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...

Let M be a complex matrix of rank one, i.e. M = pq′ where p, q are complex nby-1 matrices and ′ denotes Hermitean conjugation. Let μC(M) and μR(M) denote the structured singular values μ(M,∆) of M defined with ∆ = ∆C and ∆ = ∆R respectively, where ∆C is the cone of all diagonal matrices with complex entries, and ∆R is the cone of all diagonal matrices with real entries. (a) Express μC(M) and μR...

Motivated by the seminal theorem of Kharitonov on robust stability of interval polynomials[1, 2], a number of papers on robustness analysis of uncertain systems have been published in the past few years[3, 4, 5, 6, 7, 8, 9, 10]. Kharitonov’s theorem states that the Hurwitz stability of the real (or complex) interval polynomial family can be guaranteed by the Hurwitz stability of four (or eight)...