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Stability Analysis of Continuous-Time Switched Systems with a Random Switching Signal [PDF]

open access: yes, 2013
This paper is concerned with the stability analysis of continuous-time switched systems with a random switching signal. The switching signal manifests its characteristics with that the dwell time in each subsystem consists of a fixed part and a random ...
Lam, James   +3 more
core   +2 more sources

LMI-Observer-Based Stabilizer for Chaotic Systems in the Existence of a Nonlinear Function and Perturbation

open access: yesMathematics, 2021
In this study, the observer-based state feedback stabilizer design for a class of chaotic systems in the existence of external perturbations and Lipchitz nonlinearities is presented.
Hamede Karami   +4 more
doaj   +1 more source

Improved Stability Criteria for Markovian Jump Systems with Time-Varying Delays

open access: yesAbstract and Applied Analysis, 2014
The delay-dependent stochastic stability problem of Markovian jump systems with time-varying delays is investigated in this paper. Though the Lyapunov-Krasovskii functional is general and simple, less conservative results are derived by using the convex ...
Yu-cai Ding, Hui Liu, Baodan Tian
doaj   +1 more source

Quantized Dissipative Observer-Based Output Feedback Control for a Class of Markovian Descriptor Jump Systems with Communication Delay

open access: yesComplexity, 2020
This paper investigates the problem of quantized dissipative observer-based output feedback control of Markovian descriptor jump systems with unavailable states, appearing networked-induced delay.
Muhammad Shamrooz Aslam, Xisheng Dai
doaj   +1 more source

Robust constrained model predictive control based on parameter-dependent Lyapunov functions [PDF]

open access: yes, 2008
The problem of robust constrained model predictive control (MPC) of systems with polytopic uncertainties is considered in this paper. New sufficient conditions for the existence of parameter-dependent Lyapunov functions are proposed in terms of linear ...
B. Pluymers   +21 more
core   +1 more source

Uniformly asymptotic stability of second-order linear time-varying systems

open access: yesAdvances in Mechanical Engineering, 2020
This paper is concerned with the stability of second-order linear time-varying systems. By utilizing the Lyapunov approach, a generally uniformly asymptotic stability criterion is obtained by adding the system matrices into the quadratic Lyapunov ...
Da-Ke Gu, Chao Lu
doaj   +1 more source

Small gain theorems for large scale systems and construction of ISS Lyapunov functions

open access: yes, 2009
We consider interconnections of n nonlinear subsystems in the input-to-state stability (ISS) framework. For each subsystem an ISS Lyapunov function is given that treats the other subsystems as independent inputs.
Dashkovskiy, Sergey N.   +2 more
core   +2 more sources

Symplectic Calculation of Lyapunov Exponents

open access: yes, 1994
The Lyapunov exponents of a chaotic system quantify the exponential divergence of initially nearby trajectories. For Hamiltonian systems the exponents are related to the eigenvalues of a symplectic matrix. We make use of this fact to develop a new method
Habib, Salman, Ryne, Robert D.
core   +1 more source

Continuum limit of random matrix products in statistical mechanics of disordered systems [PDF]

open access: yes, 2018
We consider a particular weak disorder limit ("continuum limit") of matrix products that arise in the analysis of disordered statistical mechanics systems, with a particular focus on random transfer matrices.
Comets, Francis   +2 more
core   +4 more sources

Finite-Time H∞ Control for Time-Delayed Stochastic Systems with Markovian Switching

open access: yesAbstract and Applied Analysis, 2014
This paper studies the problem of finite-time H∞ control for time-delayed Itô stochastic systems with Markovian switching. By using the appropriate Lyapunov-Krasovskii functional and free-weighting matrix techniques, some sufficient conditions of finite ...
Wenhua Gao   +3 more
doaj   +1 more source

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