Journal ArticleDOI
Stability analysis of interconnected systems with possibly unstable subsystems
Reads0
Chats0
TLDR
In this article, a method for stability analysis of nonlinear interconnected dynamical systems is presented, in which a new scalar Lyapunov function is considered as weighted sum of individual LyAPunov functions for each free subsystem and individual scalar functions related separately to each connection.About:
This article is published in Systems & Control Letters.The article was published on 1983-08-01. It has received 20 citations till now. The article focuses on the topics: Lyapunov function & Lyapunov equation.read more
Citations
More filters
Journal ArticleDOI
The majorant Lyapunov equation: A nonnegative matrix equation for robust stability and performance of large scale systems
TL;DR: In this article, a robust stability and performance analysis technique for harmonic oscillators with uncertain but constant natural frequency was developed. And the authors proved that the majorant Lyapunov equation predicts unconditional stability.
Journal ArticleDOI
Stabilization of large-scale non-linear infinite delay systems
TL;DR: In this article, it is shown that exponential stability can be achieved by a suitable choice of state feedback controls of large-scale systems with infinite delay, and that a Lyapunov functional can be constructed by using certain results from J. K. Hale's Theory of Functional Differential Equations.
Journal ArticleDOI
Exact determination of a Lyapunov function and the asymptotic stability domain
TL;DR: In this paper, the necessary and sufficient conditions for an exact direct determination of both a Lyapunov function υ and the asymptotic stability domain D of the zero state is solved for time-invariant continuous-time systems with continuous unique motions.
Journal ArticleDOI
The theory of stability of an orbiting observatory with gyroscopic stabilization of motion
TL;DR: In this article, the method of Lyapunov's matrix functions is used to establish the stability conditions for a spacecraft, and a control system with exesutive devices in the form of three gyroscopic frames orients the spacecraft in inertial space.
Journal ArticleDOI
Elements of the Theory of Stability of Hybrid Systems (Review)
TL;DR: In this paper, sufficient conditions for different types of stability of three classes of hybrid systems modeled by dynamic equations on a time scale, impulsive hereditary systems, and equations in the Banach space are discussed.
References
More filters
Large scale dynamic systems
TL;DR: Classes of large scale dynamic systems were discussed in the context of modern control theory in the technical fields of aeronautics, water resources and electric power.
Journal ArticleDOI
Asymptotic stability and instability of large-scale systems
TL;DR: In this paper, the authors extended the application of Lyapunov's theory to stability analysis of large-scale dynamic systems by redefining interconnection functions among the subsystems according to interconnection matrices, which can be used to determine connective asymptotic stability of large scale systems under arbitrary structural perturbations.