Stability and Stabilization of Continuous-Time Switched Linear Systems

By José Claudio Geromel, Patrizio Colaneri. SIAM Journal of Control and Optimization, 2006

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Dynamic Output Feedback Control of Switched Linear Systems (2008, methodology): “In this paper, the stability conditions for continuous- and discrete-time linear switched systems, provided, respectively, in [ 10 ] and [11], are used.”
Robust stability and stabilization of linear switched systems with dwell time (2010, methodology): “The best stability result attained so far, that is both efficiently computable and yields a sufficient result, is the one of [2] (it can also be found also in [4]).”
Technical communique: Switched state feedback control for continuous-time uncertain systems (2009, unknown): “However, as indicated in Geromel and Colaneri (2006), a more conservative but easier to solve stability condition can be obtainedwhenever a subclass ofMetzlermatrices composed by equal elements in themain diagonal is used.”
State feedback ℋ ∞ control design of continuous-time switched affine systems (2015, background): “For switched linear systems, the literature presents several important results concerning the control design of a switching rule based on state feedback [6], [7] and on output feedback [8], [9].”
Stability analysis of a class of uncertain switched systems on time scale using Lyapunov functions (2015, unknown): “They can be categorized into two separated directions depending onwhether each subsystem is continuous-time [13,14] or discrete-time [15,16].”