Coprime factorizations and stability of fractional differential systems

By C. Bonnet, Jonathan R. Partington. 2000

180 citations recorded by the source corpus.

Subfields: Control and Systems Engineering, Numerical Analysis, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/ba75be59cfe1a4b57aa9914a9f72d1003e05e9c1

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Control and Systems Engineering

1. Dumitru Băleanu
2. Weihua Deng
3. Hadi Delavari
4. Jalil Sadati

In Numerical Analysis

1. Dumitru Băleanu
2. Weihua Deng
3. Arran Fernandez
4. Thabet Abdeljawad
5. Ali H. Bhrawy
6. Pshtiwan Othman Mohammed
7. Mehmet Yavuz
8. Amin Jajarmi

In Statistical and Nonlinear Physics

1. Dumitru Băleanu
2. Weihua Deng
3. Guo-cheng Wu
4. Changpin Li
5. Thabet Abdeljawad
6. Delfim F. M. Torres
7. Om Prakash Agrawal
8. N. Kosmatov

Citations in the corpus

• Stability of Fractional-Order Systems with Rational Orders (2008, unknown): “In [13], the co-prime factorization method is used for stability analysis of fractional differential systems.”
• Smoothness and stability of the solutions for nonlinear fractional differential equations (2010, background): “The necessary and sufficient stability conditions for linear FDEs and linear time-delayed FDEs have already been obtained in [16,17,8].”
• Stability analysis of Caputo fractional-order nonlinear systems revisited (2011, background): “The necessary and sufficient stability conditions for linear fractional differential equations (FDEs) and linear time-delayed FDEs have already been obtained in [11–13].”
• Stability of linear continuous-time fractional order systems with delays of the retarded type (2008, unknown): “Key words: fractional system, linear, continuous-time, stability, delays, retarded type.”