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Event-Triggered Output Feedback H∞ Control for Markov-Type Networked Control Systems

open access: yesMathematics
This paper studies the output feedback H∞ control problem of event-triggered Markov-type networked control systems. Firstly, a new Lyapunov–Krasovskii functional is constructed, which contains an event-triggered scheme, Markovian jump system, and ...
Xuede Zhou   +3 more
doaj   +1 more source

Lyapunov type inequalities for systems

open access: yes, 2020
This thesis is about Lyapunov type inequalities for systems. After important definitions and theorems have been mentioned, some important results about Lyapunov type inequalities obtained both for the systems consisting of differential and difference equations have been given systematically.
openaire   +1 more source

Lyapunov-type inequalities for \(n\)-dimensional quasilinear systems

open access: yesElectronic Journal of Differential Equations, 2013
Summary: We prove generalized Lyapunov-type inequalities for a special case of the system \[ -(r_k(x) \phi_{p_k}(u_k'))'= f_k(x) \phi_{\alpha_{kk}}(u_k) \prod^n_{i=1,\,i\neq k} |u_i|^{\alpha_{ki}},\tag{1} \] where \(n\in\mathbb{N}\), \(\phi_\gamma(u)= |u|^{\gamma-2} u\), \(\gamma> 1\), \(r_k\), \(f_k\in C([a,b], \mathbb{R})\), \(r_k(x)> 0\) for \(k= 1 ...
openaire   +3 more sources

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