the average dwell time of the switching signal is obtained. Two numerical examples are presented to illustrate the
effectiveness of our results
Invariance principles for switched systems with restrictions
In this paper we consider switched nonlinear systems under average dwell time
switching signals, with an otherwise arbitrary compact index set and with
additional constraints in the switchings. We present invariance principles for
these systems and derive by using observability-like notions some convergence
and asymptotic stability criteria. These results enable us to analyze the
stability of solutions of switched systems with both state-dependent
constrained switching and switching whose logic has memory, i.e., the active
subsystem only can switch to a prescribed subset of subsystems.Comment: 29 pages, 2 Appendixe
Linear Programming based Lower Bounds on Average Dwell-Time via Multiple Lyapunov Functions
With the objective of developing computational methods for stability analysis
of switched systems, we consider the problem of finding the minimal lower
bounds on average dwell-time that guarantee global asymptotic stability of the
origin. Analytical results in the literature quantifying such lower bounds
assume existence of multiple Lyapunov functions that satisfy some inequalities.
For our purposes, we formulate an optimization problem that searches for the
optimal value of the parameters in those inequalities and includes the
computation of the associated Lyapunov functions. In its generality, the
problem is nonconvex and difficult to solve numerically, so we fix some
parameters which results in a linear program (LP). For linear vector fields
described by Hurwitz matrices, we prove that such programs are feasible and the
resulting solution provides a lower bound on the average dwell-time for
exponential stability. Through some experiments, we compare our results with
the bounds obtained from other methods in the literature and we report some
improvements in the results obtained using our method.Comment: Accepted for publication in Proceedings of European Control
Conference 202
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