Absolute stability for multiple delay general Lur’e control systems with multiple nonlinearities. (English) Zbl 1032.93062
The aim of this paper is to give necessary and sufficient conditions for the existence of Lyapunov functionals to guarantee absolute stability for multiple delay general Lur’e control systems with multiple nonlinearities in the bounded sector. The existence reduces to a problem of solving a group of linear matrix inequalities. An illustrative example is given.
Reviewer: M.Megan (Timişoara)
MSC:
| 93D10 | Popov-type stability of feedback systems |
| 93C23 | Control/observation systems governed by functional-differential equations |
| 93C10 | Nonlinear systems in control theory |
Keywords:
Lur’e control systems; Time-delay; Absolute stability; Lyapunov functional; Linear matrix inequality (LMI)References:
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