Author(s): Vanita Jain, B. K. Lande
Published in: International Journal of Engineering Research & Technology
License: This work is licensed under a Creative Commons Attribution 4.0 International License.
Volume/Issue: Vol.1 - Issue 6 (August- 2012)
This paper introduces a method to develop the state transition matrix for n-dimensional linear, continuous time-varying systems. The state transition matrix is essential for determining the complete solution, stability, controllability and observability of linear time-varying systems. Cayley-Hamilton technique for finding the solution of linear-time invariant systems is extended to find the state transition matrix of general, n-dimensional continuous time-varying systems. The method gives a general procedure to find the state transition matrix for n-dimensional linear time-varying systems and is very useful in the study of time-varying systems.
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