Related Experiment Video
Updated: Aug 22, 2025

Real-Time DC-dynamic Biasing Method for Switching Time Improvement in Severely Underdamped Fringing-field Electrostatic MEMS Actuators
Published on: August 15, 2014
Stability analysis for positive switched systems having stable and unstable subsystems based on a weighted average
1School of Mathematics and Computer Science, Shanxi Normal University, Taiyuan, 030031, China.
Abstract:
By developing two novel switching schemes - the slow and fast weighted average dwell time, the stability problem for positive switched systems with subsystems stable or partially unstable is investigated. It can be seen that the new schemes cover both the average dwell time and mode-dependent average dwell time schemes under some mild conditions, and stability results based on our proposed approach have lower bound and are more flexible than the existing results. Three numerical examples comparing the relevant results are analyzed to illustrate the efficiency of the new findings.
Related Concept Videos
Stability
The stability of an LTI system is determined by the roots of its characteristic equation, known as poles. A system is stable if it produces a bounded...
Multimachine Stability
In analyzing the system, the nodal equations represent the relationship between bus voltages, machine voltages, and machine currents. The nodal equation is given by:
Pole and System Stability
Simple poles are unique roots of the denominator polynomial. Each simple pole corresponds to a distinct solution to the system's characteristic equation, typically resulting in exponential decay terms in the system's...
Linear Approximation in Time Domain
For a simple pendulum with a mass evenly distributed along its length and the center of mass located at half the pendulum's length,...
Routh-Hurwitz Criterion II
The first scenario occurs when a singular zero appears in the first column of the Routh table. This situation creates a division by zero issues. To resolve this, a small positive or negative number, denoted as epsilon (∈), is substituted for the zero. The stability analysis proceeds by assuming a sign for ∈. If ∈ is positive, any sign change in the first...
BIBO stability of continuous and discrete -time systems
To determine the BIBO stability, the convolution integral is utilized when a bounded continuous-time input is applied to a Linear Time-Invariant (LTI) system....

