Stability Analysis for Time-Varying Systems With Delay Using Linear Lyapunov Functionals and a Positive Systems Approach

DOI10.1109/TAC.2015.2446111zbMath1359.93398OpenAlexW2291387600MaRDI QIDQ2980643

Michael Malisoff, Frederic Mazenc

Publication date: 3 May 2017

Published in: IEEE Transactions on Automatic Control (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1109/tac.2015.2446111

Mathematics Subject Classification ID

Asymptotic stability in control theory (93D20) Robust stability (93D09) Stability theory of functional-differential equations (34K20)

Related Items

Frequency-domain stability criteria for SISO and MIMO nonlinear feedback systems with constant and variable time-delays ⋮ Event-triggered control for linear time-varying systems using a positive systems approach ⋮ Razumikhin and Krasovskii stability theorems for time-varying time-delay systems ⋮ \(H_\infty\) finite time control for discrete time-varying system with interval time-varying delay ⋮ Input-to-state stability for time-varying delayed systems in Halanay-type inequality forms ⋮ Dwell-time stability and stabilization conditions for linear positive impulsive and switched systems ⋮ Event-triggered control for continuous-time linear systems with a delay in the input ⋮ Stability and stabilization for positive systems with semi-Markov switching ⋮ Stability of time‐varying systems with delayed impulsive effects ⋮ An optimization approach to static output-feedback control of LTI positive systems with delayed measurements ⋮ Conditions of stability and guaranteed convergence rate for linear time-varying discrete-time delay systems ⋮ Stability and robust stability of non-autonomous linear differential equations with infinite delay ⋮ Unnamed Item ⋮ Stability analysis of linear time-varying time-delay systems by non-quadratic Lyapunov functions with indefinite derivatives ⋮ Sampled-data control for a class of linear time-varying systems ⋮ Construction of strict Lyapunov-Krasovskii functionals for time-varying time-delay systems ⋮ On \(\ell_1\)-gain control of 2-d positive Roesser systems with directional delays: necessary and sufficient conditions ⋮ Stability and performance analysis of linear positive systems with delays using input–output methods ⋮ Gramian-based uniform convergent observer for stable LTV systems with delayed measurements ⋮ Event-triggered control using a positive systems approach ⋮ On stability analysis of nonlinear time-delay systems on time scales ⋮ Razumikhin and Krasovskii methods for asymptotic stability of nonlinear delay impulsive systems on time scales ⋮ Subpredictor approach for event-triggered control of discrete-time systems with input delays