Sign-stability of positive Markov jump linear systems

J Cavalcanti, H Balakrishnan - Automatica, 2020 - Elsevier
This paper investigates stability of Positive Markov Jump Linear Systems (PMJLSs) in the
absence of a numerical realization. It considers the situation when only signs (and not …

Limits of Stability and Stabilization of Time-Delay Systems

J Zhu, T Qi, D Ma, J Chen - Advances in Delays and Dynamics, 2018 - Springer
Time delays are a prevailing scene in natural and engineered systems. Modern
interconnected networks are especially prone to long and variable delays; systems and …

Kernel-based identification of positive systems

M Khosravi, RS Smith - … IEEE 58th Conference on Decision and …, 2019 - ieeexplore.ieee.org
In this paper, we introduce a novel method for identification of internally positive systems. In
this regard, we consider a kernel-based regularization framework. For the existence of a …

Data-driven positive stabilization of linear systems

B Shafai, A Moradmand, M Siami - 2022 8th International …, 2022 - ieeexplore.ieee.org
This paper considers the data-driven control problem for the important class of positive
systems. Due to the fact that such systems appear in diverse application areas whereby data …

Stability radii for positive linear time-invariant systems on time scales

TS Doan, A Kalauch, S Siegmund, FR Wirth - Systems & Control Letters, 2010 - Elsevier
We deal with dynamic equations on time scales, where we characterize the positivity of a
system. Uniform exponential stability of a system is determined by the spectrum of its matrix …

Stability of polytopic systems via convex M-matrices and parameter-dependent Liapunov functions

DM Stipanović, DD Šiljak - Nonlinear Analysis, Theory, Methods …, 2000 - experts.illinois.edu
A study was conducted to derive number of sufficient conditions for the convex combination
of a set of M-matrices to be an M-matrix. The conditions are obtained using as diverse tools …

Constrained stabilization with maximum stability radius for linear continuous-time systems

B Shafai, R Ghadami, A Oghbaee - 52nd IEEE Conference on …, 2013 - ieeexplore.ieee.org
This Paper considers the problem of constrained stabilization of linear continuous-time
systems by state feedback control law. The goal is to solve this problem under positivity …

On stability and robust stability of positive linear Volterra equations

PHA Ngoc, T Naito, JS Shin, S Murakami - SIAM Journal on Control and …, 2008 - SIAM
We first introduce the notion of positive linear Volterra integrodifferential equations. Then we
give some characterizations of these positive equations. An explicit criterion and a Perron …

Stability radii of positive linear functional differential equations under multi-perturbations

PHA Ngoc, NK Son - SIAM Journal on Control and Optimization, 2005 - SIAM
We study stability radii of linear retarded systems described by general linear functional
differential equations. A lower and an upper bound for the complex stability radius with …

Robustness of exponential stability of a class of switched positive linear systems with time delays

NK Son, L Van Ngoc - … Journal of Robust and Nonlinear Control, 2024 - Wiley Online Library
This paper investigates the robustness of exponential stability of a class of positive switched
systems described by linear functional differential equations (FDE) under arbitrary switching …