Complete controllability and controllability for linear autonomous systems of neutral type

Abstract

We solve the complete controllability problem for linear autonomous systems of neutral type with many commensurable delays in the case when a system solution is required to be an absolutely continuous functions. We propose a control method for the said objects if they do not have the complete controllability property.

Exact null controllability, complete stabilizability and continuous final observability of neutral type systems

“…Let us show that condition 2 is verified. We follow a method used in [14] (see also [9]). Then, for some T , for all initial conditions, in particular for all ϕ ∈ H 1 (−1, 0; R n ), there is a control u(·) ∈ L 2 (0, T ; R), u(t) = 0 for t > T , such that z(t) = 0, t > T .…”

Non‐Fragile Observer‐Based Control for Uncertain Neutral‐Type Systems via Sliding Mode Technique

“…The developed method neither requires the information of the system state nor a priori knowledge of the upper bounds of uncertainties by resorting to the adaptive SMC. 4. Numerical examples are given to justify the effectiveness and superiority of the result.…”

“…It is more sensitive to time-delays [2,3] and can be easily destabilized. Therefore, a great many remarkable results on controllability [4], stability and stabilization [5][6][7][8][9][10][11][12][13] of neutral systems have been reported. There have been a number of developments on modeling and control design for neutral systems in various theoretical and practical aspects [14][15][16][17][18][19][20][21][22][23][24].…”

Null controllability of neutral system with infinite delays

“…Neutral functional differential systems have applications in many areas of study because of its importance as mathematical models for phenomena in both science and engineering; see Corduneanu (2002), Khartovskii and Pavlovskaya (2013) and references therein. The controllability of neutral functional differential systems, in particular null controllability of neutral functional differential systems have been studied, see for example Onwuatu (1984) and Underwood and Chukwu (1988).…”