Results 91 to 100 of about 14,850 (259)
Stability Analysis of Linear Time-Varying Delay Systems via a Novel Augmented Variable Approach
MathematicsThis paper investigates the stability issues of time-varying delay systems. Firstly, a novel augmented Lyapunov functional is constructed for a class of bounded time-varying delays by introducing new double integral terms.
Wenqi Liao, Hongbing Zeng, Huichao Lin
doaj +1 more source
On the Ψ – Conditional Stability of Nonlinear Lyapunov Matrix Differential Equations
Annals of the West University of Timisoara: Mathematics and Computer Science, 2014 It is proved (necessary and) suficient conditions for Ψ conditional stability of the trivial solution of linear or nonlinear Lyapunov matrix differential ...
Diamandescu Aurel
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Lanczos with compression for symmetric matrix Lyapunov equations
CoRRThis work considers large-scale Lyapunov matrix equations of the form $AX + XA = \boldsymbol{c}\boldsymbol{c}^T$, where $A$ is a symmetric positive definite matrix and $\boldsymbol{c}$ is a vector. Motivated by the need to solve such equations in a wide range of applications, various numerical methods have been developed to compute low-rank ...
Angelo A. Casulli +2 more
openaire +2 more sources
Balancing related methods for minimal realization of periodic systems
, 1999 We propose balancing related numerically reliable methods to compute minimal realizations of linear periodic systems with time-varying dimensions. The first method belongs to the family of square-root methods with guaranteed enhanced computational ...
Varga, A.
core
Optimal periodic output feedback control: a continuous-time approach
, 2007 : This paper addresses the problem of optimal static output feedback control of linear periodic systems. The proposed approach, which allows to deal with both stable and unstable open loop systems, relies on a continuous-time formulation of the control ...
VIGANO', LUCA +8 more
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International Journal of Robust and Nonlinear Control, EarlyView.ABSTRACT In this work, a new event‐triggered adaptive first‐order sliding mode control method is proposed for nonlinear systems with constant time delays, modeled by interval type‐2 Takagi–Sugeno (T–S) fuzzy systems. To handle matched disturbances with unknown upper bounds, a non‐overestimating adaptation strategy for the control coefficient is ...
Rodrigo Possidonio Noronha +1 more
wiley +1 more source
, 2005 Periodic Lyapunov, Sylvester and Riccati differ- ential equations have many important applications in the analysis and design of linear periodic control systems.
Varga, Andreas
core
Continuity of the Lyapunov exponents of random matrix products
, 2023 We prove that the Lyapunov exponents of random products in a (real or complex) matrix group depends continuously on the matrix coefficients and probability weights.
Viana, Marcelo +2 more
core
Sliding Mode Control in Aerospace Applications: A Survey
International Journal of Robust and Nonlinear Control, EarlyView.ABSTRACT Sliding mode control (SMC) enjoys robustness to matched and unmatched (in the case of minimum phase input‐output dynamics) bounded perturbations, and finite time convergence. Second‐order and higher‐order sliding mode control systems (2‐SMC/HOSMC) retain all the advantages of sliding mode control, but in addition can be applied to systems of ...
Yuri Shtessel, Christopher Edwards
wiley +1 more source
A Novel Approach to Ensure Robust Stability using Unsymmetric Lyapunov Matrix for 2-D Discrete Model
, 2023 1064-1070This paper addresses the issue of ensuring the asymptotic stability of the two-dimensional discrete Roesser model. Most of the emphasis is given now a days on the stability analysis of two-dimensional discrete models because of their wide ...
Pandiya, Govind Prasad, Vidyarthi, Abhay
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