計画数理学講座

Resarch Seminar

Special Seminar

Date: 2013/05/20 (Mon) 10:30-12:00
Title: Worst-case Mahler measure in uncertain networked control systems
Lecturer: Prof. Graziano Chesi
Affiliation: Department of Electrical and Electronic Engineering of the University of Hong Kong
Abstract:
The Mahler measure plays a key role in networked control systems as it allows one to derive stabilizability conditions for such systems. This talk presents our recent results for estimating the worst-case Mahler measure in networked control systems affected by polytopic uncertainty. It is shown that conditions for establishing upper bounds of the worst-case Mahler measure can be formulated through convex programs with linear matrix inequalities (LMIs). It is also shown that the conservatism of the upper bounds can be arbitrarily decreased for a sufficiently large (finite) size of the LMIs, which is known a priori in some cases.

Group Seminar I

Title: Linear System Theory 2nd ed
Author: Wilson J. Rugh
Publisher: Prentice Hall

7/1(Mon)	Mori	Ex 6.11, 9.7
	Taguchi	Ex 9.10
	Yanagizawa	Ex 5.22, 6.5, 9.15
	Kawabata	Ex 4.11
6/26(Wed)	Mori	Chapter 9: Summary and Controllability
	Yanagizawa	Ex 5.10, 9.1
	Kurzrock	Ex 9.4
	Taguchi	Ex 9.10
	Kawabata	Ex 9.13
6/24(Mon)	Mori	Chapter 9: Summary and Controllability
	Taguchi	Chapter 9: Observability
	Kawabata	Chapter 9: Additional Examples
	Yanagizawa	Ex 5.10
6/19(Wed)	Yanagizawa	Ex 6.5
	Mori	Ex 5.18, 6.11
	Kawabata	Ex 6.2, 6.19
	Kurzrock	Ex 6.8
6/17(Mon)	Mori	Chapter 6: Summary and Uniform Stability
	Taguchi	Chapter 6: Uniform Exponential Stability
	Kawabata	Chapter 6: Uniform Asymptotic Stability
	Yanagizawa	Chapter 6: Lyapunov Transform
	Kurzrock	Chapter 6: Additional Examples
	Kawabata	Ex. 5.6
	Kurzrock	Ex 5.14
6/12(Wed)	Mori	Ex 4.3, 4.24, 5.18
	Taguchi	Ex 5.2
	Yanagizawa	Ex 5.6
6/5(Wed)	Kawabata	Chapter 5: Summary and Time Invariant Case
	Yanagizawa	Chapter 5: Periodic Case
	Kurzrock	Chapter 5: Additional Examples
6/3(Mon)	Mori	Ex 4.3, 4.24
	Taguchi	Ex 4.7
	Yanagizawa	Ex 4.15
	Kurzrock	Ex 4.19
5/29(Wed)	Kurzrock	Chapter 4: Summary and Two Special Cases
	Mori	Chapter 4: General Properties
	Taguchi	Chapter 4: State Variable Changes
5/27(Mon)	Kurzrock	Ex 3.2, 3.12
	Mori	Ex 3.4
	Taguchi	Ex 3.6
	Kawabata	Ex 3.8
	Yanagizawa	Ex 3.10
5/22(Wed)	Kawabata	Chapter 3: Complete Solution
	Yanagizawa	Chapter 3: Additional Examples
5/20(Mon)	Mori	Chapter 3: Summary and Existence
	Taguchi	Chapter 3: Uniqueness
5/13(Mon)	Kurzrock	Ex 2.1
	Mori	Ex 2.4
	Taguchi	Ex 2.7
	Kawabata	Ex 2.10
	Yanagizawa	Ex 2.13
5/8(Wed)	Kawabata	Chapter 2: Summary and Examples
	Yanagizawa	Chapter 2: Linearlization
	Kurzrock	Chapter 2: State Equation Implementation
	Taguchi	Ex 1.10
	Kawabata	Ex 1.13
	Yanagizawa	Ex 1.16
4/24(Wed)	Yanagizawa	Ex 1.1
	Kurzrock	Ex 1.4
	Mori	Ex 1.7
	Taguchi	Ex 1.10
	Kawabata	Ex 1.13
	Yanagizawa	Ex 1.16
4/22(Mon)	Yanagizawa	Chapter 1: Matrix Calculus
	Kurzrock	Chapter 1: Convergence
	Mori	Chapter 1: Laplace Transform
	Taguchi	Chapter 1: z-Transform
4/15(Mon)	Mori	Chapter 1: Summary and Vectors
	Taguchi	Chapter 1: Matrices
	Kawabata	Chapter 1: Quadratic Forms

Group Seminar II

Title: Probability and Computing --- Randomized Algorithms and Probabilistic Analysis ---
Author: Michael Mitzenmacher and Eli Upfal
Publisher: Cambridge Universisty Press

7/22(Mon)	Mori	Chapter 4, 4.2.3-4.4
	Uyama	Ex 4.1
	Lee	Ex 4.13
7/12(Fri)	Mori	Ex. 4.7
7/1(Mon)	Mori	Chapter 4, 4.1-4.2.2
6/17(Mon)	Mori	Chapter 3
6/10(Mon)	Lee	Chapter 3
5/27(Mon)	Mori	Ex 2.3, 2.21
	Lee	Ex 2.9
	Uyama	Ex 2.15
5/13(Mon)	Mori	Chapter 2.1-2.3
	Uyama	Chapter 2.1-2.3
4/22(Mon)	Uyama	Ex 1.1, 1.19
	Mori	Ex 1.7
	Lee	Ex 1.13
4/15(Mon)	Lee	Chapter 1

Activity

Resarch Seminar

Special Seminar

Group Seminar I

Group Seminar II