Robert Shorten spends much of his time researching Linear system, Lyapunov function, Distributed computing, Control theory and Mathematical analysis. His Linear system research is multidisciplinary, incorporating perspectives in Exponential stability, Eigenvalues and eigenvectors, Pure mathematics and Stability theory. His research in Lyapunov function intersects with topics in Stability, Discrete time and continuous time, LTI system theory, Hybrid system and Applied mathematics.
The Distributed computing study combines topics in areas such as Telecommunications network, Scalability, Queueing theory and Server. His work carried out in the field of Control theory brings together such families of science as Simple and Upper and lower bounds. The study incorporates disciplines such as Lyapunov equation and Lyapunov redesign in addition to Mathematical analysis.
His primary areas of investigation include Control theory, Linear system, Lyapunov function, Distributed computing and Applied mathematics. His research investigates the link between Control theory and topics such as Control engineering that cross with problems in Control. Robert Shorten has researched Linear system in several fields, including Discretization and Discrete time and continuous time.
Robert Shorten works mostly in the field of Lyapunov function, limiting it down to concerns involving Mathematical analysis and, occasionally, Pure mathematics. In his research on the topic of Distributed computing, Network congestion is strongly related with Telecommunications network. Much of his study explores Applied mathematics relationship to Eigenvalues and eigenvectors.
Robert Shorten mostly deals with Control theory, Control system, Boundary, Distributed computing and Mathematical optimization. His study involves Robustness, Linear system and Descriptor systems, a branch of Control theory. His studies deal with areas such as Feedback control and Discrete time and continuous time as well as Linear system.
His Control system research includes themes of Class and Control. His biological study spans a wide range of topics, including State, Exponential growth, Applied mathematics, Eigenvalues and eigenvectors and Distributed parameter system. Robert Shorten has included themes like Database transaction and Distributed ledger in his Distributed computing study.
Robert Shorten focuses on Control theory, Control system, Boundary, Distributed parameter system and Class. Robert Shorten combines subjects such as Optimization problem and Exponential function with his study of Control theory. His Control system study incorporates themes from Embedding and Finite set.
His Boundary research incorporates elements of State and Exponential growth. Robert Shorten focuses mostly in the field of Distributed parameter system, narrowing it down to topics relating to Applied mathematics and, in certain cases, Matrix decomposition, Fading memory and Reaction–diffusion system. His Class research incorporates themes from Eigenvalues and eigenvectors and Uniqueness.
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Stability Criteria for Switched and Hybrid Systems
Robert Shorten;Fabian Wirth;Oliver Mason;Kai Wulff.
Siam Review (2007)
A positive systems model of TCP-like congestion control: asymptotic results
Robert Shorten;Fabian Wirth;Douglas Leith.
IEEE ACM Transactions on Networking (2006)
On the interpretation and identification of dynamic Takagi-Sugeno fuzzy models
T.A. Johansen;R. Shorten;R. Murray-Smith.
IEEE Transactions on Fuzzy Systems (2000)
On Linear Copositive Lyapunov Functions and the Stability of Switched Positive Linear Systems
O. Mason;R. Shorten.
IEEE Transactions on Automatic Control (2007)
On the Stability of Switched Positive Linear Systems
L. Gurvits;R. Shorten;O. Mason.
IEEE Transactions on Automatic Control (2007)
Experimental evaluation of TCP protocols for high-speed networks
Yee-Ting Li;Douglas Leith;Robert N. Shorten.
IEEE ACM Transactions on Networking (2007)
Brief paper: On linear co-positive Lyapunov functions for sets of linear positive systems
Florian Knorn;Oliver Mason;Robert Shorten.
Automatica (2009)
A result on common quadratic Lyapunov functions
R. Shorten;K.S. Narendra;O. Mason.
IEEE Transactions on Automatic Control (2003)
On common quadratic Lyapunov functions for pairs of stable LTI systems whose system matrices are in companion form
R.N. Shorten;K.S. Narendra.
IEEE Transactions on Automatic Control (2003)
On the stability and existence of common Lyapunov functions for stable linear switching systems
R.N. Shorten;K.S. Narendra.
conference on decision and control (1998)
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