Add to ORKGAbstract. We revisit the canonical continuous-time and discrete-time matrix algebraic and ma-trix differential equations that play a central role in Lyapunov based stability arguments. The goal is to generalize and extend these types of equations and subsequent analysis to dynamical systems on domains other than R or Z, e.g. nonuniform discrete domains or domains consisting of a mixture of discrete and continuous components. We compare and contrast the standard theor
AbstractWe consider a time-invariant, finite-dimensional system of ordinary differential equations, ...
This paper addresses the problem of establishing stability of 2D mixed continuous-discrete-time syst...
The asymptotic stability of discrete-time and continuous-time linear systems described by the equati...
Abstract—We revisit the canonical continuous-time and discrete-time matrix algebraic and matrix diff...
The second edition of this textbook provides a single source for the analysis of system models repre...
This monograph is a first in the world to present three approaches for stability analysis of solutio...
This paper extends to the discrete-time case some robust stability conditions, recently obtained for...
: Motivated by a robust exponential stability problem of a finite dimensional state space system, we...
Abstract. Finite-time stability is dened for equilibria of continuous but non-Lipschitzian autonomou...
The notions of constant, discrete-time, and linear dynamical systems over a commutative ring and the...
Abstract—In this note we consider stability analysis of discrete-time discontinuous systems using Ly...
This paper considers the problem of stability analysis of discrete-time dynamics that are positively...
The stability of nonlinear systems is analyzed by the direct Lyapunov’s method in terms of Lyapunov ...
The primary goal of this paper is to describe the classes of all polynomial vector fields such that ...
Abstract—A recent development in Lyapunov stability theory allows for analysis of switched linear sy...
AbstractWe consider a time-invariant, finite-dimensional system of ordinary differential equations, ...
This paper addresses the problem of establishing stability of 2D mixed continuous-discrete-time syst...
The asymptotic stability of discrete-time and continuous-time linear systems described by the equati...
Abstract—We revisit the canonical continuous-time and discrete-time matrix algebraic and matrix diff...
The second edition of this textbook provides a single source for the analysis of system models repre...
This monograph is a first in the world to present three approaches for stability analysis of solutio...
This paper extends to the discrete-time case some robust stability conditions, recently obtained for...
: Motivated by a robust exponential stability problem of a finite dimensional state space system, we...
Abstract. Finite-time stability is dened for equilibria of continuous but non-Lipschitzian autonomou...
The notions of constant, discrete-time, and linear dynamical systems over a commutative ring and the...
Abstract—In this note we consider stability analysis of discrete-time discontinuous systems using Ly...
This paper considers the problem of stability analysis of discrete-time dynamics that are positively...
The stability of nonlinear systems is analyzed by the direct Lyapunov’s method in terms of Lyapunov ...
The primary goal of this paper is to describe the classes of all polynomial vector fields such that ...
Abstract—A recent development in Lyapunov stability theory allows for analysis of switched linear sy...
AbstractWe consider a time-invariant, finite-dimensional system of ordinary differential equations, ...
This paper addresses the problem of establishing stability of 2D mixed continuous-discrete-time syst...
The asymptotic stability of discrete-time and continuous-time linear systems described by the equati...