Identification of Multivariable Linear Systems Using Observable Canonical Form

Interconnection of Kronecker canonical form and special coordinate basis of multivariable linear systems

This paper establishes a straightforward interconnection between the Kronecker canonical form and the special coordinate basis of linear systems. Such an interconnection yields an alternative approach for computing the Kronecker canonical form, and as a by-product, the Smith form, of the system matrix of general multivariable time-invariant linear systems. The overall procedure involves the tra...

Multivariable Linear Systems

[ I j M. Athans and P. Falb. Optimal Corzrrol. New York: McGrawHill, 1966. [2j D. L. Kleinman and M. Athans. "The design of suboptimal linear time-varying systems." I E E E Trans. Automatic Corm.. vol. AC-13, pp. 150-158. April 1968. [3j T. Chen, "Sensitivity analysis and optimum design of multivariable regulators with application to VTOL aircraft stabilization," Ph.D. dissertation, Universit...

Control Of Linear Multivariable Systems

1. Linear Multivariable Systems 1.1. Emergence of State Space Approach 1.2. Discrete-time Control 1.3. Riccati Equation and Stabilization for Continuous-time Systems 1.4. Design Procedure 1.5. Static Output Feedback and Dynamic Compensation 1.6. Servo Control and Internal Model Principle 1.7. Design and Analysis based on Frequency Response 1.8. Control System Example 2. Control System Example 2...

On the transformation of nonlinear dynamical systems into the extended nonlinear observable canonical form

Counting Equivalent Linear Finite Transducers Using a Canonical Form

The notion of linear finite transducer (LFT) plays a crucial role in a family of cryptosystems introduced in the 80’s and 90’s. However, as far as we know, no study was ever conducted to count and enumerate these transducers, which is essential to verify if the size of the key space, of the aforementioned systems, is large enough to prevent an exhaustive search attack. In this paper, we determi...