Input-to-state stability of nonlinear systems based on an indefinite Lyapunov function

From MaRDI portal
Publication:1932745

DOI10.1016/j.sysconle.2012.08.009zbMath1255.93127OpenAlexW2103271720MaRDI QIDQ1932745

Yanyan Li

Publication date: 21 January 2013

Published in: Systems \& Control Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.sysconle.2012.08.009




Related Items (41)

Fixed-time stabilization of IT-2 T-S fuzzy control systems with discontinuous interconnections: indefinite derivative Lyapunov methodInput-to-state stability of switched nonlinear delay systems based on a novel Lyapunov-Krasovskii functional methodInput‐to‐state stability of nonlinear stochastic time‐varying systems with impulsive effectsRazumikhin and Krasovskii stability theorems for time-varying time-delay systemsImproved Razumikhin and Krasovskii stability criteria for time-varying stochastic time-delay systemsImproved Razumikhin and Krasovskii approaches for discrete-time time-varying time-delay systemsInput-to-state stability of nonlinear switched systems via Lyapunov method involving indefinite derivativeA unified Razumikhin-type criterion on input-to-state stability of time-varying impulsive delayed systemsJacobi stability analysis and impulsive control of a 5D self-exciting homopolar disc dynamoStochastic input-to-state stability and \(H_{\infty}\) filtering for a class of stochastic nonlinear systemsLyapunov characterization for the stability of stochastic control systemsDynamics of switching van der Pol circuitsEvent-triggered adaptive neural backstepping control for nonstrict-feedback nonlinear time-delay systemsStability and ℒ2-gain analysis based on multiple discontinuous Lyapunov function approaches for switched systems with unstable modesExponential stability and boundedness of nonlinear perturbed systems by unbounded perturbation termsFractional-order discontinuous systems with indefinite LKFs: an application to fractional-order neural networks with time delaysIndefinite multiple Lyapunov functions ofpth moment input‐to‐state stability andpth moment integral input‐to‐state stability for the nonlinear time‐varying stochastic systems with Markovian switchingInput-to-state stability of non-autonomous infinite-dimensional control systemsIndefinite Lyapunov functions for input-to-state stability of impulsive systemsImproved multiple Lyapunov functions of input-output-to-state stability for nonlinear switched systemsStability analysis of time-varying switched systems via indefinite difference Lyapunov functionsWeighted input-to-output practical stability of non-autonomous infinite-dimensional systems with disturbancesVerification of ISS, iISS and IOSS properties applying weighted homogeneityStability analysis by a nonlinear upper bound on the derivative of Lyapunov functionStability analysis of linear time-varying time-delay systems by non-quadratic Lyapunov functions with indefinite derivatives\(H_{\infty}\) filtering for stochastic singular fuzzy systems with time-varying delayIndefinite derivative Lyapunov-krasovskii functional method for input to state stability of nonlinear systems with time-delayExponential input-to-state stability of composite stochastic systemsInput-to-state stability of nonlinear impulsive systems via Lyapunov method involving indefinite derivativeFinite-time stability analysis and stabilization by bounded linear time-varying feedbackPartial stability analysis of nonlinear time-varying impulsive systemsConstruction of strict Lyapunov-Krasovskii functionals for time-varying time-delay systemsOn construction of Lyapunov functions for scalar linear time-varying systemsInput-to-state stability and no-inputs stabilization of delayed feedback chaotic financial system involved in open and closed economyAsymptotic stability analysis via indefinite Lyapunov functions and design of nonlinear impulsive control systemsFixed-time synchronization of delayed impulsive inertial neural networks with discontinuous activation functions via indefinite LKF methodNew criteria of input-to-state stability for nonlinear switched stochastic delayed systems with asynchronous switchingImpulsive systems with hybrid delayed impulses: input-to-state stabilityUniform stability of homogeneous time-varying systemsOn input-to-state practical \(h\)-stability for nonlinear time-varying systemsFinite-time stabilisation of a class of time-varying nonlinear systems by a mixed event-based and continuous-time strategy



Cites Work


This page was built for publication: Input-to-state stability of nonlinear systems based on an indefinite Lyapunov function