Results 91 to 100 of about 10,321,079 (247)

Equivalence of Lyapunov matrix equations for continuous and discrete systems

Electronics Letters, 1967
It is shown that, through the transformation B=(A+I)(A+I)- 1 , the Lyapunov matrix equations for continuous and discrete systems A'L+LA=-C and A'LA-L=-C, respectively, may be converted one to the other.
openaire   +1 more source

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

Adaptive Event-Triggered Bipartite Consensus of Matrix-Weighted Linear Multi-Agent Systems

IEEE Access
In this paper, adaptive event-triggered bipartite consensus is investigated for matrix-weighted linear leader-following multi-agent systems. The matrix weights characterize the dependencies among the high-dimensional states of neighboring agents.
Yanting Huang, Guohua Zhang, Chen Liu, Rongqiang Zhang   +3 more
doaj   +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

Exponential Looped Lyapunov Functions: Sampled-Data T–S Fuzzy Systems via a Relaxed Cubic Lemma

IEEE Access
A relaxed cubic negative determination lemma is proposed for the stability analysis and sampled-data controller design of Takagi–Sugeno fuzzy systems.
K. Hemalatha, N. Padmaja
doaj   +1 more source

Universal Projective Synchronization of Two Different Hyperchaotic Systems with Unknown Parameters

Journal of Applied Mathematics, 2014
Universal projective synchronization (UPS) of two chaotic systems is defined. Based on the Lyapunov stability theory, an adaptive control method is derived such that UPS of two different hyperchaotic systems with unknown parameters is realized, which is ...
Baojie Zhang, Hongxing Li
doaj   +1 more source

Computational Methods for Periodic Systems - An Overview [PDF]

, 2001
We present an up-to-date survey of numerical methods for the analysis and design of linear discrete-time periodic systems. The basic tool is the periodic Schur form and its variants, for which a certain form of numerical stability can be ...
IFAC Workshop on Periodic Control Systems (PSYCO 2001), Dooren, Paul Van, Varga, Andras, Van Dooren, Paul   +3 more
core  

Control Design Based on Generalized Lur'e Lyapunov Functions for Sampled‐Data Lur'e Systems

International Journal of Robust and Nonlinear Control, EarlyView.
ABSTRACT This article addresses the synthesis of stabilizing control laws for aperiodic sampled‐data Lur'e systems. Based on a hybrid system representation of the closed‐loop system and a timer‐dependent generalized Lur'e–Postnikov type Lyapunov function, stabilization conditions are obtained by separating decision variables with the application of two
Arthur Scolari Fagundes, João Manoel Gomes da Silva Jr., Sophie Tarbouriech   +2 more
wiley   +1 more source

Bipartite Consensus for Multi-Agent Systems With Time-Varying Delays Based on Method of Delay Partitioning

IEEE Access, 2019
Bipartite consensus protocol is designed for multi-agent systems with time-varying delays. Then, the bipartite consensus problem is transformed into a corresponding stability problem by methods of gauge transformation and state transformation.
Xiaodan Zhang, Kaien Liu, Zhijian Ji
doaj   +1 more source

Construction of Lyapunov function for power system based on solving linear matrix inequality

Electrical Engineering in Japan, 2005
AbstractThis paper presents construction of Lyapunov functions for power systems based on solving the Linear Matrix Inequality (LMI) derived from the Lyapunov stability theorem considering the dynamics of load characteristic and AVR control system. The proposed Lyapunov function is constructed as a quadratic form of state variables and an integral term
Ishigame, Atsushi, Sakaguchi, Hiromu, Takashima, Jun, Suzaki, Shirou   +3 more
openaire   +2 more sources