Uniform stability of switched linear systems: extensions of LaSalle's Invariance Principle

By João Pedra Hespanha. IEEE Transactions on Automatic Control, 2004

916 citations recorded by the source corpus.

Subfields: Control and Systems Engineering

View Paper: https://www.semanticscholar.org/paper/42b0a5b1e77fd8f0931b584fbad91d7b7c446570

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Control and Systems Engineering

Citations in the corpus

Stability of a Class of Linear Switching Systems with Applications to Two Consensus Problems (2011, methodology): “Other methods such as multiple Lyapunov function [2], generalized LaSalle’s invariance principle [5] can also be used to determine the asymptotic stability of the linear switched systems for the case where is Hurwitz.”
Stability, ${l}_{2}$ -Gain and Asynchronous ${H}_{{\infty}}$ Control of Discrete-Time Switched Systems With Average Dwell Time (2009, background): “This differentiates switched systems from the general time-varying systems, since the solutions of the former are dependent on both system initial conditions and switching signals [3].”
Stability and Stabilizability of Switched Linear Systems: A Survey of Recent Results (2009, background): “In [35], Hespanha showed that when the class of switching signals is time-controlled, i.”
Input-to-state stability of impulsive and switching hybrid systems with time-delay (2011, background): “We usually study the properties of a switched system not under a particular switching signal, but rather under various classes of switching signals (see, e.g., Hespanha (2004) and Liberzon (2003)).”
STABILIZATION OF SWITCHED SYSTEMS VIA OPTIMAL CONTROL (2005, background): “The results of Hespanha [13] and Sun [28] seem to imply that for the class of systems we consider exponential stability and asymptotic stability coincide.”
Stability Criteria for Switched and Hybrid Systems (2007, background): “In this context the notion of dwell-time arises in several recent papers on the application of LaSalle’s results to switched systems [6, 100, 66].”
Robust stability and stabilization of linear switched systems with dwell time (2010, background): “An overview of different constraints that may be imposed on the switching law may be found in [ 6 ].”
Stability of switched systems with time delay (2007, methodology): “Multiple Lyapunov function techniques are used in [10] [11] [12] [13] [14] [15] [16] [17] [18] [19] [20] to investigate the stability of the switched systems.”