Asymptotic behaviours of stochastic differential delay equations [PDF]
, 2006 Most of the existing results on stochastic stability use a single Lyapunov function, but we shall instead use multiple Lyapunov functions in this paper.
Shen, Yi, Mao, Xuerong
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STABILITY OF NONLINEAR DYNAMICAL SYSTEM MOTION UNDER CONSTANTLY ACTING PERTURBATIONS [PDF]
Научно-технический вестник информационных технологий, механики и оптики, 2019 We consider the motion of a mechanical system with several degrees of freedom near zero of the phase space of states under conditions of constantly acting small perturbations. The generalized forces are represented in the dynamic equations by homogeneous
V. G. Melnikov +3 more
doaj +1 more source
A numerical evaluation of solvers for the periodic Riccati differential equation [PDF]
, 2009 Efficient and accurate structure exploiting numerical methods for solving the periodic Riccati differential equation (PRDE) are addressed. Such methods are essential, for example, to design periodic feedback controllers for periodic control systems ...
Andras Varga +14 more
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Matrix Lyapunov inequalities for ordinary and elliptic partial differential equations [PDF]
Topological Methods in Nonlinear Analysis, 2015 17 ...
Cañada, Antonio, Villegas, Salvador
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Solution of Positive Periodic Discrete Lyapunov Equations with Applications to the Balancing of Periodic Systems. [PDF]
, 1997 The discrete-time positive periodic Lyapunov equations have important applications in the balancing and potentially also in the model reduction of discrete-time periodic systems.
A. Varga, Varga, A., Andreas Varga
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On solving periodic Riccati equations [PDF]
, 2008 Numerically reliable algorithms to compute the periodic non-negative definite stabilizing solutions of the periodic differential Riccati equation (PRDE) and discrete-time periodic Riccati equation (DPRE) are proposed. For the numerical solution of PRDEs,
A. Varga, Varga, Andreas
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A two-variable approach to solve the polynomial Lyapunov equation
, 2001 A two-variable polynomial approach to solve the one-variable polynomial Lyapunov equation is proposed. Lifting the problem from the one-variable to the two-variable context allows to use Faddeev-type recursions in order to solve the polynomial Lyapunov ...
Peeters, Ralf, Rapisarda, Paolo
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Observer‐Based Adaptive Event‐Triggered Tracking Control for Fuzzy TS Systems With Premise Mismatch
International Journal of Adaptive Control and Signal Processing, EarlyView.This paper presents an adaptive logistic event‐triggered observer‐based tracking controller for Takagi‐Sugeno fuzzy systems under constrained inputs and network delays. Leveraging a hybrid LMI and Secretary Bird Optimization approach, this strategy significantly minimizes communication overhead and computational burden while ensuring optimal reference ...
Oussama Djadane +3 more
wiley +1 more source
Some Unsolved Problems in Stability and Optimal Control Theory of Stochastic Systems
Mathematics, 2022 In spite of the fact that the theory of stability and optimal control for different types of stochastic systems is well developed and very popular in research, there are some simply and clearly formulated problems, solutions of which have not been found ...
Leonid Shaikhet
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dynoGP: Deep Gaussian Processes for Dynamic System Identification
International Journal of Adaptive Control and Signal Processing, EarlyView.This work introduces a novel class of deep models for system identification, dynamical deep Gaussian processes, which combine the strengths of data‐driven methods, such as those based on neural network architectures, with the ability to output a probability distribution for uncertainty representation.
Alessio Benavoli +3 more
wiley +1 more source