학술논문

A Necessary and Sufficient Condition for Quadratic Stability of a Matrix Polytope
Document Type
Conference
Source
1991 American Control Conference American Control Conference, 1991. :877-878 Jun, 1991
Subject
Robotics and Control Systems
Computing and Processing
Components, Circuits, Devices and Systems
Sufficient conditions
Symmetric matrices
Testing
Stability criteria
Information science
Linear systems
Uncertain systems
Uncertainty
Lyapunov method
Constraint theory
Language
Abstract
The problem of the quadratic stability of uncertain systems is studied within the class of symmetric matrices. The present paper shows that this generalization does not produce any problem under quite a reasonable condition. Some results along this line are presented. One of them shows that the stability test for the case of a matrix polytope becomes simple enough so that it can be formulated in a standard form of optimization problem.