Results 41 to 50 of about 1,487,868 (225)

Refined Upper Solution Bound of the Continuous Coupled Algebraic Riccati Equation

Complexity, 2020
The continuous coupled algebraic Riccati equation (CCARE) has wide applications in control theory and linear systems. In this paper, by a constructed positive semidefinite matrix, matrix inequalities, and matrix eigenvalue inequalities, we propose a new ...
Li Wang
doaj   +1 more source

Unveiling New Perspectives on the Hirota–Maccari System With Multiplicative White Noise

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT In this study, we delve into the stochastic Hirota–Maccari system, which is subjected to multiplicative noise according to the Itô sense. The stochastic Hirota–Maccari system is significant for its ability to accurately model how stochastic affects nonlinear wave propagation, providing valuable insights into complex systems like fluid dynamics
Mohamed E. M. Alngar, Khaled A. Gepreel, Reham M. A. Shohib, Yakup Yildirim   +3 more
wiley   +1 more source

Computation of General Inner-Outer and Spectral Factorizations [PDF]

, 2000
In this paper, we solve two problems in linear systems theory: the computation of the inner-outer and spectral factorizations of a continuous-time system considered in the most general setting.
Varga, A., Oara, C.
core  

Optimal Homogeneous ℒp$$ {\boldsymbol{\mathcal{L}}}_{\boldsymbol{p}} $$‐Gain Controller

International Journal of Robust and Nonlinear Control, EarlyView.
ABSTRACT Nonlinear ℋ∞$$ {\mathscr{H}}_{\infty } $$‐controllers are designed for arbitrarily weighted, continuous homogeneous systems with a focus on systems affine in the control input. Based on the homogeneous ℒp$$ {\mathcal{L}}_p $$‐norm, the input–output behavior is quantified in terms of the homogeneous ℒp$$ {\mathcal{L}}_p $$‐gain as a ...
Daipeng Zhang, Benjamin Calmbach, Jaime A. Moreno, Johann Reger   +3 more
wiley   +1 more source

On the solvability of the Riccati matrix algebraic equation [PDF]

, 1994
Одержано деякі умови розв’язності матричного алгебраїчного рівняння Ріккаїі.We obtain conditions of solvability of the Riccati matrix algebraic ...
Прокіп, В.М.
core   +1 more source

Discrete Implementations Modify the Intuition of Final Set Adjustment in Barrier Function Based Control

International Journal of Robust and Nonlinear Control, EarlyView.
ABSTRACT This paper establishes an implementation‐aware framework for Barrier Function Adaptation (BFA) and shows that discrete‐time realizations fundamentally alter the logic of final‐set adjustment. In particular, sufficient conditions are derived to preserve the key benefits of BFA (predefined performance, gain adaptation with uncertain perturbation
Luis Ovalle, Andrés González, Leonid Fridman, Meléndez Alfredo   +3 more
wiley   +1 more source

ON DETERMINATION OF SOLUTION OF UNILATERAL QUADRATIC MATRIX EQUATION

Міжнародний науково-технічний журнал "Проблеми керування та інформатики"
Usually used for finding the solutions of discrete algebraic Riccati equation, the method of doubling transformation is generalized on the case of unilateral quadratic matrix equation. On the examples, the efficiency of the offered algorithm of solution
V.B. Larin
doaj   +1 more source

Some Upper Matrix Bounds for the Solution of the Continuous Algebraic Riccati Matrix Equation

Journal of Applied Mathematics, 2013
We propose diverse upper bounds for the solution matrix of the continuous algebraic Riccati matrix equation (CARE) by building the equivalent form of the CARE and using some matrix inequalities and linear algebraic techniques.
Zübeyde Ulukök, Ramazan Türkmen
doaj   +1 more source

Privacy‐Preserving Data‐Driven Distributed MPC for Heterogeneous Nonlinear Multi‐Agent Systems

International Journal of Robust and Nonlinear Control, EarlyView.
ABSTRACT Distributed model predictive control (DMPC) is a cornerstone for coordinating multi‐agent systems, yet simultaneously ensuring data privacy, handling unknown nonlinear dynamics, and managing heterogeneous constraints remains an open challenge.
Mahmood Mazare, Hossein Ramezani
wiley   +1 more source

The discrete algebraic Riccati equation and linear matrix inequality

, 1998
We study the discrete time algebraic Riccati equation. In particular we show that even in the most general cases there exists a one-one correspondence between solutions of the algebraic Riccati equation and deflating subspaces of a matrix pencil. We also
Saberi, A., Stoorvogel, A.A., Ali Saberi, Anton A. Stoorvogel   +3 more
core   +1 more source