Singularly Perturbed Problems with Multi-Tempo Fast Variables

Composite Observer of a Linear Time-Varying Singularly Perturbed System with Quasidifferentiable Coefficients

“…, where S f (t) and S 0 f (t) are the observability matrices of the tfamily of fast subsystems and its canonical Frobenius form, calculated using the formulas ( 12), (13) with matrices A 4 (t), c 2 (t) and A 0 f (t), c 0 f (t), respectively. 3) Choose real numbers λ 1 , λ 2 , .…”

“…as models of multi-tempo processes when simulating the dynamics of aircraft, chemical reactions, movements of robotic manipulators, etc. (see reviews [9][10][11][12][13] and references there). For SPS, depending on the information about the small parameter and the needs of the applications, different formulations of observation problems can be considered: with a known value of the small parameter µ [14], for a 374 TSEKHAN known closed interval of values of the small parameter µ ∈ [µ, µ] ⊂ (0, µ 0 ] [15], for an unknown value of the small parameter µ [16].…”