Results 191 to 200 of about 742,320 (261)

Optimal flock formation induced by agent heterogeneity. [PDF]

Nat Commun
Montanari AN, Barioni AED, Duan C, Motter AE.   +3 more
europepmc   +1 more source

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Stability and the matrix Lyapunov equation for discrete 2-dimensional systems

IEEE Transactions on Circuits and Systems, 1986
A necessary and sufficient condition is established for the existence of positive definite solutions to the 2-D Lyapunov equation using properties of strictly bounded real matrices. It is shown that in general the 2-D Lyapunov condition is only sufficient and not necessary for the stability of a 2-D discrete system.
B. Anderson, P. Agathoklis, E. Jury, M. Mansour   +3 more
semanticscholar   +5 more sources

Controllability of impulsive matrix Lyapunov systems

Applied Mathematics and Computation, 2015
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Bhaskar Dubey, R. K. George
semanticscholar   +3 more sources

On Ψ-boundedness and Ψ-stability of matrix Lyapunov systems

Journal of Applied Mathematics and Computing, 2008
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
M. Murty, G. Suresh Kumar
semanticscholar   +2 more sources

On Stability and Stabilization of T–S Fuzzy Systems With Time-Varying Delays via Quadratic Fuzzy Lyapunov Matrix

IEEE Transactions on Fuzzy Systems, 2022
This article proposes improved stability and stabilization criteria for Takagi–Sugeno (T–S) fuzzy systems with time-varying delays. First, a novel augmented fuzzy Lyapunov–Krasovskii functional (LKF) including the quadratic fuzzy Lyapunov matrix is ...
Guiling Li, Chen Peng, Xiangpeng Xie, Shaorong Xie   +3 more
semanticscholar   +3 more sources

Novel stability criteria for linear time-delay systems using Lyapunov-Krasovskii functionals with a cubic polynomial on time-varying delay

IEEE/CAA Journal of Automatica Sinica, 2021
One of challenging issues on stability analysis of time-delay systems is how to obtain a stability criterion from a matrix-valued polynomial on a time-varying delay.
Xianming Zhang, Q. Han, Xiaohua Ge
semanticscholar   +3 more sources

Lyapunov matrix based necessary and sufficient stability condition by finite number of mathematical operations for retarded type systems

Automatica, 2019
A new necessary and sufficient exponential stability condition for systems with multiple delays is presented. It is given in terms of a symmetric block matrix uniquely determined by the delay Lyapunov matrix.
M. A. Gómez, A. Egorov, S. Mondié
semanticscholar   +3 more sources

An Asymmetric Lyapunov–Krasovskii Functional Method on Stability and Stabilization for T-S Fuzzy Systems With Time Delay

IEEE Transactions on Fuzzy Systems, 2022
This article presents a new asymmetric Lyapunov–Krasovskii functional method on the stability and stabilization of Takagi–Sugeno fuzzy systems with time delay.
Zhao Sheng, Chong Lin, Bing Chen, Qing‐Guo Wang   +3 more
semanticscholar   +3 more sources

Stability and the matrix Lyapunov equation for delay differential systems

International Journal of Control, 1989
Abstract Asymptotic stability independent of the delay of linear differential delay systems with commensurate and non-commensurate delays is analysed using 2-D (two-dimensional) and n-D (n-dimensional) state-space models. Sufficient conditions for stability are obtained in terms of the frequency dependent 1-D (one-dimensional) Lyapunov equations.
P. Agathoklis, S. Foda
semanticscholar   +2 more sources